Question

Rs.73,689/- are divided between A and B in the ratio 4 : 7. What is the difference between thrice the share of A and twice the share of B?

• A. Rs. 36,699
• B. Rs. 46,893
• C. Rs. 20,097
• D. Rs. 13,398

Hint:

Simplify 3A minus 2B in terms of one ratio part before substituting numbers.

Answer 1

The Correct Option is D

Instead of computing A's and B's rupee shares first and then combining them, the expression can be simplified algebraically before any big multiplication is done.

Let one part of the ratio be worth $y$ rupees, so A's share is $4y$ and B's share is $7y$, where $y = \dfrac{73689}{11} = 6699$.

The required quantity is $3(4y) - 2(7y) = 12y - 14y = -2y$.

Taking the magnitude, the difference is $2y = 2 \times 6699 = 13398$.

This confirms the difference between thrice A's share and twice B's share is Rs 13,398, so option D is correct.

\[\boxed{Rs. \ 13398}\]