Advertisements
Advertisements
प्रश्न
The difference between simple interest and compound interest compounded annually on a certain sum is Rs.448 for 2 years at 8 percent per annum. Find the sum.
Advertisements
उत्तर
Since, C.I.
= A - P
C.I. = `(1 + 8/100)^2 - "P"`
= `"P"(108/100)^2 - "P"`
= `(11664"P")/(10000) - "P"`
= `(11664"P" - 10000"P")/(10000)`
= `(1664"P")/(10000)`
S.I. = `("P" xx 8 xx 2)/(100)`
= `(16"P")/(100)`
Now, C.I. - S.I = Rs.448
⇒ `(1664"P")/(10000) - (16"P")/(100)` = Rs.448
⇒ `(1664"P" - 1600"P")/(10000)` = Rs.448
⇒ 64P = Rs.4480000
⇒ P = Rs.70000
Hence, the sum is Rs.70000.
APPEARS IN
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 10000 for 1 year at 8% per annum compounded half yearly.
Find the compound interest at the rate of 5% for three years on that principal which in three years at the rate of 5% per annum gives Rs 12000 as simple interest.
Simple interest on a sum of money for 2 years at \[6\frac{1}{2} %\] per annum is Rs 5200. What will be the compound interest on the sum at the same rate for the same period?
In what time will Rs 1000 amount to Rs 1331 at 10% per annum, compound interest?
The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs 360. Find the sum.
A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find : the rate of interest.
Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.
Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:
- the sum due to Ramesh at the end of the first year.
- the interest he earns for the second year.
- the total amount due to him at the end of the third year.
The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. Calculate :
- The rate of depreciation.
- The original cost of the machine.
- Its cost at the end of the third year.
The value of a machine depreciated by 10% per year during the first two years and 15% per year during the third year. Express the total depreciation of the machine, as percent, during the three years.
Find the sum on which the difference between the simple interest and compound interest at the rate of 8% per annum compounded annually would be Rs. 64 in 2 years.
A sum of Rs. 13,500 is invested at 16% per annum compound interest for 5years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of first year.
(iii) the interest for the second year, correct to the nearest rupee.
On a certain sum of money, lent out at C.I., interests for first, second and third years are Rs. 1,500; Rs. 1,725 and Rs. 2,070 respectively. Find the rate of interest for the (i) second year (ii) third year.
A man borrowed Rs. 20,000 for 2 years at 8% per year compound interest. Calculate :
(i) the interest of the first year.
(ii) the interest of the second year.
(iii) the final amount at the end of the second year.
(iv) the compound interest of two years.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.
A man invests Rs. 9600 at 10% per annum compound interest for 3 years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of the first year.
(iii) the interest for the second year.
(iv) the interest for the third year. the interest for the first year.
Calculate the difference between the compound interest and the simple interest on ₹ 8,000 in three years and at 10% per annum.
Mr. Sharma lends ₹24,000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years.
Peter borrows ₹ 12,000 for 2 years at 10% p.a. compound interest. He repays ₹ 8,000 at the end of the first year. Find:
- the amount at the end of the first year, before making the repayment.
- the amount at the end of the first year, after making the repayment.
- the principal for the second year.
- the amount to be paid at the end of the second year, to clear the account.
The simple interest on a certain sum of money at 4% p.a. for 2 years is Rs1500. What will be the compound interest on the same sum for the same time?
The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.
The compound interest on ₹ 8000 at 10% p.a for 1 year, compounded half yearly is ____________
If the present population of a city is P and it increases at the rate of r% p.a, then the population n years ago would be `"P"(1 + "r"/100)^"n"`
The compound interest on ₹ 16000 for 9 months at 20% p.a, compounded quarterly is ₹ 2522
The sum which amounts to ₹ 2662 at 10% p.a in 3 years, compounded yearly is _________
A sum is taken for two years at 16% p.a. If interest is compounded after every three months, the number of times for which interest is charged in 2 years is ______.
Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.
