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Simple & Compound Interest · Question 16 of 60

Question 16

MediumOriginal question

At simple interest, a sum amounts to ₹9,440 in 3 years and to ₹10,400 in 5 years. What is the sum?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The extra 2 years add ₹10,400 − ₹9,440 = ₹960 of interest.

  2. So one year's interest = ₹480.

  3. Sum = ₹9,440 − 3 × ₹480 = ₹9,440 − ₹1,440 = ₹8,000.

Worth noting

₹960 is the interest for 2 years, not 1. Taking it as one year's interest gives ₹6,560; subtracting it only once gives ₹8,480.

Concept
Finding the principal from two amounts at simple interest
Typical time
60 s
Your time
—
The rule this testsSimple interest
Practise this chapter →

Ten questions from Simple & Compound Interest, at your own pace.

Practise this chapter →

Ten questions from Simple & Compound Interest, at your own pace.