A day full of math games & activities. Find one near you.

The simple interest on a certain sum for 8 years at 12 per cent per annum is ₹3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum. Find the sum

Solution:

The simple interest on a certain sum for 8 years at 12 per cent per annum is ₹3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum.

We have to find the sum.

We know, I = P × R × T/100

Let the sum be P

According to the question,

P × 12 × 8/100 = 3120 + P × 14 × 5/100

96P/100 = 3120 + 70P/100

96P/100 - 70P/100 = 3120

P/100 (96 - 70) = 3120

P/100 (26) = 3120

P/100 = 3120/26

P/100 = 120

P = 120(100)

P = ₹12000

Therefore, the sum is ₹12,000.

✦ Try This: A sum of money lent at simple interest amounts to Rs3224 in 2 years and Rs4160 in 5 years. Find the sum and the rate of interest.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 134

The simple interest on a certain sum for 8 years at 12 per cent per annum is ₹3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum. Find the sum.

Summary:

The simple interest on a certain sum for 8 years at 12 per cent per annum is ₹3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum. The sum is ₹12,000

☛ Related Questions: