Question

A sum of Rs.107.25 is made up of rupee, half-rupees
and quarter-rupees and the numbers of coins are in
the proportion of 5:6:7. What is the total number of
coins ?​

Answer 1

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore the number of rupee, half rupee and quarter rupee are 5x, 6x and 7x respectively.

Hence,

5x + 6x + 7x = 107.25

18x = 107.25

$x =\frac{107.25}{18}\\</p><p>x = 5.958$

Thus,

$5x =5\times 5.958\\= 29.79\\</p><p>6x =6\times 5.958\\= 35.748\\</p><p>7x =7\times 5.958\\= 41.706$

41.706= 42