Advertisements
Advertisements
प्रश्न
Calculate the amount and the compound interest for the following:
Rs.30,000 at 8°/o p.a. in `2 1/2` years
Advertisements
उत्तर
Here, P = Rs.30,000 ; r = 8°/o p.a. ; t = `2 1/2` years
For the first year: t = 1 year
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 30000 xx 8 xx 1)/100`
S.l. = Rs2, 400
A=P+S.I.
=Rs (30,000 + 2,400) = Rs 32,400 = new principal
For the seoond year: t = 1 year; P=Rs 32,400
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 32400 xx 8 xx 1)/100`
S.I. = Rs2, 592
A=P+S.I.
A=Rs (32,400 + 2,592) =Rs 34,992 =new principal
For the third year: t = 1/2 year ; P=Rs 34, 992
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 34992 xx 8 xx 1)/100`
S.I = Rsi, 399.68
A=P+S.I.
A=Rs (34, 992 + 1,399.68) = Rs 36,391.68
C.l. = Interest in first year+ interest in second year + interest in third year
C.l.= Rs (2,400 + 2,592 +1,399.68) =Rs 6,391.68
संबंधित प्रश्न
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money
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.
A certain sum of money invested at compound interest compounded annually amounted to Rs 26,450 in 2 years and to Rs 30,417.50 in 3 years. Calculate the rate of interest and the sum invested.
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.
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.
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two 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.
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.
