Advertisements
Advertisements
प्रश्न
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
Advertisements
उत्तर
P = Rs. 50,000, R = `7 1/2` % p.a. = `15/2` % p.a.
Interest for first year
`= ("Rs" 50000 xx 15/2 xx 1)/100`
`= ("Rs" 50000 xx 15 xx 1)/ (2 xx 100)`
= Rs 3, 750
Amount due after 1st year
=Rs. 50,000 +Rs. 3,750 =Rs 53,750
Amount paid after 1st year = Rs. 27,7 50
Balance amount= Rs. 53,750 - Rs. 27,750 =Rs. 26,000
Interest for second year when r = `9 1/4 %`p.a. = `37/4`% p.a.
`= ("Rs" 26000 xx 37/4 xx 1)/100`
`= ("Rs" 26000 xx 37 xx 1)/(4 xx 100)`
= Rs 2, 405
Amount due after 2nd year
= Rs. 26,000 + Rs. 2,405 =Rs 28,405
Mr. Chatterjee has to return Rs 28,405 to Mr. Patel at the end of second year to clear his loan.
संबंधित प्रश्न
Prashant borrowe Rs. 35000 at 12% p.a. compounded semi-annually. Find the amount he needs to pay back at the end of `1 1/2` years
A certain sum of money invested at compound interest compounded annually amounted to Rs 5,082 after 2 years and to Rs 5,590.20 after 3 years. Calculate the rate of interest and the sum invested.
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
the rate of depreciatlon
The cost of a machine dep reciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The cost at the end of the fourth year.
The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.
Calculate the amount and cornpound interest of the following, when cornpounded annually:
Rs 20,000 for 2 years at `12 1/2` % p.a.
Calculate the amount and the compound interest for the following:
Rs 10,000 for 3 years if tl1e rates of interest are 10%, 11% and 12% for the successive years.
What sum of money will amount to Rs 8,073 in 2 years at compound interest if the rates of interest for the successive years are 15% and 17%?
What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?
On what sum of money will the compound interest for `1 1/2` years at 16% p.a. compounded half-yearly amount to Rs 649.28?
