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
Mr Lalit invested Rs. 5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to Rs. 5325. Calculate
1) The rate of interest
2) The amount at the end of the second year, to the nearest rupee.
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. 76, 000 at 10 °/o p.a. in `2 1/2` years
Calculate the amount and the compound interest for the following:
Rs.16, 000 at 15 °/o p.a. in `2 2/3` years
The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.
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.
Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.
Calculate the sum of money on which the compound interest (payable annually) for 2 years be four times the simple interest on Rs. 4,715 for 5 years, both at the rate of 5% per annum.
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.
Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.
