Advertisements
Advertisements
Question
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.
Advertisements
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
APPEARS IN
RELATED QUESTIONS
The population of a place increased to 54000 in 2003 at a rate of 5% per annum Find the population in 2001.
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 5000, Rate = 10 paise per rupee per annum, Time = 2 years
In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?
The population of a certain city was 72000 on the last day of the year 1998. During next year it increased by 7% but due to an epidemic it decreased by 10% in the following year. What was its population at the end of the year 2000?
The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997
The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997.
.
Jitendra set up a factory by investing Rs 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.
Mohan purchased a house for Rs 30000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 3 years.
To start a business, Shalaka has taken a loan of ₹8000 at a rate of 10 `1/2` p.c.p.a. After two years, how much compound interest will she have to pay?
The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
