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

191. The box contains the coins of 10p, 25p and 50p are in the ratio of 1: 2: 1. If there is Rs. 22 in all, then find the total number of 50p coins?

बॉक्स में 10p, 25p और 50p के सिक्के 1: 2: 1. के अनुपात में हैं। यदि कुल 22 रुपये है, तो 50p के सिक्कों की कुल संख्या को ज्ञात कीजिये?

A. 15
B. 20
C. 15
D. 10
E. None of these

Option “B” is correct.

The box contains the coins of 10p, 25p and 50p are in the ratio = 1: 2: 1

22 = (10*x/100) + (25*2x)/100 + (50*x)/100

2200 = 10x + 50x + 50x

2200 = 110x

x = 2200/110 = 20

The total number of 50p coins = x = 20

192. Rs.270 contained in a box consists of Rs.1, Rs.50 paise and Rs.25 paise coins in the ratio 2: 3: 4. What is the number of 25 paise coins?

एक बॉक्स में 270 रुपये होते हैं, जिसमें 1 रुपये, 50 पैसे और 25 पैसे के सिक्के 2: 3: 4 अनुपात में होते हैं। 25 पैसे के सिक्कों की संख्या क्या है?

A. 120
B. 180
C. 240
D. 260
E. None of these

Option “C” is correct.

Ratio of the values of coins = 2: 3/2: 4/4 = 4: 3: 2

Sum = 4 + 3 + 2 = 9

Value of 25 paise coins = 2/9 * 270 = Rs.60

Number of 25 paise coins = 60 * 4 = Rs.240

193. A bag contains Rs. 2 coins, 50 paise coins and Rs. 1 coins in the ratio of 8 : 6 : 5 respectively. If the total value of money in the bag is Rs. 408, then find the total number of coins in the bag?

एक बैग में क्रमशः 8: 6: 5 के अनुपात में 2 रूपये सिक्के, 50 पैसे के सिक्के और 1 रूपये सिक्के शामिल हैं। यदि बैग में पैसे का कुल मूल्य 408 रुपये है, तो बैग में सिक्कों की कुल संख्या ज्ञात कीजिये?

A. 312
B. 323
C. 345
D. 308
E. None of these

Option “B” is correct.

Let the number of coins of Rs. 2 = 8x

And the number of coins of 50 paise = 6x

And the number of coins of Rs. 1 = 5x

So, value of Rs. 2 coins = 8x × 2 = 16x

And the value of 50 paise coins = 6x × 0.50 = 3x

And the value of Rs. 1 coins = 5x × 1 = Rs. 5x

So, according to the question,

= 16x + 3x + 5x = 408

= 24x = 408

= x = 17

This, the total number of coins is = (8x + 6x + 5x)

= 19x = 19 × 17 => 323

194. A bag contains 10 paisa, 25 paisa, 50 paisa coins in the ratio of 5:2:1 respectively. If the total money in the bag is Rs.240. Find the number of 25 paisa coins in the bag?

एक थैले में क्रमश: 5:2:1 के अनुपात में 10 पैसे, 25 पैसे, 50 पैसे के सिक्के हैं। यदि थैले में कुल धन 240 रु. है। थैले में 25 पैसे के सिक्कों की संख्या ज्ञात कीजिए?

A. 320
B. 160
C. 80
D. 310
E. None of these

Option “A” is correct.

10*5 : 25*2 : 50*1 = 50:50:50 = 1:1:1

240/3 = 80

 In Rs.1 = four 25 paisa coins

Rs.80 = 4*80= 320 coins

195. 152 coins consist of 1 rupee, 50 paisa and 25 paisa coins and their value being in the ratio of 5:3:2 respectively. Find the number of 50 paisa coins?

152 सिक्कों में 1 रुपये, 50 पैसे और 25 पैसे के सिक्के शामिल हैं और उनका मूल्य क्रमशः 5: 3: 2 के अनुपात में है। 50 पैसे के सिक्कों की संख्या ज्ञात कीजिये?

A. 20
B. 32
C. 36
D. 48
E. 60

Option “D” is correct.

Number of one rupee coins = 1 * 5x = 5x

Number of 50 paisa coins = 100/50 * 3x = 6x

Number of 25 paisa coins = 100/25 * 2x = 8x

5x + 6x + 8x = 152

x = 8

Number of 50 paisa coins = 8 * 6 = 48

196. A box contains the coins of 20p, 50p and 1 rupee is in the ratio of 5: 6: 8. If there is Rs. 24 in all, then find the total number of 50p coins?

एक बॉक्स में 20 पैसे, 50 पैसे और 1 रुपये के सिक्के 5: 6: 8 के अनुपात में होते हैं। यदि बॉक्स में 24 रुपये हैं, तो कुल 50 पैसे के सिक्कों की संख्या ज्ञात करें?

A. 10
B. 24
C. 12
D. 18
E. None of these

Option “C” is correct.

A box contains the coins of 20p, 50p and 1 rupee is in the ratio = 5: 6: 8 (5x, 6x, 8x)

24 = [(5x * 20) / 100] + [(6x * 50) / 100] + [(8x * 1)]

24 = (100x/100) + (300x/100) + 8x

24 = x + 3x + 8x

24 = 12x

x = 2

The total number of 50p coins = 6x = 12

197. 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. 30
B. 50
C. 40
D. 60
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

198. A bag contains 20 paise, 50 paise and 1 rupee coins. The ratio of the number of 20 paise and 50 paise coins in the bag is 4:3 and the ratio of the number of 50 paise and 1 rupee coins in the bag is 1:2. If the total amount in the bag is Rs.166, then find the number of 50 paise coins in the bag?

एक बैग में 20 पैसे, 50 पैसे और 1 रुपये के सिक्के हैं। बैग में 20 पैसे और 50 पैसे के सिक्कों की संख्या का अनुपात 4:3 है और बैग में 50 पैसे और 1 रुपये के सिक्कों की संख्या का अनुपात 1:2 है। यदि बैग में कुल राशि 166 रुपये है, तो बैग में 50 पैसे के सिक्कों की संख्या ज्ञात कीजिए?

A. 120
B. 180
C. 240
D. 260
E. None of these

Option “D” is correct.

The number of 20 paise coins in the bag = 4x

The number of 50 paise coins in the bag = 3x

The number of 1 rupee coins in the bag = 3x * 2/1 = 6x

4x * 20 + 3x * 50 + 6x * 100 = 166 * 100

830x = 16600

x = 20

The number of 50 paise coins in the bag = 3 * 20 = 60

199. 270 rupees in a box consists of Rs.1, Rs.50 paise and Rs.25 paise coins in the ratio 2: 3: 4. What is the number of 25 paise coins?

एक बॉक्स में 270 रुपये होते हैं, जिसमें 1 रुपये, 50 पैसे और 25 पैसे के सिक्के 2: 3: 4 के अनुपात में होते हैं। 25 पैसे के सिक्कों की संख्या क्या है?

A. 10
B. 24
C. 12
D. 18
E. None of these

Option “C” is correct.

Ratio of the values of coins = 2: 3/2: 4/4 = 4: 3: 2

Sum = 4 + 3 + 2 = 9

Value of 25 paise coins = 2/9 * 270 = Rs.60

Number of 25 paise coins = 60 * 4 = Rs.240

200. A box contains the coins of 20 paise, 50 paise and 1 rupee is in the ratio of 5: 6: 8. If there is totally Rs. 24, then find the total number of 50 paise coins?

एक बॉक्स में 20 पैसे, 50 पैसे और 1 रुपये के सिक्के 5: 6: 8 के अनुपात में होते हैं। यदि बॉक्स में 24 रुपये हैं, तो कुल 50 पैसे के सिक्कों की संख्या ज्ञात करें?

A. 312
B. 323
C. 345
D. 308
E. None of these

Option “C” is correct.

A box contains the coins of 20p, 50p and 1 rupee is in the ratio = 5: 6: 8 (5x, 6x, 8x)

24 = [(5x * 20) / 100] + [(6x * 50) / 100] + [(8x * 1)]

24 = (100x/100) + (300x/100) + 8x

24 = x + 3x + 8x

24 = 12x

x = 2

The total number of 50p coins = 6x = 12