Question

the simple interest on sum of money at 6% p.a for 7 years is equal to twice of simple interest on another sum for 9 years at 5 p.a. the ratio will be

Answer 1

The ratio of the two sums of money is 15:7, determined by comparing the simple interest earned on the first sum at a 6% rate over 7 years to twice the interest on the second sum at a 5% rate over 9 years.

Step-by-step explanation:

The question asks to find the ratio of two sums of money based on the conditions that the simple interest on the first sum at a 6% per annum rate for 7 years is equal to twice that of the simple interest on another sum for 9 years at a 5% per annum rate. Using the formula for simple interest, I = P × r × t, where I is the simple interest, P is the principal amount, r is the interest rate, and t is the time in years, we can set up an equation to express this relationship:

Let the first sum be P1 and the second sum be P2. The simple interest for the first sum is P1 × 0.06 × 7 and for the second sum is P2 × 0.05 × 9. The condition given is:

P1 × 0.06 × 7 = 2 × (P2 × 0.05 × 9)

By simplifying, we can find the ratio of P1 to P2:

P1 / P2 = 2 × 0.05 × 9 / (0.06 × 7)

P1 / P2 = 90 / 42

P1 / P2 = 15 / 7

Thus, the ratio of the two sums of money is 15:7.