In simple interest, what sum amounts to Rs. 1088 in 6 years and Rs. 1184 in 8…
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In simple interest, what sum amounts to Rs. 1088 in 6 years and Rs. 1184 in 8 years?
Answer: B. Rs. 800 — Answer: Rs 800 Key idea: The difference between the two given amounts for 8 years and 6 years gives the simple interest for 2 years. Compute the annual simple…
- A.
Rs. 600
- B.
Rs. 800
- C.
Rs. 750
- D.
Rs. 900
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Correct answer: B
Answer: Rs 800
Key idea: The difference between the two given amounts for 8 years and 6 years gives the simple interest for 2 years.
Compute the annual simple interest:
Difference for 2 years = 1184 - 1088 = 96, so simple interest for 1 year = 96/2 = 48.
Let the principal be x. Amount after 6 years = x + 6×(annual interest) = x + 6×48.
Set this equal to the given amount after 6 years: x + 6×48 = 1088 ⇒ x + 288 = 1088 ⇒ x = 1088 - 288 = 800.
Verification: Amount after 8 years = 800 + 8×48 = 800 + 384 = 1184, which matches the given value.