Percentage Kahan-Kahan Use Hota Hai | Class 8 Maths Book 2 Ch 1 (Fractions in Disguise)

๐Ÿ“˜ Class 8 ยท Ganita Prakash Book 2Ch 1 ยท Fractions in DisguisePost 2 / 14โฑ 25โ€“30 min
Percentage Kahan-Kahan Use Hota Hai ๐Ÿ”

โœ… Pehle Yeh Aata Hai?

Yeh post shuru karne se pehle, in teen sawaalon ko 1 minute mein khud try kijiye:

  1. 3/5 ko percentage mein likho.
  2. 45% ko simplest fraction mein likho.
  3. 24 mein se 18 kitne percent hai?
Answers dekho
  1. 3/5 ร— 100 = 300/5 = 60%
  2. 45% = 45/100 = 9/20 (upar-neeche 5 se divide)
  3. 18/24 ร— 100 = 1800/24 = 75%

Teeno sahi? Badhiya, aage chaliye! Koi galat hua? Koi baat nahi, pehle Post 1: Percentage Kya Hai? ek baar padh lijiye, phir yahan wapas aaiye.

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๐ŸŽฌ Kahani: Chintu Ka Ek Din

Subah 6 baje Chintu ki aankh khuli. Phone uthaya, screen pe likha tha: ๐Ÿ”‹ 15%. “Uff, charge karna bhool gaya!”

School pahuncha to notice board pe likha tha: “Exam dene ke liye 75% attendance zaroori hai.”

Lunch mein canteen wale bhaiya bole: “Aaj samose pe 10% off!”

Shaam ko TV pe news aayi: “Kal baarish ki sambhavna 80% hai.” Aur raat ko papa ke phone pe message aaya: “Aapka 90% data use ho chuka hai.”

Chintu ne socha, “Arre! Aaj to din bhar % hi % dikha!” Aapne dhyan diya? Ek hi din mein 5 alag jagah percentage aaya: battery, attendance, discount, mausam aur mobile data.

Aaj hum dekhenge ki percentage kahan-kahan chhupa hai, aur har jagah uska matlab kaise padhein. ๐Ÿ˜‰

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๐Ÿ“– Concept: Percentage Kahan-Kahan Use Hota Hai?

Step 1: Yaad karo, % ka ek hi kaam hai

Post 1 mein humne seekha: x% = x/100, yaani “har 100 mein se x”.

WHY yeh itna kaam ka hai? Kyunki duniya mein totals alag-alag hote hain (kisi class mein 40 bachche, kisi mein 55). Percentage sabko ek hi base, 100, pe le aata hai. Isliye jahan bhi “hissa” batana ho ya “tulna” karni ho, wahan percentage aa jaata hai.

Step 2: Percentage ke 5 bade kaam

KaamKahan dikhta haiExample
1. Hissa batanaMarks, attendance, battery, survey“Class ke 35% bachche ladkiyan hain”
2. Kisi cheez mein kya-kya mila haiKapde, khaane ke packet, hawa, sona“60% cotton, 40% polyester”
3. Tulna (compare)Results, khel, voting“School A ka result 92%, School B ka 88%”
4. PaisaSale, bank, tax“20% OFF”, “GST 18%”
5. Sambhavna (chance)Mausam ki bhavishyavani“Baarish ki sambhavna 80%”

WHY itni alag jagah ek hi cheez? Kyunki in sab mein ek hi sawaal chhupa hai: “Poore ka kitna hissa?” Aur is sawaal ka sabse aasaan jawab percentage deta hai.

Step 3: Koi bhi percentage wali line kaise padhein? (3 Sawaal)

Jab bhi aap “x%” padho, apne aap se yeh 3 sawaal poochho:

  1. Kiska percentage? Poora (total) kya hai? Jaise “75% attendance” mein total = school ke kul din.
  2. Kitna? Us total ke har 100 hisson mein se kitne? (75)
  3. Baaki kitna? 100% โˆ’ x%. (100% โˆ’ 75% = 25% din chhutti le sakte ho, usse zyada nahi)

WHY teesra sawaal kaam karta hai? Kyunki poori cheez = 100%. Agar uska ek hissa x% hai, to bacha hua hissa 100 โˆ’ x hi hoga. Jaise 100 rupaye mein se 75 kharch hue to 25 bache.

Step 4: Saare hisse milke 100%

Agar kisi cheez ko alag-alag hisson mein baata jaaye (aur koi hissa do baar na gina jaaye), to saare percentages ka jod 100% hi hoga.

Jaise hawa: lagbhag 78% nitrogen + 21% oxygen + 1% baaki gases = 100%.

WHY? Kyunki saare hisse milke poori cheez banate hain, aur poori cheez = 100/100 = 100%. Yeh ek badhiya check bhi hai: agar aapke hisson ka jod 100% nahi aa raha, to kahin galti hai!

Step 5: Data ko percentage mein badalna

Newspaper, school aur sarkar apna data aksar percentage mein batate hain. Tareeka wahi Post 1 wala: (hissa รท total) ร— 100.

Jaise 50 bachchon ki class mein 20 bachche cycle se aate hain โ†’ 20/50 ร— 100 = 40%. Ab koi bhi, kisi bhi school se, is 40% ko apne school se compare kar sakta hai.

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๐Ÿ” Deep Concept: Percentage ke 2 chhupe niyam

Niyam 1: Percentage bina total ke adhoora hai. “50% bachche aaye” sunke aap nahi bata sakte ki 5 aaye ya 500. Percentage sirf hissa batata hai, asli ginti nahi. Asli ginti ke liye total chahiye. (Total se asli number kaise nikalte hain, woh hum agle post, Post 3 mein padhenge.)

Niyam 2: “Jod 100%” sirf tab, jab hisse alag-alag hon. Agar survey mein har bachcha sirf ek favourite fruit chun sakta hai, to sabka jod 100% hoga. Par agar bachche ek se zyada fruit chun sakte hain, to ek hi bachcha do baar gina jaata hai, aur jod 100% se zyada bhi aa sakta hai! Isme koi galti nahi hai.

Asli samajh yeh hai: percentage padhte waqt hamesha dekho “poora kya hai” aur “koi cheez do baar to nahi gini gayi”.

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โœ๏ธ Solved Examples

Example 1 (Easy): Hawa mein lagbhag 78% nitrogen aur 21% oxygen hai. Baaki gases kitne percent hain? Aur 100 litre hawa mein oxygen kitni hogi?

Baaki gases = 100% โˆ’ 78% โˆ’ 21% = 1%

21% = har 100 litre mein 21 litre, to 100 litre hawa mein oxygen = 21 litre (lagbhag).

WHY sahi hai? Poori hawa = 100%, isliye teeno hisse milke 100 hone chahiye: 78 + 21 + 1 = 100 โœ…. Aur total hi 100 litre hai, to x% seedha x litre ban gaya.

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Example 2 (Medium): Ek school mein 150 bachchon ne Class 8 ka exam diya aur 135 pass hue. School ka pass percentage kitna hai? Fail percentage?

Pass % = 135/150 ร— 100 = 13500/150 = 90%

Fail % = 100% โˆ’ 90% = 10%

WHY? 135/150 ko simplify karo: 15 se divide โ†’ 9/10 = 90/100 = 90%. Aur fail bachche = 150 โˆ’ 135 = 15 โ†’ 15/150 ร— 100 = 10%. Dono tareekon se same jawab โœ…. Isi tarah har saal schools apna “result %” batate hain.

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Example 3 (NCERT style): 40 bachchon se unka favourite khel poocha gaya (har bachche ne sirf ek khel chuna). Cricket 18, Football 10, Badminton 8, Kabaddi 4. Har khel ka percentage nikalo.

KhelBachchePercentage
Cricket1818/40 ร— 100 = 45%
Football1010/40 ร— 100 = 25%
Badminton88/40 ร— 100 = 20%
Kabaddi44/40 ร— 100 = 10%
Kul40100%

WHY check karein? 45 + 25 + 20 + 10 = 100. Har bachche ne sirf ek khel chuna, to saare hisse milke poori class (100%) banenge โœ…. Shortcut: 40 bachche hain, to 1 bachcha = 100/40 = 2.5%. Cricket = 18 ร— 2.5 = 45%.

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Chintu ke din ka faisla: Battery 15% bachi thi, yaani 85% battery use ho chuki thi. Papa ka 90% data gaya, yaani sirf 10% data bacha. Dekha, “baaki kitna?” wala sawaal kitna kaam ka hai! ๐ŸŽ‰

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๐Ÿ  Real Life Mein Percentage

  • ๐Ÿ”‹ Mobile battery / data: “20% battery”, “80% data used”, download bar “45% complete”.
  • ๐Ÿซ School: marks %, attendance 75% rule, school ka result %.
  • ๐Ÿ‘• Kapdon ka label: “100% cotton” ya “60% cotton, 40% polyester”.
  • ๐Ÿช Khaane ke packet: “Sugar 30 g per 100 g” matlab packet ka 30% cheeni.
  • ๐Ÿ’ Sona: 22 carat sone mein 24 hisson mein se 22 hisse sona, yaani lagbhag 91.7% shuddh.
  • ๐ŸŒฆ๏ธ Mausam: “Baarish ki sambhavna 70%”.
  • ๐Ÿ—ณ๏ธ Chunav (election): “Candidate A ko 55% vote mile”.
  • ๐Ÿ›๏ธ Dukaan: “Flat 20% OFF”, aur bill mein GST (yeh hum Post 10 mein padhenge).
  • ๐Ÿฆ Bank: “7% saalana byaaj” (iski kahani Post 11 mein).

Aaj ghar jaake ek challenge lijiye: ghar mein 5 cheezein dhoondho jin pe % likha ho! ๐Ÿ•ต๏ธ

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๐Ÿงญ Kab Use Karein, Kab Nahi

โœ… Percentage use karo jabโ€ฆโŒ Sirf percentage se kaam nahi chalega jabโ€ฆ
Poore ka hissa batana ho (class ka 45% cricket fans)Asli ginti chahiye aur total pata hi nahi (“50% aaye” = 5 ya 500?)
Alag-alag size ki cheezein compare karni ho (do schools ka result)Group bahut chhota ho (2 mein se 1 = 50%, sunne mein bada, par sirf 1)
Kisi cheez mein kya-kya mila hai (hawa, kapda, sona)Ek hi cheez kai baar gini gayi ho (multiple choice survey), tab jod 100% maan ke mat chalo

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โŒโ†’โœ… Worked Mistake

Sawaal: Rohan ke school mein 40% bachche bus se aate hain. Sohan ke school mein 50% bachche bus se aate hain. Kis school mein zyada bachche bus se aate hain?

โŒ Galat: “50% bada hai 40% se, to Sohan ke school mein zyada bachche.”

Galti kya hai? Dono percentages alag-alag totals ke hain. Percentage hissa batata hai, asli ginti nahi.

โœ… Sahi: Maan lo Rohan ke school mein 1000 bachche hain aur Sohan ke school mein sirf 100. To Rohan ke school mein har 100 mein se 40, yaani 10 ร— 40 = 400 bachche bus se. Sohan ke school mein 100 mein se 50 = 50 bachche. Yahan Rohan ka school bahut aage hai!

Sahi jawab: Jab tak dono schools ke kul bachche na pata hon, keh nahi sakte. Haan, itna zaroor keh sakte hain ki Sohan ke school mein bus wale bachchon ka hissa bada hai.

Doosri common galti: “Battery 20% bachi hai, to 20% use hui.” Nahi! 20% bachi hai to use hui = 100% โˆ’ 20% = 80%. Hamesha dhyan se padho: bacha kitna, gaya kitna.

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๐Ÿ“ 10 MCQs

Q1. Phone mein 35% battery bachi hai. Kitni battery use ho chuki hai?

(a) 35%
(b) 65%
(c) 100%
(d) 135%
Solution dekho

Sahi jawab: (b)

  • (a) galat: 35% to bachi hui battery hai, use hui nahi.
  • (b) sahi: poori battery = 100%, to use hui = 100% โˆ’ 35% = 65%.
  • (c) galat: 100% use hoti to battery 0% hoti.
  • (d) galat: 100 + 35 jod diya, jabki ghatana tha.

Q2. “Hawa mein lagbhag 21% oxygen hai” ka matlab kya hai?

(a) 21 litre hawa mein 100 litre oxygen
(b) Har 100 litre hawa mein lagbhag 21 litre oxygen
(c) Hawa ka 1/21 hissa oxygen
(d) 21 litre hawa mein 1 litre oxygen
Solution dekho

Sahi jawab: (b)

  • (a) galat: ulta likh diya; hisse se poora bada hota hai, chhota nahi.
  • (b) sahi: 21% = 21/100, yaani har 100 mein se 21.
  • (c) galat: 1/21 lagbhag 4.8% hota hai, 21% nahi.
  • (d) galat: yeh bhi 1/21 hi hai.

Q3. Ek shirt ke label pe likha hai: 65% cotton, baaki polyester. Polyester kitne percent hai?

(a) 65%
(b) 45%
(c) 35%
(d) 100%
Solution dekho

Sahi jawab: (c)

  • (a) galat: yeh cotton ka hissa hai.
  • (b) galat: 100 โˆ’ 65 ka ghatav galat kiya (35 aata hai).
  • (c) sahi: poori shirt = 100%, polyester = 100% โˆ’ 65% = 35%.
  • (d) galat: poori shirt polyester nahi hai.

Q4. Ek exam mein 200 bachche baithe aur 180 pass hue. Pass percentage kitna hai?

(a) 90%
(b) 80%
(c) 18%
(d) 20%
Solution dekho

Sahi jawab: (a)

  • (a) sahi: 180/200 ร— 100 = 18000/200 = 90%.
  • (b) galat: calculation ka andaaza lagaya, check nahi kiya.
  • (c) galat: 180 ko 10 se divide kar diya, 200 ko total nahi maana.
  • (d) galat: 20 fail bachchon ko % maan liya; fail % = 20/200 ร— 100 = 10% hai.

Q5. Weather app kehta hai: “Kal baarish ki sambhavna 70%”. Iska sabse sahi matlab?

(a) Kal din ke 70% hisse mein baarish hogi
(b) Shehar ka 70% hissa bheegega
(c) Aise mausam wale har 100 dinon mein se lagbhag 70 din baarish hoti hai
(d) Kal pakka baarish hogi
Solution dekho

Sahi jawab: (c)

  • (a) galat: yeh baarish kitni der hogi, yeh nahi batata.
  • (b) galat: yeh shehar ka area nahi batata.
  • (c) sahi: sambhavna = chance. 70% = har 100 aise dinon mein se lagbhag 70 din baarish.
  • (d) galat: pakka hota to 100% likha hota. 30% chance baarish na hone ka bhi hai.

Q6. 25 bachchon mein se 10 ka favourite fruit aam hai. Aam pasand karne wale kitne percent hain?

(a) 10%
(b) 25%
(c) 40%
(d) 60%
Solution dekho

Sahi jawab: (c)

  • (a) galat: total 100 nahi, 25 hai.
  • (b) galat: total ko hi percentage maan liya.
  • (c) sahi: 10/25 ร— 100 = 1000/25 = 40%.
  • (d) galat: yeh aam pasand NA karne walon ka % hai (15/25 = 60%).

Q7. 22 carat sone mein 24 hisson mein se 22 hisse sona hota hai. Isme lagbhag kitne percent sona hai?

(a) 22%
(b) 88%
(c) 91.7%
(d) 96%
Solution dekho

Sahi jawab: (c)

  • (a) galat: total 24 hai, 100 nahi.
  • (b) galat: 22 ko 25 mein se maan liya (22/25 = 88%).
  • (c) sahi: 22/24 ร— 100 = 2200/24 = 91.666โ€ฆ โ‰ˆ 91.7%.
  • (d) galat: yeh 23/24 ke kareeb hai (95.8%), 22/24 nahi.

Q8. Biscuit packet pe likha hai: “Sugar: 30 g per 100 g”. Biscuit mein sugar kitne percent hai?

(a) 3%
(b) 30%
(c) 70%
(d) 300%
Solution dekho

Sahi jawab: (b)

  • (a) galat: 30/100 = 30%, 3% nahi.
  • (b) sahi: 100 g mein 30 g = 30/100 = 30%. “Per 100” dikha to seedha percentage!
  • (c) galat: yeh baaki cheezon ka hissa hai (100 โˆ’ 30).
  • (d) galat: ulta divide kar diya (100/30 nahi, 30/100).

Q9. Ek chunav mein kul 800 vote pade. Candidate A ko 440 vote mile. A ko kitne percent vote mile?

(a) 44%
(b) 45%
(c) 55%
(d) 60%
Solution dekho

Sahi jawab: (c)

  • (a) galat: 440 ko 10 se divide kiya, total 800 ko bhool gaye.
  • (b) galat: yeh baaki votes (360/800) ka % hai.
  • (c) sahi: 440/800 ร— 100 = 44000/800 = 55%.
  • (d) galat: andaaza hai, calculation se nahi aata.

Q10. Riya: “Mere school mein 60% bachche bus se aate hain, Aman ke school mein 40%. To mere school mein zyada bachche bus se aate hain.” Kya Riya sahi hai?

(a) Haan, hamesha sahi
(b) Nahi, hamesha galat
(c) Keh nahi sakte, jab tak dono schools ke kul bachche na pata hon
(d) Dono schools mein barabar bachche
Solution dekho

Sahi jawab: (c)

  • (a) galat: agar Aman ka school bahut bada hai, to wahan ke 40% bachche zyada ho sakte hain.
  • (b) galat: agar dono schools barabar size ke hon, to Riya sahi hogi. Isliye “hamesha galat” bhi nahi.
  • (c) sahi: percentage sirf hissa batata hai; asli ginti ke liye total chahiye.
  • (d) galat: iska koi aadhaar nahi.

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โ“ FAQs (Bachchon Ke Asli Sawaal)

1. Percentage har jagah kyun use hota hai, fraction kyun nahi?

Fractions ke denominators alag-alag hote hain (18/40, 135/150…), inhe ek nazar mein samajhna aur compare karna mushkil hai. Percentage sabko 100 ke base pe le aata hai, aur 100 hamare dimaag ke liye sabse aasaan number hai. Isliye dukaan, school, bank, news, sab percentage bolte hain.

2. Kya saare percentages milke hamesha 100% hote hain?

Sirf tab, jab poori cheez ko alag-alag, bina overlap wale hisson mein baata gaya ho (jaise hawa ki gases, ya “sirf ek khel chuno” wala survey). Agar ek bachcha do jawab de sakta hai, to wahi bachcha do baar gina jaata hai, aur jod 100% se zyada ho sakta hai.

3. “Baarish ki 70% sambhavna” ka matlab kya hai?

Matlab: aise hi mausam wale 100 dinon mein se lagbhag 70 dinon mein baarish hoti hai. Yeh pakka nahi hai, par chance zyada hai, to chhata le jaana samajhdaari hai! โ˜”

4. Dukaan pe “Upto 50% OFF” likha ho to har cheez aadhe daam pe milegi?

Nahi! “Upto” ka matlab hai zyada se zyada 50%. Kuch cheezon pe 50% off hoga, kuch pe 10% ya 20%, aur kuch pe bilkul nahi. Percentage padhte waqt uske aas-paas ke shabd bhi dhyan se padho.

5. Agar sirf percentage pata ho, total nahi, to kya kaam ka?

Hissa samajhne ke liye kaafi hai (“aadhe se zyada bachche aaye” = 50% se zyada). Par asli ginti (kitne bachche) ke liye total zaroori hai. Total se asli number nikalna hum Post 3 mein seekhenge.

6. Cricket ka strike rate bhi percentage hai kya?

Soch same hai: “har 100 balls pe kitne run” (runs รท balls ร— 100). Par yeh poore ka hissa nahi hai, isliye ise % nahi likhte, aur yeh 100 se zyada bhi aa jaata hai (jaise 150). Isse pata chalta hai ki “har 100 pe” wali soch percentage ke bahar bhi kaam aati hai.

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๐Ÿ‹๏ธ Practice Zone (12 Sawaal)

Q1. Easy Phone mein 42% battery bachi hai. Kitne percent use ho chuki hai?

Solution dekho

Poori battery = 100%. Use hui = 100% โˆ’ 42% = 58%.

Q2. Easy Ek school ke 100 bachchon mein se 37 cycle se aate hain. Kitne percent?

Solution dekho

37/100 = 37%. Total already 100 hai, to jitne bachche, utna percent.

Q3. Easy Juice ke dabbe pe likha hai: “Fruit content 20%”. Baaki cheezein (paani, cheeni aadi) kitne percent hain?

Solution dekho

Poora juice = 100%. Baaki = 100% โˆ’ 20% = 80%. Yaani har 100 ml juice mein sirf 20 ml fruit ka ras!

Q4. Easy Dahi ke packet pe likha hai: “Fat 4 g per 100 g”. Dahi mein fat kitne percent hai?

Solution dekho

100 g mein 4 g = 4/100 = 4%.

Q5. Medium Class mein 50 bachche hain, aaj 42 aaye. Aaj ki attendance kitne percent hai?

Solution dekho

42/50 ร— 100 = 4200/50 = 84%. (Shortcut: 50 ร— 2 = 100, to 42 ร— 2 = 84)

Q6. Medium School library mein 300 kitaabein hain, jinmein 90 kahaniyon ki hain. Kahaniyon ki kitaabein kitne percent hain?

Solution dekho

90/300 ร— 100 = 9000/300 = 30%. (90/300 = 3/10 = 30/100)

Q7. Medium Ek cricket team ne 20 match khele aur 15 jeete. Jeet ka percentage kitna hai? Baaki match (haar/draw) kitne percent?

Solution dekho

Jeet = 15/20 ร— 100 = 1500/20 = 75%. Baaki = 100% โˆ’ 75% = 25%. Check: 5/20 ร— 100 = 25% โœ…

Q8. Medium Mobile pack mein roz 2 GB data milta hai. Sham tak 1.5 GB use ho gaya. Kitne percent data use hua? Kitna percent bacha?

Solution dekho

Use hua = 1.5/2 ร— 100 = 150/2 = 75%. Bacha = 100% โˆ’ 75% = 25% (yaani 0.5 GB).

Q9. NCERT style 60 parivaaron se poocha gaya ki woh mainly kis saadhan se office/school jaate hain (har parivaar ka ek jawab). Scooter 27, Car 12, Cycle 15, Bus 6. Har saadhan ka percentage nikalo aur check karo.

Solution dekho

Scooter = 27/60 ร— 100 = 45%

Car = 12/60 ร— 100 = 20%

Cycle = 15/60 ร— 100 = 25%

Bus = 6/60 ร— 100 = 10%

Check: 45 + 20 + 25 + 10 = 100% โœ… (har parivaar ka ek hi jawab tha, isliye jod 100%).

Q10. NCERT style Ek dukaan mein 250 cheezein hain, jinmein se 40 sale pe hain. Kitne percent cheezein sale pe hain?

Solution dekho

40/250 ร— 100 = 4000/250 = 16%. (Shortcut: 250 ร— 4 = 1000, to 40/250 = 160/1000 = 16/100)

Q11. NCERT style Ek gaon ki aabadi 1200 hai, jismein 300 bachche hain. Bachche kitne percent hain? Baaki log kitne percent?

Solution dekho

Bachche = 300/1200 ร— 100 = 25% (300/1200 = 1/4). Baaki = 100% โˆ’ 25% = 75%.

Q12. NCERT style 18 carat sone mein 24 hisson mein se 18 hisse sona hota hai. Isme kitne percent sona hai, aur kitne percent doosri dhaatu?

Solution dekho

Sona = 18/24 ร— 100 = 75% (18/24 = 3/4). Doosri dhaatu = 100% โˆ’ 75% = 25%.

Isliye 22 carat (lagbhag 91.7%) sona 18 carat (75%) se zyada shuddh hota hai.

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๐Ÿง  HOTS (Sochne Wale Sawaal)

Q1. Ek survey mein bachchon se poocha gaya, “Aapko kaun-kaun se fruit pasand hain? (jitne chaaho chuno)”. Result: Aam 70%, Kela 45%, Seb 30%. Jod 145% aaya. Kya survey mein galti hai?

Solution dekho

Nahi, galti nahi hai.

WHY: Har bachcha ek se zyada fruit chun sakta tha. Jaise kisi bachche ne aam aur kela dono chune, to woh aam ke 70% mein bhi gina gaya aur kela ke 45% mein bhi. Ek hi bachcha do baar gina gaya, isliye jod 100% se zyada aaya. Jod 100% tabhi hota hai jab har bachcha sirf ek jawab de.

Q2. Chintu ka phone subah 100% charge tha. 4 ghante baad battery 20% reh gayi (har ghante barabar battery ghati). Har ghante kitne percent battery gayi? Isi raftaar se phone aur kitni der chalega?

Solution dekho

4 ghante mein gayi = 100% โˆ’ 20% = 80%.

Har ghante = 80% รท 4 = 20%.

Bachi 20% battery, har ghante 20% jaati hai โ†’ 1 ghanta aur.

Q3. Ek shirt ke label pe likha hai: “100% cotton, 20% polyester”. Kya yeh label sahi ho sakta hai?

Solution dekho

Nahi.

WHY: Shirt ka kapda alag-alag hisson se bana hai (koi dhaaga ek saath cotton aur polyester dono nahi ho sakta). To saare hisson ka jod 100% hona chahiye. Agar cotton hi 100% hai, to polyester ke liye jagah hi nahi bachi. 100 + 20 = 120% ek kapde ke liye namumkin hai. Label galat chhapa hai!

Q4. Ek test mein 20 sawaal hain, sab barabar marks ke. Ek sawaal kitne percent ka hai? Agar Meena ne 17 sahi kiye, to uska percentage kitna?

Solution dekho

Poora test = 100%, 20 sawaal โ†’ 1 sawaal = 100% รท 20 = 5%.

17 sahi โ†’ 17 ร— 5% = 85%. Check: 17/20 ร— 100 = 85% โœ…

sirf charumam.com pe milenge!

๐Ÿ† Olympiad Corner

Q1. Ramu roz 8 ghante sota hai. Din ka kitna percent woh sone mein bitata hai?

Solution dekho

1 din = 24 ghante. 8/24 = 1/3.

1/3 ร— 100 = 100/3 = 33.33โ€ฆ% (33 1/3%).

Olympiad trick: 1/3 = 33 1/3% yaad rakho, bahut kaam aata hai.

Q2. 1 se 50 tak ki numbers mein se kitne percent prime numbers hain?

Solution dekho

Primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 โ†’ 15 numbers.

15/50 ร— 100 = 30%.

Trap: 1 prime nahi hai, use mat gino!

Q3. “PERCENTAGE” shabd ke letters mein kitne percent vowels hain?

Solution dekho

P-E-R-C-E-N-T-A-G-E โ†’ kul 10 letters.

Vowels: E, E, A, E โ†’ 4.

4/10 ร— 100 = 40%.

Q4. Chessboard ke 64 chhote squares mein se kitne percent squares board ke kinare (border) pe hain?

Solution dekho

Board 8 ร— 8 hai. Andar ka hissa (kinara hata ke) 6 ร— 6 = 36 squares.

Kinare wale = 64 โˆ’ 36 = 28.

28/64 ร— 100 = 2800/64 = 43.75%.

Trap: 4 ร— 8 = 32 mat karo, kyunki 4 kone (corners) do baar gin jaate hain: 32 โˆ’ 4 = 28 โœ…

sirf charumam.com readers ke liye ๐Ÿ”

๐Ÿ’— CharuMam Motivation

Chintu ka phone roz subah 100% hota hai aur raat tak khaali ho jaata hai. Isliye use roz charge karna padta hai, ek din ka charge poore hafte nahi chalta.

Padhai bhi bilkul aisi hi hai. Ek din 5 ghante padh ke phir 5 din chhutti, yeh kaam nahi karta. Roz thodi-thodi mehnat, poore focus ke saath, bina phone ke. Aaj 1% behtar, kal 1% aur. Sabr rakhiye, yeh chhote-chhote percent milke ek din 100% bante hain. ๐Ÿ”‹๐ŸŒฑ

โ€” ๐Ÿ“Œ charumam.com

๐ŸŸข Master Recap

  • Percentage har jagah hai: marks, battery, kapde, khaana, sona, mausam, chunav, dukaan, bank.
  • Iske 5 bade kaam: hissa batana, mixture batana, tulna, paisa, sambhavna.
  • Har % line pe 3 sawaal: Kiska? Kitna? Baaki kitna (100% โˆ’ x%)?
  • Alag-alag hisse (bina overlap) milke hamesha 100%. Yeh ek badhiya check hai.
  • “Per 100” dikhe (30 g per 100 g) to seedha percentage (30%).
  • Percentage hissa batata hai, asli ginti nahi. Asli ginti ke liye total chahiye.

โ€” charumam.com ๐ŸŽฏ

๐Ÿ‘‰ Aage Kya?

Ab aapko pata hai percentage kahan-kahan hai aur use kaise padhte hain. Agle post mein seekhenge ki jab total pata ho, to kisi cheez ka percentage (jaise โ‚น500 ka 20%) asli number mein kaise nikalte hain.

Koi doubt? CharuMam AI Tutor se poochho, ya comment mein likho! ๐Ÿ’ฌ

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๐ŸŽ“ AI Tutor