# The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.

**Solution:**

The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹300 less than the simple interest on the same sum for 4.5 years at 8 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×8×4.5/100 - 300 = P × 12 × 2.5/100

36P/100 - 300 = 30P/100

36P/100 - 30P/100 = 300

P/100 (36 - 30) = 300

P/100 (6) = 300

P/100 = 300/6

P/100 = 50

P = 50(100)

P = ₹5000

Therefore, the sum is ₹5,000.

**✦ Try This: **A certain sum of money amounts to Rs. 1008 in 2 years and to Rs. 1164 in 31/2 years. Find the rate of interest.

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

**NCERT Exemplar Class 7 Maths Chapter 7 Problem 135**

## The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.

**Summary:**

The simple interest on a certain sum for 2.5 years at 12 per cent per annum is ₹300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. The sum is ₹5,000.

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