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

Step 1: Find the individual shares of A and B.
Total parts \( = 4 + 7 = 11\).
One part \( = \dfrac{73689}{11} = 6699\).
Share of A \( = 4 \times 6699 = 26796\).
Share of B \( = 7 \times 6699 = 46893\).

Step 2: Compute thrice A's share and twice B's share.
Thrice A's share \( = 3 \times 26796 = 80388\).
Twice B's share \( = 2 \times 46893 = 93786\).

Step 3: Find the difference between the two values.
Difference \( = |80388 - 93786| = 13398\).

Final Answer:
The required difference is Rs 13,398, so option D is correct. \[ \boxed{Rs. \ 13398} \]