How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

Q: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

Given Principal P = Rs. 450 Simple interest SI = Rs. 81 Rate r = 4.5% p.a. Time via simple interest SI = 𝑃 × 𝑟 × 𝑡 100 100 P×r×t ⇒ 81 = 450 × 4.5 × 𝑡 100 100 450×4.5×t 81 = 20.25t ⇒ t = 81 20.25 20.25 81 = 4 years

Difficulty: Easy

2 years
3 years
4 years
4.5 years

Correct Answer: 4 years

Explanation:

Given

Principal P = Rs. 450
Simple interest SI = Rs. 81
Rate r = 4.5% p.a.

Time via simple interest
SI = 𝑃 × 𝑟 × 𝑡 100 100 P×r×t ⇒ 81 = 450 × 4.5 × 𝑡 100 100 450×4.5×t 81 = 20.25t ⇒ t = 81 20.25 20.25 81 = 4 years

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