Lagnever AI English

Pratishat (percentage) kya hai?

Short mein jawab

Pratishat yaani percentage aisa fraction hai jiska denominator 100 ho: 25% matlab har 100 mein se 25, yaani 25/100 = 1/4 = 0.25. Fraction ko percentage banane ke liye use 100 se guna karo, jaise 3/5 = 60%. Kisi maatra z ka y% nikaalne ke liye y/100 × z karo.

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Per cent ka matlab kya hai?

% nishaan ko ‘per cent’ padhte hain, jo Latin ke per centum se aaya hai, matlab ‘har sau par’. To 25% matlab har 100 mein se 25, chaahe hum log gin rahe hon, rupaye ya marks. Isliye percentage bas ek fraction hai jiska denominator 100 hai. Jaise 20% = 20/100 = 1/5, aur kisi maatra s ka 50% yaani 50/100 × s, jo s ka aadha hai.

Per cent matlab 100 mein se: 100 mein se 25 khaane bhare hain, to 25% = 25/100 = 1/4 = 0.25
Per cent matlab 100 mein se

Fraction se percentage

Surya laal aur peela rang milaate hain, aur mishran ka 3/4 hissa laal hai. Laal kitne percent hai? Ek tareeka hai barabar fractions banaate jaana jab tak denominator 100 na ho jaaye: 3/4 = 15/20 = 75/100, to laal 75% hai aur peela baaki 25%. Jaldi wala tareeka hai fraction ko 100 se guna karna: 3/4 × 100 = 75. Ye isliye chalta hai kyunki fraction ek poore ka hissa batata hai, aur percentage 100 ka hissa. Isi tarah 3/5 = 60%, 9/20 = 45% aur 1/3 = 33⅓%. Ulta jaana ho to percentage ko 100 ke upar likho: 24% = 24/100 = 6/25.

3/4 ko percentage banana: bar model, barabar fractions aur 100 se guna
3/4 ko percentage banana

Percentage ki zaroorat kyon?

Ek biscuit factory do nayi variety banaati hai: pehli mein cheeni 9/34 hai aur doosri mein 13/45. Zyada meethi kaun si hai? Ek nazar mein kehna mushkil hai. Inhe 26.47% aur lagbhag 28.89% likho to jawab saaf hai: doosri. Jab sab kuch 100 mein se ho, tulna aasaan ho jaati hai. Is idea ka itihaas lamba hai: 4th century BCE ke Kautilya ke Arthashastra mein ‘har mahine per cent’ ke hisaab se interest ki darein di gayi hain, aur 15th century ke Italian vyapaari 20% ko ‘xx p cento’ likhte the.

FDP trio

Har percentage ka ek fraction aur ek decimal hota hai jiska matlab wahi ho: 50% = 1/2 = 0.5, 25% = 1/4 = 0.25, 10% = 1/10 = 0.1, 1% = 1/100 = 0.01 aur 43% = 43/100 = 0.43. Trio ka koi bhi sadasya kaam kar deta hai. 24 ka 50% nikaalna ho to 1/2 se guna karo ya 0.5 se: dono 12 dete hain. 75 ka 80% nikaalna ho to 4/5 × 75 ya 0.8 × 75 karo; dono 60 dete hain, jo 75 marks ke test mein A grade ke liye kam se kam marks hain jab cut-off 80% ho.

FDP trio ki table: milte-julte fractions, decimals aur percentages, 120% aur 250% samet
FDP trio

Mann mein kisi maatra ka percentage

Aam taur par z ka y% = y/100 × z. Kuch tricks se zyaadatar hisaab mann mein ho jaata hai. 10% ke liye 10 se bhaag do. Uska aadha 5% hai, double 20%, aur sankhya ki chauthaai 25%. Inhe jodkar baaki banao: 15% = 10% + 5%, 40% = 2 × 20%, 75% = 50% + 25%, 90% = 100% − 10%, aur 55% = 50% + 5%. To 80 ka 15% = 8 + 4 = 12, aur 200 ka 75% = 100 + 50 = 150. Pehle andaaza lagao: 2/9 20% aur 25% ke beech hai, isliye 22.22% ka jawab sahi lagta hai.

Hisse se poora nikaalna

Kabhi hissa pata hota hai aur poora nahi. Ek cyclist raaste ka 40% yaani 92 km tay kar chuke hain. Aadha karo to 20% = 46 km, isliye baaki 60% = 138 km. Ya 40/100 = 92/d likho, jisse poora safar d = 230 km aata hai. Percentage 100 se zyada bhi ho sakta hai: agar Kishanlal ka target ₹5000 hai aur bikri ₹7800 hoti hai, to target ka 156% poora hua. Poora chapter Chapter 1 ke notes mein hai, aur har exercise NCERT solutions mein. Agla topic hai pratishat vriddhi aur kami.

Practice karo

  1. 9/20 kitne percent hai?

    1. (a) 9%
    2. (b) 20%
    3. (c) 45%
    4. (d) 92%
    Jawab dekho

    Jawab: (c) 45%

  2. 43% kis decimal ke barabar hai?

    1. (a) 43
    2. (b) 4.3
    3. (c) 0.43
    4. (d) 0.043
    Jawab dekho

    Jawab: (c) 0.43

  3. 160 ka 20% kitna hai?

    1. (a) 16
    2. (b) 20
    3. (c) 32
    4. (d) 80
    Jawab dekho

    Jawab: (c) 32

  4. Nandini ke 25 kanchon mein se 15 safed hain. Ye unke kanchon ka kitne percent hai?

    Jawab dekho

    Jawab: 15/25 × 100 = 60, yaani 60% kanche safed hain. Check: 15/25 = 3/5, aur 3/5 = 60/100.

  5. 40 kis sankhya ka 80% hai?

    Jawab dekho

    Jawab: Agar n ka 80% = 40, to n ka 10% = 5, aur n ka 100% = 50. Check: 80/100 × 50 = 40.

Students ke sawal

Percentage 100 mein se hi kyon lete hain?

Koi bhi denominator chal sakta tha, par 100 hamare das par tike number system mein fit baithta hai: 31% seedha 0.31 hai, isliye fraction, decimal aur percentage ke beech badalna jaldi hota hai. 100 ek gol sankhya bhi hai jise samajhna aasaan hai, aur itni badi hai ki baarik farq dikha sake.

Percentage ko fraction mein kaise badlein?

Sankhya ko 100 ke upar likho aur simplify karo. Jaise 24% = 24/100 = 6/25, aur 120% = 120/100 = 6/5. 24/100 ke barabar koi bhi fraction, jaise 12/50 ya 48/200, bhi 24% hi hai.

Kya percentage 100 se zyada ho sakta hai?

Haan. 100 se zyada percentage ka matlab hai poore se zyada. Agar dukaan ka target ₹5000 hai aur ₹6000 ki bikri hoti hai, to target ka 120% poora hua, yaani target ka 1.2 guna ya usse 20% zyada.

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