Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let the value of ring (P1) = Rs.100.
Appreciation (C.I.) for the 1st year
= Rs.`(100 xx 10 xx 1)/(100)`
= Rs.10
∴ Value of the ring at the end of 1st year (A1)
= Rs.100 + Rs.10
= Rs.110
∴ Value of the ring at the begging of 2nd year (P2) = Rs.110
Appreciation (C.I.) for the 2nd year
= Rs.`(110 xx 10 xx 1)/(100)`
= Rs.11
Sum of the appreciation (C.I.) for the 1st year and appreciation (C.I.) of 2nd year
= Rs.(10 + 11)
=Rs.21
Thus, when sum of appreciation is Rs.21, then value of the ring (P1) = Rs.100
And, when sum of appreciation is Rs.6300, then value of the ring
= Rs.`(100 xx 6300)/(21)`
= Rs.30000
So, the value of the ring is Rs.30000.
APPEARS IN
संबंधित प्रश्न
In what time will Rs. 1500 yield Rs. 496.50 as compound interest at 10% per annum compounded annually?
In what period of time will Rs. 12,000 yield Rs. 3972 as compound interest at 10% per annum, if compounded on a yearly basis?
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.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.
Find the compound interest to the nearest rupee on Rs. 10,800 for `2 1/2` years at 10% per annum.
The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.
Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the second year.
Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.
