Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Since, Simple interest
= `("P" xx "r" xx "t")/(100)`
⇒ 600 = `("P" xx 4 xx 3)/(100)`
⇒ P = `(60000)/(12)`
= 5000
Now for C.I., P = Rs.5000, r = 4%, t = 3 years
Amount
= `"P"(1 + "r"/100)^"t"`
= `5000(1 + 4/100)^3`
= `5000 xx (26/25)^3`
= 5624.32
Hence, Amount = Rs.5624.32
Also, C.I.
= A - P
= Rs.5624.32 - Rs.5000
= Rs.624.32.
APPEARS IN
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 10800 for 3 years at `12 1/2` % per annum compounded annually.
Calculate the amount and compound interest on Rs 62500 for `1 1/2` years 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.
Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest.
The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.
In what time will Rs 1000 amount to Rs 1331 at 10% per annum, compound interest?
At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?
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.
Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :
(i) the interest paid for the second year.
(ii) the total interest paid in two years.
(iii) the total amount of money paid in two years to clear the debt.
A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year ?
On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.
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.
Saurabh invests Rs. 48,000 for 7 years at 10% per annum compound interest. Calculate:
(i) the interest for the first year.
(ii) the amount at the end of second year.
(iii) the interest for the third year.
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.
Mohan borrowed Rs. 16,000 for 3 years at 5% per annum compound interest. Calculate the amount that Mohan will pay at the end of 3 years.
Rohit borrowed ₹ 40,000 for 2 years at 10% per annum C.I. and Manish borrowed the same sum for the same time at 10.5% per annum simple interest. Which of these two gets less interest and by how much?
A certain sum of money invested for 5 years at 8% p.a. simple interest earns an interest of ₹ 12,000. Find:
(i) the sum of money.
(ii) the compound interest earned by this money in two years and at 10% p.a. compound interest.
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
The difference between C.I. payable annually and S.I. on Rs.50,000 for two years is Rs.125 at the same rate of interest per annum. Find the rate of interest.
The difference between the C.I and S.I for 2 years for a principal of ₹ 5000 at the rate of interest 8% p.a is ___________
The present value of a machine is ₹ 16800. It depreciates at 25% p.a. Its worth after 2 years is ₹ 9450
Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
In how many years will ₹ 3375 become ₹ 4096 at `13 1/3` p.a if the interest is compounded half-yearly?
Find the C.I. on ₹ 15000 for 3 years if the rates of interest are 15%, 20% and 25% for the I, II and III years respectively
The number of conversion periods in a year, if the interest on a principal is compounded every two months is ___________
