Anuj invested a certain amount in a scheme for 2 years, which gives interest at the rate of 15% compounded annually. If the interest had been compounded 8 months, he would have gained Rs. 51 more. Find the certain amount invested by Anuj.?

Rs. 6000
Rs. 8000
Rs. 4000
Rs. 5000

LohaHridoy

6 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : Rs. 6000

Let the certain amount invested by Anuj be Rs. x

When the interest is compounded annually, the amount after two years = x(1 + 15/100)² = x × (23/20) × (23/20) = 529x/400

When the interest is compounded 8 months, the rate of interest = 15 × 2/3 = 10%

The amount after 2 years = x(1 + 10/100)³ = x × (11/10)³ = 1331x/1000

According to the question:

(1331x/1000) – (529x/400) = 51

(2662x – 2645x)/2000 = 51

x = 6000

The amount invested by Anuj = Rs. 6000

6 views Answered 2022-09-04 04:29

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