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# 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

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