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

161. The ratio of the boys to girls in the class is 4:3. If 30 boys and 24 girls left the class, then the ratio of boys to girls becomes 3:2, then find the number of girls in the class?

कक्षा में लड़कों से लड़कियों का अनुपात 4: 3 है। यदि 30 लड़के और 24 लड़कियाँ कक्षा छोड़ देते हैं, तो लड़कों से लड़कियों का अनुपात 3: 2 हो जाता है, फिर कक्षा में लड़कियों की संख्या ज्ञात कीजिए?

A. 21
B. 24
C. 30
D. 36
E. None of these

Option “D” is correct.

4x – 30/3x – 24 = 3/2

9x – 72 = 8x – 60

x = 12

Number of girls = 3 * 12= 36

162. The ratio of boys and girls in a school is 4: 5. If 20% of boys and 30% of girls like Tamil, then find the ratio of boys and girls who did not like Tamil?

एक स्कूल में लड़के और लड़कियों का अनुपात 4: 5 है। यदि 20% लड़के और 30% लड़कियां तमिल को पसंद करती हैं, तो तमिल को पसंद नहीं करने वाले लड़कों और लड़कियों का अनुपात ज्ञात कीजिए?

A. 32: 35
B. 35: 32
C. 1: 1
D. 4: 3
E. None of these

Option “A” is correct.

Boys: Girls = 4: 5

Unlike Tamil = 4 * 80/100 : 5 * 70/100

= 32: 35

163. Ratio of the total number of boys to girls in the college is 3:2 and the ratio of the total number of girls to boys passed the exam in the college is 3:4. If the total number of girls passed the exam in the college is 360 and the difference between the number of boys and girls in the college is 300, what is ratio the number of boys to girls failed the exam?

कॉलेज में लड़कों से लड़कियों की कुल संख्या का अनुपात 3: 2 है और कॉलेज में परीक्षा में उत्तीर्ण हुई लड़कियों से लड़कों की कुल संख्या का अनुपात 3: 4 है। यदि कॉलेज में परीक्षा में उत्तीर्ण हुई लड़कियों की कुल संख्या 360 है और कॉलेज में लड़कों और लड़कियों की संख्या के बीच का अंतर 300 है, तो परीक्षा में अनुत्तीर्ण हुए लड़कों से लड़कियों की संख्या का अनुपात क्या है?

A. 7:4
B. 6:5
C. 4:3
D. 8:5
E. None of these

Option “A” is correct.

Number of boys passed the exam = 360 * 4/3 = 480

Number of girls passed the exam = 360

Number of girls in the college = 300 * 2/1 = 600

Number of boys in the college = 300 * 3/1 = 900

Required ratio = (900 – 480):(600 – 360)

= 420:240

= 7:4

164. 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

165. The ratio of men and women in an office was 3 : 4. When 20 women resigned, the ratio of men and women becomes equal. In what ratio, 160 men and women should have joined the office before resigning of the women to make the number of women 50% less than that of men?

एक कार्यालय में पुरुषों और महिलाओं का अनुपात 3: 4 था। जब 20 महिलाओं ने इस्तीफा दिया, तो पुरुषों और महिलाओं का अनुपात बराबर हो गया। महिलाओं की संख्या पुरुषों की तुलना में 50% कम करने के लिए महिलाओं के इस्तीफा देने से पहले 160 पुरुषों और महिलाओं को किस अनुपात में कार्यालय में शामिल होना चाहिए था?

A. 1 : 3
B. 3 : 7
C. 3 : 2
D. 7 : 1
E. None of these

Option “D” is correct.

Let number of men be 3x and number of women be 4x

When 20 women resigned,

3x / (4x – 20) = 1/1

x = 20

New ratio is 2 : 1

60 + a / 80 + b = 2 / 1

a – 2 b = 100 —> (1)

a + b = 160 —> (2)

a = 140;  b = 20

Required ratio = 140 : 20 =>7 : 1

166. Punit divided Rs. 4977 among his employees of 6 men, 9 women and 10 boys such that the share of a man, a woman and a boy are in the ratio of 7 : 6 : 3 respectively. Then Find the share of a man is how much more or less than the share of a woman?

पुनीत ने रु4977 6 पुरुषों, 9 महिलाओं और 10 लड़कों के अपने कर्मचारियों के बीच विभाजित करता है ताकि एक पुरुष, एक महिला और एक लड़के का हिस्सा क्रमशः 7: 6: 3 के अनुपात में है। फिर एक पुरुष का हिस्सा एक महिला के हिस्से से कितना अधिक या कम है?

A. Rs. 176.5
B. Rs. 44.4
C. Rs. 125.6
D. Rs. 39.5
E. None of these

Option “D” is correct.

Punit divided among employees = Rs. 4977

The ratio of shares of group of men, women and boys are,

= (6 × 7) : (9 × 6) : (10 × 3)

= 42 : 54 : 30

= 7 : 9 : 5

Now, the share of 6 men = 4977 × 7/21 = Rs. 1659

So, the share of a man = 1659/6 = Rs. 276.5

And the share of 9 women = 4977 × 9/21 = Rs. 2133

So, the share of a woman = 2133/9 = Rs. 237

Thus, the required difference is = 276.5 – 237 = Rs. 39.5

167. The ratio of the male population in villages A to B is 10:9 and the ratio of the male to the female population in A is 4:5. If the number of female population in B is 1100 more than the number of female population in A and the difference between the number of male population in A and B is 200, then find the number of female population in B?

गाँव A से B में पुरुष जनसंख्या का अनुपात 10:9 है और A में पुरुष से महिला जनसंख्या का अनुपात 4:5 है। यदि B में महिला जनसंख्या A में महिला जनसंख्या से 1100 अधिक है और A और B में पुरुष जनसंख्या के बीच का अंतर 200 है, तो B में महिला जनसंख्या की संख्या ज्ञात कीजिये?

A. 3200
B. 3600
C. 3400
D. 3500
E. 3300

Option “B” is correct.

Number of male population in A = 10/1 * 200 = 2000

Number of female population in A = 5/4 * 2000 = 2500

Number of female population in B = 2500 + 1100 = 3600

168. Ratio of the number of male and female employees in a company is 5:3. If the number of male and female employees in the company is increased by 18 and 9 respectively and the ratio of the number of males and females becomes 7:4, then find the total number of employees in the company initially?

एक कंपनी में पुरुष और महिला कर्मचारियों की संख्या का अनुपात 5:3 है। यदि कंपनी में पुरुष और महिला कर्मचारियों की संख्या में क्रमशः 18 और 9 की वृद्धि की जाती है और पुरुषों और महिलाओं की संख्या का अनुपात 7:4 हो जाता है, तो शुरू में कंपनी में कर्मचारियों की कुल संख्या ज्ञात कीजिए?

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

Option “A” is correct.

Let the number of male employees in the company = 5x

And the number of female employees in the company = 3x

(5x + 18)/(3x + 9) = 7/4

20x + 72 = 21x + 63

x = 9

The total number of employees in the company = (5 + 3) * 9 = 72

169. Ratio of the number of boys and girls in school A is 12:5 and the number of boys and girls in school B is 25% less and 20% more than that of school A. Find the ratio of the number of boys and girls in school B?

स्कूल A में लड़कों और लड़कियों की संख्या का अनुपात 12:5 है और स्कूल B में लड़कों और लड़कियों की संख्या स्कूल A से 25% कम और 20% अधिक है। स्कूल B में लड़कों और लड़कियों की संख्या का अनुपात ज्ञात कीजिए ?

A. 3:2
B. 5:7
C. 6:1
D. 9:8
E. None of these

Option “A” is correct.

The number of boys in school A = 12x

The number of girls in school A = 5x

The number of boys in school B = 12x * 75/100 = 9x

The number of girls in school B = 5x * 120/100 = 6x

Required ratio = 9x:6x = 3:2

170. The average of the boys and girls in the class is 45 and the ratio of the boys to girls in the class is 5: 4. If 10 boys left from the class and 16 girls joined the class, then now what is the ratio of the number of boys to girls in the class?

कक्षा में लड़कों और लड़कियों का औसत 45 है और कक्षा में लड़कों से लड़कियों का अनुपात 5: 4 है। यदि 10 लड़कों ने कक्षा छोड़ दी और 16 लड़कियां कक्षा में शामिल हो गईं, फिर कक्षा में लड़कों से लड़कियों का अनुपात क्या है?

A. 2: 3: 4: 6: 3
B. 2: 3: 4: 6: 12
C. 1: 3: 6: 9: 12
D. 2: 3: 6: 8: 12
E. None of these

Option “A” is correct.

Total students in the class = 45 * 2 = 90

Number of boys = 5/9 * 90 = 50

Number of girls = 4/9 * 90 = 40

Current number of boys in the class = 50 – 10 = 40

Girls = 40 + 16 = 56

Required ratio = 40: 56 = 5: 7