# Aman Started a Factory with an Initial Investment of Rs 100000. in the First Year, He Incurred a Loss of 5%. However, During the Second Year, He Earned a Profit of 10% Which in the Third Year Rose to - Mathematics

Sum

Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.

#### Solution

Aman's profit for three years = P $\left( 1 - \frac{R_1}{100} \right)\left( 1 + \frac{R_2}{100} \right)\left( 1 + \frac{R_3}{100} \right)$
$= 100, 000\left( 1 - \frac{5}{100} \right)\left( 1 + \frac{10}{100} \right)\left( 1 + \frac{12}{100} \right)$
$= 100, 000\left( 0 . 95 \right)\left( 1 . 10 \right)\left( 1 . 12 \right)$
$= 117, 040$
∴ Net profit = Rs 117, 040 - Rs 100, 000
= Rs 17, 040

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 14 Compound Interest
Exercise 14.4 | Q 12 | Page 27