Multiple choice

An amount of Rs. 8400 is to be distributed among A and B in the ratio 5 : 7. What will be the difference between the 3 times the share of A and 2 times the share of B?

  1. Rs. 550

  2. Rs. 700

  3. Rs. 1400

  4. Rs. 920

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total parts = 5+7 = 12. Share of A = (5/12) * 8400 = 3500. Share of B = (7/12) * 8400 = 4900. 3 * A = 10500. 2 * B = 9800. Difference = 10500 - 9800 = 700.

AI explanation

The total parts in the ratio are 5 + 7 = 12, making A's share 5/12 of 8400, which is Rs. 3500, and B's share 7/12 of 8400, which is Rs. 4900. Using the given values, 3 times A's share is 3 * 3500 = 10500, and 2 times B's share is 2 * 4900 = 9800. The difference between these two amounts is 10500 - 9800 = 700. The required difference is Rs. 700.