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What sum of money will earn ₹945 as simple interest in 3 years at 7% per annum?

Class 7Comparing QuantitiesComparing Quantities
  • A₹13500
  • B₹4500
  • C₹5445
  • D₹198.45

Step-by-Step Solution

Rearranging gives . Check: . ₹5445 is the trap of answering with the AMOUNT (4500 + 945) when the principal was asked. ₹13500 forgets to multiply by , and ₹198.45 applies the 21% to the interest instead of solving for the principal.
Answer: B) ₹4500

Key idea: Simple interest

When you lend (or borrow) money, the borrower pays the lender extra for the use of the money — that extra is **interest**. **Simple interest** is calculated only on the original principal, not on past interest.

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where = principal (₹), = rate per annum (% per year), = time in years.

Example: ₹2000 at 5% for 3 years: SI = . Total amount = ₹2300.

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