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

241. The salary of A and B is in the ratio of 8: 5. If the salary of A is decreased by 20 % and the salary of B is increased by 40 %, then the new ratio becomes 64: 65. Find the salary of A?

A और B का वेतन 8:5 के अनुपात में है। यदि A के वेतन में 20% की कमी की जाती है और B के वेतन में 40% की वृद्धि की जाती है, तो नया अनुपात 64:65 हो जाता है। A का वेतन ज्ञात कीजिए?

A. Rs. 40000
B. Rs. 24000
C. Can’t be determined
D. Rs. 16000
E. None of these

Option “C” is correct.

The salary of A and B is in the ratio of = 8 : 5 (8x, 5x)

[8x * (80/100)] / [5x * (140/100)] = (64/65)

We can’t determine the salary of A.

242. The ratio of the number of students in school A, B and C is 3:5:7. Every year the number of students in school A, B and C is increased by 20%, 30% and 25% respectively. What is the ratio of the students in A, B and C in after 2 years?

स्कूल A, B और C में छात्रों की संख्या का अनुपात 3: 5: 7 है। हर वर्ष स्कूल A, B और C में छात्रों की संख्या में क्रमशः 20%, 30% और 25% की वृद्धि हुई है। 2 वर्षों के बाद A, B और C में छात्रों की संख्या का अनुपात क्या है?

A. 1728:3380:4375
B. 1678:2990:4311
C. 1290:3199:3889
D. 1465:2890:4111
E. None of these

Option “A” is correct.

Required ratio=3 * 120/100 * 120/100 : 5 * 130/100 * 130/100 : 7* 125/100 * 125/100

=1728 : 3380 : 4375

243. The monthly salary of Kathir and Mani is in the ratio of 5 : 7. If the salary of Kathir and Mani is increased by Rs. 10000 and Rs. 7000 respectively, the new ratio becomes 5 : 6. Find the monthly salary of Kathir?

काथिर और मणि का मासिक वेतन 5: 7 के अनुपात में है। यदि काथिर और मणि के वेतन में क्रमशः 10000 और 7000 रुपये की वृद्धि की गयी है, तो नया अनुपात 5: 6 हो जाता है। काथिर का मासिक वेतन ज्ञात कीजिये?

A. Rs. 25000
B. Rs. 32000
C. Rs. 35000
D. Rs. 28000
E. None of these

Option “A” is correct.

The monthly salary of Kathir and Mani is in the ratio = 5 : 7 (5x, 7x)

[5x + 10000] / [7x + 7000] = (5/6)

[x + 2000] / [x + 1000] = (5/6) * (7/5)

[x + 2000] / [x + 1000] = (7/6)

6x + 12000 = 7x + 7000

x = 5000

The monthly salary of Kathir = 5x = Rs. 25000

244. Ratio of the number of boys to the total number of students in the class is 13:24 and the number of girls in the class is 44. If the total number of students in the class is increased by 25% while the number of boys increases by 25%, then find the increased number of girls in the class?

कक्षा में लड़कों की संख्या से छात्रों की कुल संख्या का अनुपात 13:24 है और कक्षा में लड़कियों की संख्या 44 है। यदि कक्षा में छात्रों की कुल संख्या में 25% की वृद्धि की जाती है जबकि लड़कों की संख्या में 25% की वृद्धि होती है, तो कक्षा में लड़कियों की बढ़ी हुई संख्या ज्ञात कीजिए?

A. 55
B. 45
C. 50
D. 40
E. 60

Option “A” is correct.

Number of boys = 13/(24 – 13) * 44 = 52

Total number of students = 24/11 * 44 = 96

After increase total number of students = 96 * 125/100 = 120

After increase number of boys = 52 * 125/100 = 65

Number of girls = 120 – 65 = 55

245. Ratio of income to expenditure of Ram in May was 12:7. If in June, his savings is increased by 40% with respect to May then find the ratio of income to expenditure of Ram in June such that his income remains same.

May में Ram की आय और व्यय का अनुपात 12:7 था। यदि June में उसकी बचत में May की तुलना में 40% की वृद्धि होती है, तो June में Ram की आय और व्यय का अनुपात ज्ञात कीजिए जहाँ उसकी आय समान रहती है।

A. 12:7
B. 12:5
C. 8:5
D. 10:7
E. 16:13

Option “B” is correct.

Let, income and expenditure of Ram in May be Rs. ‘12x’ and Rs. ‘7x’ respectively.

Savings of Ram in May = 12x – 7x = Rs. 5x

Savings of Ram in June = 5x × 1.4 = Rs. 7x

Expenditure of Ram in June = 12x – 7x = Rs. 5x

Desired ratio = 12x:5x = 12:5

246. The number of students in 3 classes is in the ratio 6:7:8. If 15 students are increased in each class this ratio changes to 9:10:11. The total number of students in the three classes in the beginning was

3 कक्षाओं में छात्रों की संख्या अनुपात में 6: 7: 8 में है। यदि प्रत्येक कक्षा में 15 छात्र अधिक हो तो यह अनुपात 9:10:11 में बदल जाता है। शुरुआत में तीनो कक्षाओं में छात्रों की कुल संख्या क्या थी?

A. 90
B. 112
C. 105
D. 75
E. None of these

Option “C” is correct.

Let the number of students in the classes be 6x, 7x and 8x respectively;

Total students = 6x+7x+8x = 21x.

Then (6x+15)/(7x+15)=9/10

60x+150=63x+135

X=5

Total students =21*5=105.

247. Two numbers are in the ratio of (2 (2/3): 3 ½). If each of the number is increased by 5, then the ratio becomes 17: 22. Find the smallest number?

दो संख्याएँ (2 (2/3): 3 ½) के अनुपात में हैं। यदि प्रत्येक संख्या में 5 से वृद्धि की गई है, फिर अनुपात 17: 22 हो जाता है। सबसे छोटी संख्या को ज्ञात कीजिये?

A. 100
B. 80
C. 90
D. 120
E. None of these

Option “B” is correct.

Two numbers are in the ratio = (2 (2/3): 3 (½))

= > (8/3: 7/2) = 16: 21 (16x, 21x)

Given,

(16x + 5)/(21x + 5) = (17/22)

352x + 110 = 357x + 85

5x = 25

x = 5

The smallest number = 16x = 80

248. Ratio of the number of boys to girls in the class is 6:5. If the number of boys and girls increased by 40% and 60% respectively, what is the final ratio of the boys to girls in the class?

कक्षा में लड़कियों के लिए लड़कों की संख्या का अनुपात 6: 5 है। यदि लड़के और लड़कियों की संख्या में क्रमशः 40% और 60% की वृद्धि हुई, तो कक्षा में लड़कों और लड़कियों का अंतिम अनुपात क्या है?

A. 19:18
B. 20:19
C. 21:20
D. 22:21
E. None of these

Option “C” is correct.

Required ratio = 6 * 140/100 : 5 * 160/100

=21 : 20

249. The ratio of male and female in a company is 5: 3. If 40 females left the company, then the ratio becomes 25: 13. Find the total number of males in the company

एक कंपनी में पुरुष और महिला का अनुपात 5: 3 है। यदि 40 महिलाओं ने कंपनी को छोड़ दिया है, तो अनुपात 25: 13 हो जाता है। कंपनी में पुरुषों की कुल संख्या को ज्ञात कीजिए?

A. 250
B. 750
C. 500
D. 900
E. None of these

Option “C” is correct.

According to the question,

[5x/(3x – 40)] = 25/13

13x = 15x – 200

2x = 200

x = 100

The total number of males in the company = 5x = 500

250. The number of students in 3 classes is in the ratio 6:7:8. If 15 students are increased in each class then the ratio becomes 9:10:11. The total number of students in the three classes in the beginning was?

3 कक्षाओं में छात्रों की संख्या 6:7:8 के अनुपात में है। यदि प्रत्येक कक्षा में 15 छात्र बढ़ा दिए जाते हैं तो अनुपात 9:10:11 हो जाता है। शुरुआत में तीन कक्षाओं में छात्रों की कुल संख्या ____ थी?

A. 90
B. 112
C. 105
D. 75
E. None of these

Option “C” is correct.

Let the number of students in the classes be 6x, 7x and 8x respectively;

Total students = 6x+7x+8x = 21x.

Then (6x+15)/(7x+15)=9/10

60x+150=63x+135

X=5

Total students =21*5=105.