Question

A sum of money is divided between two persons
in the ratio of 4: 7. If the share of one person is
Rs. 12 less than that of the other, find the sum.
a) Rs. 44
b) Rs. 36
c) Rs. 40
d) 42​

Answer 1

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, money divided will be 4x and 7x.

According to the given information:

4x = 7x - 12

4x - 7x = - 12

-3x = - 12

$x =\frac{-12}{-3}\\</p><p>x = 4\\</p><p>\therefore 4x = 4\times 4 = 16\\</p><p>\& 7x = 7\times 4 = 28\\</p><p>$

So,

Total money = 4x + 7x = 16 +28 = ₹44.