260+ Most Asked Ratio And Proportion Questions [100% Free ]

Navigating the landscape of mathematics, one often comes across the fundamental concepts of “ratio and proportion questions“. Grasping the understanding of these is crucial, as ratio and proportion are woven deeply into the fabric of our daily activities, from intricate business dealings to the simplicity of preparing a home-cooked meal. When you see fractions presented in the form ‘a:b’, you’re observing a ratio. Conversely, when two such ratios equate, they form a proportion. And these concepts aren’t just restricted to math; they find resonance in science too.

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260+ Most Asked Ratio And Proportion Questions

201. 40% of the employees’s age in the company is below 60 and the ratio of the number of employee’s age being above 60 to exactly 60 is 3:4. If the number of employees’s age being exactly 60 is 360, then find the total number of employees in the company?

कंपनी में 40% कर्मचारियों की आयु, 60 से कम है और 60 से ऊपर से ठीक 60 की आयु की कर्मचारियों की संख्या का अनुपात 3:4 है। यदि जिन कर्मचारियों की आयु ठीक 60 है उनकी संख्या 360 है, तो कंपनी में कर्मचारियों की कुल संख्या ज्ञात कीजिए?

A. 1050
B. 1080
C. 1090
D. 1040
E. 1060

Option “A” is correct.

Number of employees’s age being exactly 60 = 360

Number of employees’s age being above 60 = 360 * 3/4 = 270

Total number of employees = 100/60 * (360 + 270) = 1050

202. Ratio of the ages of A and B is 5:3. Sum of the ages of A and B before 5 years is 30 years. Then find the ratio of age of A to C after 5 years, if C is 3 years older than B?

A और B की आयु का अनुपात 5:3 है। 5 वर्ष पहले A और B की आयु का योग 30 वर्ष है। तो 5 वर्ष बाद A से C की आयु का अनुपात ज्ञात कीजिये, यदि C, B से 3 वर्ष बड़ा है?

A. 30:23
B. 22:29
C. 37:22
D. 38:23
E. None of these

Option “A” is correct.

According to the question,

Let the ages of A and B is 5x and 3x.

So, 5x-5+3x-5=30

Or, 8x=40, x=5

Age of B is 3*5=15, age of C is 15+3=18

Age of A is 5*5=25

So, required ratio = [25+5] : [18+5]=30:23

203. The difference between the ages of Ram and Raj after 8 years is 5 years. If 10 years ago, the ratio of the age of Ram to Arun is 3:2 and After 5 years, the ratio of Ram and Raj is 9:8, then find the present age of Arun.

8 वर्ष बाद राम और राज की आयु के बीच का अंतर 5 वर्ष है। यदि 10 वर्ष पहले, राम से अरुण की आयु का अनुपात 3:2 है और 5 वर्ष बाद, राम और राज का अनुपात 9:8 है, तो अरुण की वर्तमान आयु ज्ञात कीजिए।

A. 30 years
B. 35 years
C. 25 years
D. 20 years
E. None of these

Option “A” is correct.

Let Arun’s age = x

Ram’s present age = 9 * 5 – 5 = 40 years

(40 – 10)/(x -10) = 3/2

3x – 30 = 60

x = 30

204. 15 students in a class and the ratio of the boys to girls in the class is 1: 2. The average age of the class is 24 years, average age of the boys is 16 years and the average age of the girls is x years. Find the value of x?

एक कक्षा में 15 छात्र हैं और कक्षा में लड़कों से लड़कियों का अनुपात 1:2 है। कक्षा की औसत आयु 24 वर्ष है, लड़कों की औसत आयु 16 वर्ष है और लड़कियों की औसत आयु x वर्ष है। x का मान ज्ञात करें?

A. 28
B. 26
C. 24
D. 20
E. None of these

Option “A” is correct.

Boys = 1/3 * 15 = 5

Girls = 2/3 * 15 = 10

Total age of the class = 15 * 24 = 360 years

Total age of the boys = 5 * 16 = 80 years

Total age of the girls = 10 * x = 10x

360 = 80 + 10x

280 = 10x

x = 28 years

205. Ratio of the weight of Aarav and Kiaan is 4:5 and the weight of Bhavin is 9 kg more than that of Kiaan. If the average weight of Aarav and Bhavin is 45 kg, then find the weight of Kiaan?

आरव और कियान के वजन का अनुपात 4:5 है और भाविन का वजन कियान के वजन से 9 किलो अधिक है। यदि आरव और भाविन का औसत वजन 45 किग्रा है, तो कियान का वजन ज्ञात कीजिये?

A. 65 kg
B. 25 kg
C. 45 kg
D. 75 kg
E. None of these

Option “C” is correct.

Aarav=4x

Kiaan=5x

Bhavin=5x+9

4x+5x+9=45*2

9x=81

x=9 kg

Kiaan=5*9=45 kg

206. Ratio of weight of A to B is 8:5 respectively. If the weight of A and B is increased by 16 kg and 15 kg and the ratio of the weight of A to B becomes 16:11. Find the ratio of the weight of A to B, when the weight of A is decreased by 14 kg.

A से B के भार का अनुपात क्रमशः 8:5 है। यदि A और B के भार में 16 किग्रा और 15 किग्रा की वृद्धि की जाती है और A से B के भार का अनुपात 16:11 हो जाता है। A से B के भार का अनुपात ज्ञात कीजिए, जब A के भार में 14 किग्रा की कमी की जाती है।

A. 5:4
B. 3:2
C. 7:6
D. 4:3
E. None of these

Option “A” is correct.

Let the weight of A=8x

And the weight of B=5x

(8x+16)/(5x+15)=16/11

88x+176=80x+240

8x=64

x=8

Weight of A=8*8=64

Weight of B=5*8=40

Required ratio=(64-14): 40=50:40=5:4

207. Ratio of weight of Arun and Varun is 9:11 respectively. If the difference between the weight of Arun and Tharun is 15 kg and the weight of Tharun is 5 kg more than that of Varun, then find the weight of Arun?

अरुण और वरुण के वजन का अनुपात क्रमशः 9:11 है। यदि अरुण और थारुन के वजन का अंतर 15 किग्रा है और थारुन का वजन, वरुण के वजन से 5 किग्रा अधिक है, तो अरुण का वजन ज्ञात कीजिये?

A. 27 kg
B. 36 kg
C. 54 kg
D. 45 kg
E. None of these

Option “D” is correct.

Let the weight of Arun=9x

And the weight of Varun=11x

The weight of Tharun=11x+5

11x+5-9x=15

2x=10

x=5

The weight of Arun=9*5=45 kg

208. If the total weight of 6 Apple and 9 Orange is 180 kg and the total weight of 7 Apple and 5 Orange is 144 kg, then find the weight of 3 Orange?

यदि 6 सेब और 9 संतरे का कुल वजन 180 किग्रा है और 7 सेब और 5 संतरे का कुल वजन 144 किग्रा है, तो 3 संतरे का वजन ज्ञात करें?

A. 36 kg
B. 42 kg
C. 45 kg
D. 33 kg
E. None of these

Option “A” is correct.

6A + 9O = 180

2A + 3O = 60 —-(1)

7A + 5O = 144 —-(2)

21O – 10O = 132

O = 12

Weight of three oranges = 12 * 3 = 36 kg

209. The ratio of milk to water in a solution is 2: 1. After adding 15 litres of water to the solution, then the ratio of milk to water interchanges. Then how much milk does the solution contain initially?

एक घोल में दूध और पानी का अनुपात 2: 1 है। घोल में 15 लीटर पानी मिलाने के बाद दूध और पानी का अनुपात आपस में बदल जाता है। घोल में शुरू में कितना दूध होता है ?

A. 15 litres
B. 10 litres
C. 13 litres
D. 16 litres
E. None of these

Option “B” is correct.

The ratio of milk to water in a solution = 2: 1(2x, x)

According to the question,

2x / (x+ 15) = (1/2)

x + 15 = 4x

3x = 15

x = 5

Initially, Milk = 2x = 10 litres

210. The ratio of weight of A, B, C and D is 7: 11: 6: 4. If their average weight is 84 kg, find the sum of weight of A and C.

A, B, C और D के वजन का अनुपात 7: 11: 6: 4 है। यदि उनका औसत वजन 84 किलो है तो A और C के वजन का योग ज्ञात कीजिए।

A. 105 kg
B. 77 kg
C. 91 kg
D. 119 kg
E. None of these

Option “E” is correct.

The ratio of weight = 7: 11: 6: 4 (7x, 11x, 6x, 4x)

Average weight = 84 kg

=>(7x + 11x + 6x + 4x)/4 = 84

=>28x/4 = 84

=>x = 12

Required sum = (7 * 12) + (6 * 12) = 156 kg