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.

☛ Related Questions:

• Designing a Healthy Diet: When you design your healthy diet, you want to make sure that you meet the . . . .
• 150 students are studying English, Maths or both. 62 per cent of students study English and 68 per c . . . .
• Earth Science: The table lists the world’s 10 largest deserts. (a) What are the mean, median and mod . . . .