Advertisements
Advertisements
प्रश्न
A sum of money is invested at 10% per annum compounded half yearly. If the difference of amounts at the end of 6 months and 12 months is Rs.189, find the sum of money invested.
उत्तर
Let the sum of money be Rs. y
and rate = 10% p.a. compounded half yearly
For first 6 months
∴ A = P`( 1 + r/[ 2 xx 100])^( n xx 2) = y( 1 + 10/2 xx 100)^(1/2 xx 2) = (21/20)y`
For first 12 months
∴ A = P`( 1 + r/[ 2 xx 100])^( n xx 2) = y( 1 + 10/2 xx 100)^(1 xx 2) = (441/400)y`
Given: The difference between the above amounts = Rs.189
⇒ `( 441/400)y - (21/20)y = 189`
⇒ ` (21/400)y = 189`
⇒ ` y = [189 xx 400]/21`
y = 3600.
APPEARS IN
संबंधित प्रश्न
Ranbir borrows Rs. 20,000 at 12% per annum compound interest. If he repays Rs. 8400 at the end of the first year and Rs. 9680 at the end of the second year, find the amount of loan outstanding at the beginning of the third year.
The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine 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.
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.
Find the amount and the compound interest payable annually on:
Rs.17500 for 3 years at 8%, 10% and 12% for the successive years.
Rakesh invests Rs.25600 at 5% per annum compound interest payable annually for 3 years. Find the amount standing to his credit at the end of the second year.
The value of a mobile depreciated by 5% per year during the first two years and 10% per year during the third year. Express the total depreciation of the value of the mobile in percent during the three years.
A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.
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.
