Ramesh and Sahil were given some money and the ratio of the money was 3:8.…

2023

Ramesh and Sahil were given some money and the ratio of the money was 3:8. There father gives each of them Rs 10/- and which makes their money in the ratio 2:5. Calculate and find who has the smaller money?

  1. A.

    60, Ramesh

  2. B.

    52, Sahil

  3. C.

    90, Ramesh

  4. D.

    10, Sahil

Attempted by 70 students.

Show answer & explanation

Correct answer: C

Solution:

  1. Let Ramesh have 3x and Sahil have 8x.

  2. After giving Rs 10 each, their amounts become 3x + 10 and 8x + 10, and the new ratio is 2:5.

  3. Set up the equation: (3x + 10)/(8x + 10) = 2/5. Cross-multiply: 5(3x + 10) = 2(8x + 10).

  4. Simplify: 15x + 50 = 16x + 20 ⇒ 30 = x.

  5. Therefore Ramesh = 3×30 = 90 and Sahil = 8×30 = 240. The smaller amount is Ramesh with Rs 90.

  6. Check: (90 + 10) : (240 + 10) = 100 : 250 = 2 : 5, which matches the given condition.

Explore the full course: Deloitte Nla