Question

A box contains Rs. 180 of one ‐ rupee, 50 ‐ paise and 25 ‐ paise coins in the proportion of 2 : 3 : 4. How many 50 ‐ paise coins does it contain?
1. 150
2. 180
3. 120
4. 240

Answer 1

Correct Answer - Option 3 : 120

Given:

Rs.180 contained in a box consists of one rupee , 50 paise and 25 paise coins in the ratio of 2:3:4.

Calculation :

Let the number of coins = x

So, the number of Rs. 1 coins = 2x

Number of 50 paise coins = 3x 

Number of 25 paise coins = 4x 

According to  question,

1(2x) + 1/2(3x) + 1/4(4x) = 180

2x + 3(x)/2 + x  = 180 

3x + 3(x)/2 =180

6 + 3(x)/2 = 180 

9(x)/2 = 180 

x = 180 × 2 / 9 

x = 40  

The number of 50 paise coins are 3x = 3(40) = 120 

∴ The number of 50 paise coins are 120.