Multiple choice

A certain amount was divided between Sneha and Sumit in the ratio $3:2$. If Sumit's share was Rs. $3200$, then the total amount is __________?

  1. Rs. $6000$
  2. Rs. $8000$
  3. Rs. $9000$
  4. None of these

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

Ratio Sneha:Sumit = 3:2. Sumit's share = 3200, so 2 parts = 3200, 1 part = 1600. Total parts = 3+2 = 5. Total amount = 5 * 1600 = 8000.

AI explanation

Let the common ratio be x, so Sneha and Sumit's shares are 3x and 2x. Since Sumit's share is Rs. 3200, we solve 2x = 3200 to find x = 1600. The total amount is the sum of the shares, which is 3x + 2x = 5x. Multiplying this by the common ratio gives 5 * 1600 = 8000. The total amount is Rs. 8000.