Multiple choice

Ashwini, Deepika and Reshma started a business after investing some money. Ashwini received (\frac{1}{10}) of the profit and remaining is divided between Deepika and Reshma in the ratio of 1.25 : 1. If the difference between the shares of Reshma and Ashwini is Rs. 8340, what is Deepika share?

  1. Rs. 11120

  2. Rs. 27800

  3. Rs. 13900

  4. Rs. 14600

  5. Rs. 14800

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

Let total profit = P. Ashwini gets P/10. Remaining profit = 9P/10, divided between Deepika and Reshma in ratio 1.25:1 = 5:4. Deepika gets (5/9)×(9P/10) = P/2, Reshma gets (4/9)×(9P/10) = 2P/5. Difference: 2P/5 - P/10 = 8340, so 4P/10 - P/10 = 8340, 3P/10 = 8340, P = 27800. Deepika's share = 27800/2 = 13900.