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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Our goal? To dispel any confusion and arm our readers with the clarity and knowledge needed to tackle ratio and proportion questions head-on. As we delve deeper into this article, you’ll discover an array of solved examples, and a revisit of previous year ratio and proportion questions, to fortify your understanding.

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260+ Most Asked Ratio And Proportion Questions

221. Total number of students in the class is 40 and the ratio of the number of boys to girls in the class is 3:2. Each of them likes Maths and Physics. 25% of the girls like Maths and 30% of total students like Maths in the class. Find the number of boys like Maths?

कक्षा में कुल छात्रों की संख्या 40 है और कक्षा में लड़कों और लड़कियों की संख्या का अनुपात 3: 2 है। उनमें से प्रत्येक गणित और भौतिकी पसंद करता है। 25% लड़कियों को गणित और 30% कुल छात्रों को गणित पसंद हैं। गणित पसंद करने वाले लड़कों की संख्या ज्ञात कीजिये?

A. 12
B. 15
C. 10
D. 6
E. None of these

Option “E” is correct.

Number of girls = 2/5 * 40 = 16

Number of students like Maths = 30/100 * 40 = 12

Number of girls like Maths = 25/100 * 16 = 4

Number of boys like Maths = 12 – 4 = 8

222. Rs.1920 was to divided among four friends namely A, B, C and D. Ratio of the amount received by A and B together to the amount received by C is 7:4 and D received 25% more than that of C. Find the amount received by B, if A received Rs.30 less than that of C.

1920 रुपये को चार दोस्तों A, B, C और D में बांटा जाना था। एकसाथ A और B द्वारा प्राप्त राशि से C द्वारा प्राप्त राशि का अनुपात 7:4 है और D को C से 25% अधिक प्राप्त होता है। B द्वारा प्राप्त राशि ज्ञात कीजिए, यदि A को C से 30 रुपये कम मिले।

A. Rs.390
B. Rs.450
C. Rs.480
D. Rs.540
E. None of these

Option “A” is correct.

Amount received by A and B together = 7x

Amount received by C = 4x

Amount received by D = 4x * 125/100 = 5x

7x + 4x + 5x = 1920

16x = 1920

x = 120

Amount received by A and B together = 7 * 120 = Rs.840

Amount received by C = 4 * 120 = Rs.480

Amount received by A = 480 – 30 = Rs.450

Amount received by B = 840 – 450 = Rs.390

223. The total number of balls in box A is 20% more than that of box B and the ratio of the total number of balls in box A to box C is 4:9. If 50 balls are added to box B and 15 balls are added to box C, then the ratio of the total number of balls in box B to box C becomes 2:3. Find the total number of balls in box A?

बॉक्स A में गेंदों की कुल संख्या, बॉक्स B से 20% अधिक है और बॉक्स A से बॉक्स C में गेंदों की कुल संख्या का अनुपात 4:9 है। यदि बॉक्स B में 50 गेंदें जोड़ी जाती हैं और बॉक्स C में 15 गेंदें जोड़ी जाती हैं, तो बॉक्स B से बॉक्स C में गेंदों की कुल संख्या का अनुपात 2:3 हो जाता है। बॉक्स A में गेंदों की कुल संख्या ज्ञात कीजिए?

A. 45
B. 85
C. 72
D. 60
E. None of these

Option “D” is correct.

The total number of balls in box B = 5x

And the total number of balls in box A = 5x * 120/100 = 6x

And the total number of balls in box C = 6x * 9/4 = 27x/2

(5x + 50)/(27x/2 + 15) = 2/3

15x + 150 = 27x + 30

12x = 120

x = 10

The total number of balls in box A = 6 * 10 = 60

224. The ratio of the total number of students in school A to B is 15:8 and the ratio of the total number of students in school C to A is 4:3. If the sum of the 75% of the total number of students in school B and 40% of the total number of students in school C together is 70, then find the total number of students in school A?

स्कूल A से B में छात्रों की कुल संख्या का अनुपात 15:8 है और स्कूल C से A में छात्रों की कुल संख्या का अनुपात 4:3 है। यदि एकसाथ स्कूल B में छात्रों की कुल संख्या के 75% और स्कूल C में छात्रों की कुल संख्या के 40% का योग 70 है, तो स्कूल A में छात्रों की कुल संख्या ज्ञात कीजिए?

A. 40
B. 75
C. 60
D. 100
E. None of these

Option “B” is correct.

Let the total number of students in school A = 15x

And the total number of students in school B = 8x

And the total number of students in school C = 15x*4/3 = 20x

8x*75/100+20x*40/100 = 70

6x+8x = 70

14x = 70

x = 5

The total number of students in school A = 15*5 = 75

225. The ratio of the number of Orange and apple in the box is 7:4. If 20% of the orange and 25% of the apple are taken out, then now find the ratio of the orange and apple in the box?

बॉक्स में संतरे और सेब की संख्या का अनुपात 7: 4 है। यदि संतरे का 20% और सेब का 25% बाहर निकाल लिया जाता है, तो अब बॉक्स में संतरे और सेब की संख्या का अनुपात क्या हैं ?

A. 2:1
B. 5:3
C. 4:3
D. 1:2
E. None of these

Option “E” is correct.

Required ratio = 7 * 80/100:4 * 75/100

= 28:15

226. The ratio of the number of Boys to Girls who participated in a dance competition is 4:5. 45% of the girls got selected. If the number of girls who are not selected is 176. Then find the total number of students who participated in the competition?

एक नृत्य प्रतियोगिता में भाग लेने वाले लड़कों से लड़कियों की संख्या का अनुपात 4:5 है। 45% लड़कियों का चयन हुआ है। यदि चयनित नहीं होने वाली लड़कियों की संख्या 176 है। तो प्रतियोगिता में भाग लेने वाले छात्रों की कुल संख्या ज्ञात कीजिए।

A. 523
B. 546
C. 576
D. 584
E. 592

Option “C” is correct.

Ratio of the number of Boys to Girls = 4:5

Number of Girls who are not selected = 5x* 55%= 176

11x/4 = 176

x = 176* 4/11 = 64

Total number of boys and girls = 9x

= 9 * 64 = 576

227. The number of male employees in a company is 60% more than the number of female employees. If the number of female employees is increased by 40% and the number of male employees is decreased by 25%, then find the ratio of the number of male to female employees in the company?

किसी कंपनी में पुरुष कर्मचारियों की संख्या, महिला कर्मचारियों की संख्या से 60% अधिक है। यदि महिला कर्मचारियों की संख्या में 40% की वृद्धि हुई है और पुरुष कर्मचारियों की संख्या में 25% की कमी आई है, तो कंपनी में पुरुष से महिला कर्मचारियों की संख्या का अनुपात ज्ञात करें?

A. 3:4
B. 5:6
C. 5:4
D. 6:7
E. 8:9

Option “D” is correct.

Initial number of female employees = 100x

Number of male employee = 100x * 160/100 = 160x

Required ratio = 160x * 75/100:100x * 140/100

= 6:7

228. The ratio of the male to female employees in the company is 3: 2. If the male employee of the company is increased by 20% and the female employees of the company is increased by 40% and then the difference between number of male and female employees in the company is 12. What is the total employee in the company initially?

कंपनी में पुरुष से महिला कर्मचारियों का अनुपात 3: 2 है। यदि कंपनी के पुरुष कर्मचारियों में 20% से वृद्धि हुई है और कंपनी की महिला कर्मचारियों में 40% से वृद्धि हुई है और फिर कंपनी में पुरुष और महिला कर्मचारियों की संख्या के बीच का अंतर 12 है। प्रारंभ में कंपनी में कुल कर्मचारी कितने है?

A. 60
B. 65
C. 70
D. 75
E. None of these

Option “D” is correct.

Male to female = (3x * 120/100): (2x * 140/100)

= 9: 7

2x = 12

x = 6

3x * 120/100 = 9 * 6

3x = 45

x = 15

Total employees = 5 * 15 = 75

229. The number of male employees in a company is 60% more than the number of female employees in the company. If the number of female employees is increased by 40% and the number of male employees is decreased by 25%, then find the ratio of the number of male to female employees in the company?

किसी कंपनी में पुरुष कर्मचारियों की संख्या, उस कंपनी में महिला कर्मचारियों की संख्या से 60% अधिक है। यदि महिला कर्मचारियों की संख्या में 40% की वृद्धि हुई है और पुरुष कर्मचारियों की संख्या में 25% की कमी आई है, तो कंपनी में पुरुष से महिला कर्मचारियों की संख्या का अनुपात ज्ञात करें?

A. 250
B. 300
C. 350
D. 450
E. None of these

Option “D” is correct.

Initial number of female employees = 100x

Number of male employee = 100x * 160/100 = 160x

Required ratio = 160x * 75/100:100x * 140/100

= 6:7

230. The salaries of P, Q and R are in the ratio 5: 4: 3. If the increments of 5%, 15% and 25% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

P, Q और R का वेतन 5: 4: 3 के अनुपात में है। यदि उनके वेतन में क्रमशः 5%, 15% और 25% की वृद्धि की स्वीकृति दी गई है, तो उनके वेतन का नया अनुपात क्या होगा?

A. 72
B. 40
C. 56
D. 62
E. None of these

Option “B” is correct.

Ratio = 5: 4: 3

Let the salaries be 500, 400 and 300.

New ratio = (105/100 * 500): (115/100 * 400): (125/100 * 300)

= 525: 460: 375

= 105: 92: 75