Due to lockdown a person borrowed some money at the rate of 5% p.a. for first 3 years, at the rate of 8% p.a. for the next 2 years and 3% p.a. for next 3 years. If he pays a total interest of 6400 at the end of 8 years, then how much money was borrowed by him?
Due to lockdown a person borrowed some money at the rate of 5% p.a. for first 3 years, at the rate of 8% p.a. for the next 2 years and 3% p.a. for next 3 years. If he pays a total interest of 6400 at the end of 8 years, then how much money was borrowed by him? Correct Answer Rs. 16000
Given:
Interest rate for first 3 years = 5%
Interest rate for next 2 years = 8%
Interest rate for last 3 years = 3%
Simple interest = 6400
Formula:
SI = PRT/100
Calculation:
Let borrowed money be Rs. X
6400 = (x × 3 × 5)/100 + (x × 2 × 8)/100 + (x × 3 × 3)/100
⇒ 6400 = 15x/100 + 16x/100 + 9x/100
⇒ 6400 = 40x/100
⇒ x = 6400 × (100/40)
⇒ x = 16000
∴ The borrowed money was Rs. 16000.
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Feb 20, 2025