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### Question 1

A bag contains 25p, 10p and 5p coins in the ratio 11 : 2 : 8. How many 25 paise coins are there if the total amount is Rs. 67?

**A**

220.

**B**

222.

**C**

218.

**D**

224.

**Soln.**

**Ans: a**

Let the total number of coins be 11x, 2x and 8x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(11/4 + 2/10 + 8/20)$ = 67. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(11 × 5 + 2 × 2 + 8)$ = 67 × 20, which is x × $(55 + 4 + 8)$ = 67 × 20, solving for x we get x = 20, so 25p coins = 20 × 11 = 220.

### Question 2

A sum of Rs. 9900 is to be divided among three partners, P, Q and R, in the ratio 6 : 2 : 3. How much does Q get?

### Question 3

The ratio of shares of three friends in Rs. 1200 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

### Question 4

What is x, if 42 : x :: 3 : 2?

### Question 5

A bag contains 25p, 10p and 5p coins in the ratio 6 : 9 : 11. How many 25 paise coins are there if the total amount is Rs. 59?

**A**

120.

**B**

122.

**C**

118.

**D**

124.

**Soln.**

**Ans: a**

Let the total number of coins be 6x, 9x and 11x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(6/4 + 9/10 + 11/20)$ = 59. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(6 × 5 + 9 × 2 + 11)$ = 59 × 20, which is x × $(30 + 18 + 11)$ = 59 × 20, solving for x we get x = 20, so 25p coins = 20 × 6 = 120.

This Blog Post/Article "Ratio and Proportion Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.