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Question

Quantitative Aptitude Question on Compound Interest

For the same principal amount, the compound interest for two years at 5% per annum exceeds the simple interest for three years at 3% per annum by Rs 1125. Then the principal amount in rupees is ?
[This Question was asked as TITA]

A

Rs. 60000

B

Rs. 70000

C

Rs. 100000

D

Rs. 90000

Answer

Rs. 90000

Explanation

Solution

Let the principal be PP

Given (P×(1+5100)2P)(P×3×3100)=1125\bigg(P×\bigg(1+\frac{5}{100}\bigg)^2-P\bigg)-\bigg(\frac{P×3×3}{100}\bigg) = 1125

P(0.10250.09)=1125⇒ P(0.1025-0.09)=1125

P=90000⇒ P=90000

So, the correct option is (D): Rs. 90000