Question

Mayank, Mirza, Little and Jaspal bought a motorbike for rupee 60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza paid one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

• A. \$15
• B. \$13
• C. \$17
• D. None of these

Hint:

In such problems, set up equations based on the proportions to simplify the solution.

Answer 1

The Correct Option is B

Let the amounts paid by Mayank, Mirza, Little, and Jaspal be \( M, I, L, J \) respectively. The total amount is 60, so: \[ M + I + L + J = 60 \] From the conditions: \[ M = \frac{1}{2}(I + L + J), \quad I = \frac{1}{3}(M + L + J), \quad L = \frac{1}{4}(M + I + J) \] By solving these equations, we find that Jaspal paid \$13.