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

131. A, B and C invested in the ratio of 4: 3: 6 and the shares of A, B and C is in the ratio of 16: 15: 12. Then find the ratio of period they invested for?

A, B और C ने 4: 3: 6 के अनुपात में निवेश किया है और A, B और C के हिस्से 16: 15: 12 के अनुपात में हैं और तो उनके द्वारा निवेश की गई अवधि का अनुपात ज्ञात करें?

A. 5: 3: 1
B. 4: 5: 2
C. 6: 4: 3
D. 7: 5: 3
E. None of these

Option “B” is correct.

The ratio of investment of A, B and C = 4: 3: 6

The ratio of shares of A, B and C = 16: 15: 12

Investment ratio * Period ratio = Ratio of Profit

Period ratio = Ratio of Profit/Investment ratio

According to the question,

= > (16/4) : (15/3) : (12/6)

= > 4 : 5 : 2

132. 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

133. Ratio of the income of Vivek and Vinesh is 5: 3 and the ratio of the expenditure of Vivek and Vinesh is 3: 2. If the savings of Vivek and Vinesh is Rs.3200 and Rs.1800 respectively, then what is the difference between the income Vivek and Vinesh?

विवेक और विनेश की आय का अनुपात 5: 3 है तथा विवेक और विनेश के व्यय का अनुपात 3: 2 है। यदि विवेक और विनेश की बचत क्रमशः 3200 रुपये और 1800 रुपये है, तो विवेक और विनेश की आय के बीच में क्या अंतर है?

A. Rs.500
B. Rs.1000
C. Rs.1500
D. Rs.2000
E. None of these

Option “D” is correct.

(5x – 3200)/(3x – 1800) = 3/2

9x – 5400 = 10x – 6400

x = 1000

Difference of income = 5x – 3x = 2x = 2 * 1000 = Rs.2000

134. If the ratio of the total number of balls in box A and B is 5: 4 and the ratio of the number of good and damaged balls in box A is 2: 3 and the good balls in box B is 24, then what is the sum of the damaged balls in box A and B?

यदि बॉक्स A और B में गेंदों की कुल संख्या का अनुपात 5: 4 है और बॉक्स A में अच्छी और क्षतिग्रस्त गेंदों की संख्या का अनुपात 2: 3 है और बॉक्स B में अच्छी गेंदों की कुल संख्या 24 है, तो बॉक्स A और B में क्षतिग्रस्त गेंदों का योग क्या है?

A. 12
B. 15
C. 18
D. Cannot be determined
E. None of these

Option “D” is correct.
Since we don’t know the number of damaged balls in box B, we cannot find the required answer.

135. 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.

136. A bag contains Rs.2, Rs.5 and Rs.10 coins in the ratio of 7:5:6 and the total amount of the coins in the bag is Rs.297. Find the value of Rs.5 coins.

एक बैग में 2 रुपये, 5 रुपये और 10 रुपये के सिक्के 7:5:6 के अनुपात में हैं और बैग में सिक्कों की कुल राशि 297 रुपये है। 5 रुपये के सिक्कों का मूल्य ज्ञात कीजिए।

a) Rs.50
b) Rs.75
c) Rs.125
d) Rs.40
e) None of these

Option “B” is correct.

7x * 2 + 5x * 5 + 6x * 10 = 297

14x + 25x + 60x = 297

99x = 297

x = 3

Value of Rs.5 coins = 5 * 3 * 5 = Rs.75

137. The ratio of the income of Rani and Kavi is 5:7 and the ratio of the expenditure of Rani and Kavi is 3:4. Find the savings of Kavi, if the income of Rani is Rs.7500 and the savings of Rani is Rs.4500.

रानी और कवि की आय का अनुपात 5:7 है और रानी और कवि के व्यय का अनुपात 3:4 है। कवि की बचत ज्ञात कीजिए, यदि रानी की आय 7500 रुपये है और रानी की बचत 4500 रुपये है।

a) Rs.5000
b) Rs.7500
c) Rs.5600
d) Rs.6500
e) None of these

Option “D” is correct.

Income of Rani = Rs.7500

Income of Kavi = 7500 * 7/5 = Rs.10500

Expenditure of Rani = 7500 – 4500 = Rs.3000

Expenditure of Kavi = 3000 * 4/3 = Rs.4000

Savings of Kavi = 10500 – 4000 = Rs.6500

138. M bought different varieties of fruits (Apple, Orange, Pine apple) and the ratio of total number of Apple and Orange bought is 10:7 and the ratio of total number of Orange and Pine apple bought is 7:8. If the difference between the number of Apple and Pine apple bought is 20, then find the total number of fruits bought by M.

M ने विभिन्न प्रकार के फल (सेब, संतरा, अनानास) खरीदे, और खरीदे गए सेब और संतरे की कुल संख्या का अनुपात 10:7 है और खरीदे गए संतरे और अनानास की कुल संख्या का अनुपात 7:8 है। यदि खरीदे गए सेब और अनानास की संख्या के बीच का अंतर 20 है, तो M द्वारा खरीदे गए फलों की कुल संख्या ज्ञात कीजिए।

a) 250
b) 300
c) 350
d) 450
e) None of these

Option “A” is correct.

Ratio of Apple, Orange and Pine apples bought by M = 10:7:8

10x – 8x = 20

2x = 20

x = 10

Total number of fruits bought by M = (10 + 7 + 8) * 10 = 250

139. Total number of employees in a company is 750 and the ratio of the number of employees in HR and Marketing is 12:7 and the number of employees in Animation department is 275. Find the difference between the number of employees in HR and Animation department, if the company has only these three departments.

एक कंपनी में कर्मचारियों की कुल संख्या 750 है और एचआर और विपणन विभाग में कर्मचारियों की संख्या का अनुपात 12:7 है और एनिमेशन विभाग में कर्मचारियों की संख्या 275 है। एचआर और एनिमेशन विभाग में कर्मचारियों की संख्या के बीच का अंतर ज्ञात कीजिए, यदि कंपनी के पास केवल ये तीन विभाग हैं।

a) 50
b) 35
c) 25
d) 75
e) None of these

Option “C” is correct.

Number of employees in Animation department = 275

Number of employees in HR and Marketing department together = 750 – 275 = 475

Number of employees in HR department = 475 * 12/19 = 300

Required difference = 300 – 275 = 25

140. The ratio of the numerator and denominator of a number is 5:6, if the numerator is increased by 20% and the denominator is increased by 9, then the ratio becomes 10:13. Find the value of numerator.

किसी संख्या के अंश और हर का अनुपात 5:6 है, यदि अंश में 20% की वृद्धि और हर में 9 की वृद्धि की जाए, तो अनुपात 10:13 हो जाता है। अंश का मान ज्ञात कीजिए।

a) 25
b) 45
c) 56
d) 85
e) None of these

Option “A” is correct.

Numerator = 5x

Denominator = 6x

(5x * 120/100)/(6x + 9) = 10/13

78x = 60x + 90

x = 5

Numerator = 5 * 5 = 25