Question

A certain amount of 1 rupee, 50 paisa and 25 paise coins make up Rs. 93.75. The number of coins of each denomination is in the ratio 3 : 4 : 5 respectively. The number of coins of each denomination respectively are:

• A. 40, 70, 75
• B. 46, 58, 75
• C. 42, 56, 70
• D. 45, 60, 75

Answer 1

The correct option is D

45, 60, 75

Given that the number of coins of denomination 1 rupee, 50 paisa and 25 paisa are in the ratio 3:4:5:-

Let the number of coins of these denominations be 3x, 4x and 5x respectively.

Value of each one rupee coin = Re. 1

Value of each 50 paisa coin = Rs. 0.5

Value of each 25 paisa coin = Rs. 0.25

$\therefore$ Total money = $3x\times 1+4x\times 0.5+5x\times 0.25$

$=3x+2x+1.25x$

$=6.25x$

The total amount is Rs. 93.75

$\Rightarrow 6.25x=93.75$

$\Rightarrow x=\frac{93.75}{6.25}$

$\Rightarrow x=15$

Thus, $3x=3\times 15=45$
$4x=4\times 15=60$
$5x=5\times 15=75$

The number of coins of 1 rupee, 50 paisa and 25 paisa are 45, 60 and 75 respectively.