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Question

Two equal sums of money are lent out for 2 years each, one at 5% per annum simple interest and the other at 7% per annum simple interest. If the difference in simple interest earned on the two sums is ₹40, then what was the principal of each sum (in ₹)?

This question was previously asked in
RRB NTPC 2025 Under Graduate CBT 1 Question Paper PDF (20-Jun-2026) (Shift 3)
The correct answer is

1,000

Difference in simple interest for the same principal P over 2 years at 5% and 7%: \(P \times 2 \times \dfrac{7-5}{100} = 40\).

\(P \times \dfrac{4}{100} = 40 \Rightarrow P = 1000\).

Hence, the principal of each sum is ₹1,000.

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  2. Sapna invested ₹21,900 on simple interest, partly at 14% per annum and partly at 10% per annum. If she earns equal interests from the two investments after 2 years, then find the sum invested at 14% per annum (in ₹).
  3. Find the simple interest (in ₹) on ₹1,200 at an interest rate of 4% per month for 11 months.
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Important Questions from Simple Interest

  1. Anil lent a sum of Rs. 5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per anmum for the next 2 years and 10% per annum beyond 4 years. How much interest (in Rs.) will he earn at the end of 10 years?

  2. What will be the simple interest on a sum of Rs. 12000 at the rate of 15 percent per annum for three years ?

  3. If in 13 years fixed sum doubles at simple interest, what will be the interest rate per year? (correct to two decimal places)

  4. On simple interest a sum of Rs. 640 becomes Rs. 832 in 2 years. What will Rs. 860 become in 4 years at the same rate of simple interest?

  5. A certain sum amounts to Rs. 81840 in 3 years and to Rs. 92400 in 5 years at x% p.a. under simple interest. If the rate of interest is becomes (x + 2)%, then in how many years will the same sum double itself?

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