Advertisements
Advertisements
प्रश्न
In a factory the production of scooters rose to 46305 from 40000 in 3 years. Find the annual rate of growth of the production of scooters.
Advertisements
उत्तर
Let the annual rate of growth be R.
∴ Production of scooters after three years = P \[ \left( 1 + \frac{R}{100} \right)^n \]
\[46, 305 = 4, 000 \left( 1 + \frac{R}{100} \right)^3 \]
\[ \left( 1 + 0 . 01R \right)^3 = \frac{46, 305}{40, 000}\]
\[ \left( 1 + 0 . 01R \right)^3 = 1 . 157625\]
\[ \left( 1 + 0 . 01R \right)^3 = \left( 1 . 05 \right)^3 \]
\[1 + 0 . 01R = 1 . 05\]
\[0 . 01R = 0 . 05\]
R = 5
Thus, the annual rate of growth is 5 %.
APPEARS IN
संबंधित प्रश्न
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 3000, Rate = 5%, Time = 2 years
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 3000, Rate = 18%, Time = 2 years
There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9261, what it was 3 years ago?
The cost of a T.V. set was quoted Rs 17000 at the beginning of 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. set in 2001?
Ashish started the business with an initial investment of Rs 500000. In the first year he incurred a loss of 4%. However during the second year he earned a profit of 5% which in third year rose to 10%. Calculate the net profit for the entire period of 3 years.
Find the compound interest if the amount of a certain principal after two years is ₹ 4036.80 at the rate of 16 p.c.p.a.
Gautam takes a loan of ₹ 16,000 for 2 years at 15% p.a. compound interest. He repays ₹ 9,000 at the end of the first year. How much must he pay at the end of the second year to clear the debt?
The value of a car, bought for Rs 4,40,000 depreciates each year by 10% of its value at the beginning of that year. So its value becomes Rs 3,08,000 after three years.
