Advertisements
Advertisements
प्रश्न
A man borrows Rs 62500 at 8% p.a., simple interest for 2 years. He immediately lends the money out at CI at the same rate and for same time. What is his gain at the end of 2 years?
Advertisements
उत्तर
Case I :
Simple interest = `(62500 xx 8 xx 2)/(100)`
= 10000
Amount
= Rs.62500 + Rs.10000
= Rs.72500
Case II :
Here P1 = Rs.62500 and r = 8%
So, Amount after 1 year
= `"P"(1 + "r"/100)`
= `62500(1 + 8/100)`
= `62500 xx (108)/(100)`
= 67500
Thus, P2 = Rs.67500 and r = 8%
Amount after 2 year
= `"P"(1 + "r"/100)`
= `67500(1 + 8/100)`
= `67500 xx (108)/(100)`
= 72900
Hence, Amount = Rs.72900
Thus, gain in amount
= Rs.72900 - Rs.72500
= Rs.400.
APPEARS IN
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 18000 for `2 1/2` years at 10% per annum compounded annually.
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?
Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.
Find the amount and the compound interest.
| No. | Principal (₹) | Rate (p.c.p.a.) | Duration (Years) |
| 1 | 2000 | 5 | 2 |
| 2 | 5000 | 8 | 3 |
| 3 | 4000 | 7.5 | 2 |
A sum is invested at compound interest, compounded yearly. If the interest for two successive years is Rs. 5,700 and Rs. 7,410. calculate the rate of interest.
Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate:
- the rate of interest per annum.
- the amount at the end of the second year.
- the interest accrued in the third year.
During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.
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 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.
Rekha borrowed Rs. 40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.
Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% 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.
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 amount and the compound interest payable annually on the following :
Rs.25000 for 1`(1)/(2)` years at 10% per annum.
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 payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate percent.
The compound interest on ₹ 5000 at 12% p.a for 2 years, compounded annually is ___________
The present value of a machine is ₹ 16800. It depreciates at 25% p.a. Its worth after 2 years is ₹ 9450
The compound interest on ₹ 16000 for 9 months at 20% p.a, compounded quarterly is ₹ 2522
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 ___________
The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is ______.
Compound interest is the interest calculated on the previous year’s amount.
Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.
