Advertisements
Advertisements
प्रश्न
The difference between simple interest and compound interest on a certain sum of money is Rs. 32 at 8% per annum for 2 years. Find the amount.
Advertisements
उत्तर
Compound Interest = A – P
= `"P"(1 + "R"/100)^"T" - "P"`
Simple interest = `"PRT"/100`
Given R = 8%, T = 2 years and
compound interest – simple interest = ₹ 32
∴ `"P"[(1 + "R"/100)^"T" - 1] - "PRT"/100 = 32`
i.e. `"P"([(1 + 8/100)^2 - 1] - (8 xx 2)/100) = 32`
`"P" = ([(108/100)^2 - 1] - 8/50)` = 32
P[(1.08)2 − 1 − 0.16] = 32
P[1.1664 − 1.16] = 32
∴ 0.0064 P = 32
P = `32/0.0064`
= `320000/64`
= `10000/2`
p = ₹ 5000
∴ The man will receive a compound interest of ₹ 5000
APPEARS IN
संबंधित प्रश्न
A sum amounts to Rs. 9680 in 2 years and to Rs. 10648 in 3 years respectively at compound interest. What will be the amount of the same sum `1 2/5` is invested for years at the same rate of compound interest?
Formula such as dollars of interest earned divided by total dollars invested is used to calculate
A sum of ₹725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of ₹362.50 more is lent but at the rate twice the former. At the end of the year, ₹33.50 is earned as interest from both the loans. What was the original rate of interest?
Ravi borrowed some money at the rate of 4% per annum for the first three years, at the rate of 8% per annum for the next two years and at the rate of 9% per annum for the period beyond 5 yr. If he pays a total simple interest of ₹19550 at the end of 7 yr, how much money did he borrow?
The difference between compound interest and simple interest on an amount of ₹15000 for 2 years is ₹96. What is the rate of interest per annum?
The least number of complete years in which a sum of money put out at 20% compound interest will be more than double is
What would be the simple interest on an amount of Rs. 9600 at the rate of 6% per annum after 3 years?
In how many years Rs. 1,00,000 will become Rs. 1,33,100 at a compound interest rate of 10% per annum?
A person borrows 10000 for 2 years at 4% p a simple interest he immediately lends it to another person at 6.5 % p. a. for 2 years. Find his total gain in the transaction.
The compound interest on Rs. 30000 at 7% p.a. is Rs. 4347. What is the period in years?
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
At what rate percent of simple interest will a sum of money double itself in 12 years?
A man invested `1/3` of his capital at 7%; `1/4` at 8% and the remainder at 10%. If his annual income is ₹ 561, the capital is
A salesperson, with a view to promoting sales of an item, applies the principle of simple interest. He declares that 300 pieces of the item can be obtained immediately against cash payment, but a customer will get only 200 pieces of the item if he defers the payment for a year. What is the rate percentage of interest on the whole?
At what rate percent per annum with simple interest will a sum of money double in 12.5 years?
The difference between C.l. and S.I. on ₹16000 for 1 year at 10% p.a. reckoned half-yearly is-
Ram bought 1600 eggs at Rs. 3.75 per dozen. He sold 900 of them at 2 for Re 1 and the remaining at 5 for Rs. 2. His gain percent is:
The ratio of the amount for 3 years under C.I. annually and for one year under S.I. is 36:25. If the same rate of interest is charged then find the rate-
If x, y, z are three sums of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then we have-
A sum becomes ₹2,916 in 2 years at 8% per annum compound interest. The simple interest at 9% per annum for 3 years on the same amount will be-
