Question

A box contains ₹ 56 in the form of coins of one rupee, 50 paise, and 25 paise. The number of 50 paisa coins is double the number of 25 paisa coins and four times the number of one rupee coins. The number of 50 paisa coin in the box is

Options

• 14

• 16

• 32

• 64

Answer 1

64

Explanation:

Let 50 paisa coin be = x

25 paisa coin `= "x"/2`

1 rupee coin `="x"/4`

According to question

`(1/2)("x")+1/4("x"/2)+1("x"/4)=56`

`(4"x"+"x"+2"x")/8=56`

7x = 56 × 8

`"x"=(56xx8)/7=64`