Advertisements
Advertisements
प्रश्न
The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:
- Its value after 2 years.
- Its value when it was purchased.
Advertisements
उत्तर
(i) Present value of machine(P) = Rs.97,200
Depreciation rate = 10%
∴ Value of machine after 2 years = P`( 1 - r/100)^n`
= 97,200`( 1 - 10/100 )^2`
= 97,200`(9/10)^2`
= Rs. 78732.
(ii) Present value of machine(A) = Rs.97,200
Depreciation rate = 10% and time = 2 years
To calculate the cost 2 years ago
∴ A = P`( 1 - r/100 )^n`
⇒ 97,200 = P`( 1 - 10/100 )^2`
⇒ 97,200 = P`( 9/10 )^2`
⇒ `97200 = P xx 9/10 xx 9/10`
⇒ P = `(97200 xx 10 xx 10)/(9 xx 9)`
⇒ P = Rs. 1,20,000
APPEARS IN
संबंधित प्रश्न
The present population of the town is 2,00,000. The population is increased by 10% in the first year and 15% in the second year. Find the population of the town at the end of two years.
Nikita invests Rs. 6000 for two years at a certain rate of interest compounded annually. At the end of the first year, it amounts to Rs. 6720. Calculate:
- the rate of interest.
- the amount at the end of the second year.
Calculate the amount and the compound interest for the following:
Rs.10,000 at 8°/o p.a. in `2 1/4` years
Calculate the amount and the compound interest for the following:
Rs. 76, 000 at 10 °/o p.a. in `2 1/2` years
The value of a scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 in the second year.
The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.
Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.
A man invests Rs 24000 for two years at compound interest, If his money amounts to Rs 27600 after one year, find the amount at the end of second year.
How much will Rs 25000 amount to in 2 years at compound interest, if the rates for 1st and 2nd years be 4% and 5% p.a. respectively?
What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.
