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

231. A father decided to give his retirement amount Rs. 7,40,000 to his sons A, B , C in the proportion 1/3 : 2/ 5 : 3/6. Then what is the average amount of first two sons got from their father?

एक पिता ने अपनी सेवानिवृत्ति की राशि 7,40,000 रुपये को अपने बेटों A, B, C को 1/3: 2/5: 3/6 के समानुपात में देने का निर्णय किया। फिर पहले दो बेटों की अपने पिता से प्राप्त हुई राशि का औसत क्या है?

A. 2,20,000
B. 1,13,000
C. 3,40,000
D. 3,20,000
E. 50000

Option “A” is correct.

Given proportion = 1/3 : 2/5 : 3 /6 = 10 : 12 : 15

A ‘s share = (10/ 37 ) x 7,40,000 = Rs. 2,00,000

B’ s share = (12 / 37) x 7, 40 , 000 = Rs. 2, 40, 000

Hence average = (200000 + 240000)/ 2 = Rs. 2, 20 , 000.

232. A sum of money is to be distributed among P, Q, R and S in the proportion 3: 4: 6: 1. If R gets Rs.4000 more than Q, what is P’s share?

एक धनराशि को P, Q, R और S के बीच 3: 4: 6: 1. के बीच वितरित की जानी है, यदि R को Q से Rs.4000 अधिक मिलता है, तो P का हिस्सा क्या है?

A. Rs.1000
B. Rs.2000
C. Rs.4000
D. Rs.6000
E. None of these

Option “D” is correct.

R gets Rs.4000 more than Q which is equal to 2 units.

1 unit = 2000

P’s share = 3 units = 3 * 2000 = Rs.6000

233. Ratio of the total population of cities L and M is 6:5 and the ratio of the literate population of cities L and M is 5:4. If the illiterate population of city L is 8/15th of the total illiterate population of cities L and M together is 75, then find the total population of city L?

शहरों L और M की कुल जनसंख्या का अनुपात 6:5 है और शहरों L और M की साक्षर जनसंख्या का अनुपात 5:4 है। यदि शहर L की निरक्षर जनसंख्या शहरों L और M की कुल निरक्षर जनसंख्या का 8/15 है, जो कि 75 है, तो शहर L की कुल जनसंख्या ज्ञात कीजिए?

a) 84
b) 72
c) 66
d) 90
e) None of these

Option “D” is correct.

The total population of city L = 6x

The total population of city M = 5x

The literate population of city L = 5y

The literate population of city M = 4y

The illiterate population of city L = 75 * 8/15 = 40

The illiterate population of city M = 75 – 40 = 35

6x – 5y = 40 — (1)

5x – 4y = 35 — (2)

(2) * 5 – (1) * 4

25x – 20y = 175

-24x + 20y = 160

x = 15

The total population of city L = 6 * 15 = 90

234. Ratio of the number of employees in TCS, CTS and HCL is 9:7:10. The sum of the employees of TCS and CTS is 1600 less than the double of the number of employees in HCL. What is the difference between the number of employees in TCS and HCL?

टीसीएस, सीटीएस और एचसीएल में कर्मचारियों की संख्या का अनुपात 9: 7: 10 है। टीसीएस और सीटीएस के कर्मचारियों का योग, एचसीएल में कर्मचारियों की संख्या के दोगुने से 1600 कम है। टीसीएस और एचसीएल में कर्मचारियों की संख्या के बीच में क्या अंतर है?

A. 200
B. 400
C. 500
D. 300
E. 600

Option “B” is correct.

2 * 10x – (9x + 7x) = 1600

20x – 16x = 1600

x = 400

Required difference = 400 * (10 – 9) = 400 * 1 = 400

235. If Rs.36300 were divided among Mala, Kala and Bala so that the ratio of Mala and Kala is 5:4 and the ratio of Kala and Bala is 9:10, then what amount will Bala get?

अगर माला, काला और बाला के बीच 36300 रुपये इस तरह से बांटे गए कि माला और काला का अनुपात 5 : 4 है और काला और बाला का अनुपात 9 : 10 है, तो बाला को कितनी राशि मिलेगी ?

A. Rs.12000
B. Rs.15000
C. Rs.18000
D. Rs.20000
E. None of these

Option “A” is correct.

Mala, Kala and Bala = (5 * 9): (4 * 9):(10 * 4)

= 45:36:40

Bala’s Share = 40/121 * 36300

= 12000

236. An amount of Rs.2430 was divided between A, B and C. If each of them had received Rs.100 less, their shares would have been in the ratio of 3: 4: 5. Find the money received by C.

2430 रूपये की राशि A, B और C के बीच विभाजित की गई थी। यदि उनमें से प्रत्येक को 100 रूपये कम मिलते है, तो उनके हिस्से 3: 4: 5 के अनुपात में होते । C को प्राप्त राशि कितनी है?

A. Rs.850
B. Rs.950
C. Rs.987.5
D. Rs.876.6
E. None of these

Option “C” is correct.

3x + 100 + 4x + 100 + 5x + 100 = 2430

=> x = Rs.177.5

Money received by C = 5x + 100 = Rs.987.5

237. Vishnu distributes Rs.36000 amount to his three daughters Anu, Bharathi and Chitra in the ratio of 3: 4: 5. Bharathi shared her amount with her husband David. If Bharathi gives 60% of amount to her husband, then what is the average amount of Anu and David?

विष्णु 36000 रुपये की राशि को अपनी तीनों बेटियों अनु, भारती और चित्रा को 3: 4: 5 के अनुपात में वितरित करता है। भारती अपने पति डेविड के साथ अपनी राशि को साझा करती है। यदि भारती अपने पति को 60% राशि देती है, तो अनु और डेविड की औसत राशि क्या है?

A. Rs.8800
B. Rs.8500
C. Rs.8300
D. Rs.8100
E. Rs.8000

Option “D” is correct.

Anu = 3/12 * 36000 = 9000

Bharathi = 4/12 * 36000 = 12000

Chitra = 5/12 * 36000 = 15000

David = 60/100 * 12000 = 7200

Average = (9000 + 7200)/2 = Rs.8100

238. The ratio of the number of male population in villages A and B is 10:9 and the ratio of the number of male to 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 और B में पुरुष जनसंख्या की संख्या का अनुपात 10:9 है और A में पुरुष से महिला जनसंख्या की संख्या का अनुपात 4:5 है। यदि B में महिला जनसंख्या की संख्या A में महिला जनसंख्या की संख्या से 1100 अधिक है और A और B में पुरुष जनसंख्या की संख्या 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

239. 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 or 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

240. If the ratio of the number of balls from box A and B is 3: 2 and the ratio of the number of red balls from A and B is 4: 5. If the boxes have two different color balls red and yellow and the difference between the number of balls from A and B is 10, then what is the ratio of the number of yellow balls from A to B?

यदि बॉक्स A और B से गेंदों की संख्या का अनुपात 3: 2 है तथा A और B से लाल गेंदों की संख्या का अनुपात 4: 5 है। यदि बॉक्स में दो विभिन्न रंग की लाल और पीली गेंदें हैं तथा A और B से गेंदों की संख्या के बीच में 10 का अंतर है, तो A और B से पीली गेंदों की संख्या का अनुपात क्या है?

A. 3:4
B. 3:2
C. 4:3
D. Cannot be determined
E. None of these

Option “D” is correct.

3x – 2x = 10

x = 10

Number of balls from A = 3 * 10 = 30

Number of balls from B = 2 * 10 = 20

We cannot find the answer.