Advertisements
Advertisements
प्रश्न
A man gets a simple interest of Rs. 2,000 on a certain principal at the rate of 5% p.a. in 4 years. What compound interest will the man get on twice the principal in 2 years at the same rate?
Advertisements
उत्तर
Let the Principal amount = P
Simple Interest I = ₹ 2000
Rate of interest R = 5% p.a.
Time duration = T = 4 years
I = `"PRT"/100`
∴ 2000 = `("P" xx 5 xx 4)/100`
∴ P = 10000
Twice the principal was invested for compound interest with the same rate of interest for 2 years.
Here, P = 2 × 10,000
= ₹ 20,000
∴ Amount received,
A = P`(1 + "R"/100)^"T"`
∴ A = `20000(1 + 5/100)^2`
= `20000 xx 21/20 xx 21/20`
= 50 × 441 = 22050
I = A – P = 22050 – 20000 = 2050
The man will receive ₹ 2050 as compound interest.
APPEARS IN
संबंधित प्रश्न
Choose the most appropriate option.
The difference between simple interest and compound interest at the same rate for rupees 5,000 for two years is rupees 98. The rate of interest is:
A certain sum of money amounts to Rs. 1,008 in 2 years and to Rs. 1, 164 in 3 `1/2` years. Find the sum and the rate of interest.
The number of members of a club is increased by 10% every year. If the initial number of the members is 500, then what will be the number at the beginning of the third year?
A certain sum of money was deposited in the bank and it became two-fold in 10 years, what is the rate of simple interest?
If ₹80 amounts to ₹140 in 4 years, what will ₹96 amount to in 10 years at the same rate of interest per annum?
Mr. Thomas invested an amount of ₹13900 divided in two different Schemes A and B at the simple interest rate of 14% per annum and 11% per annum, respectively. If the total amount of simple interest earned in 2 yr be ₹3508, what was the amount invested in Scheme B?
A sum of money at simple interest amounts to ₹815 in 3 years and to ₹854 in 4 years. The sum is
What would be the simple interest on an amount of Rs. 9600 at the rate of 6% per annum after 3 years?
What would be the simple interest on Rs. 8400 in 9 months at the rate of 8.25 percent per annum?
A certain sum of money becomes three times itself in 20 years at simple interest. In how many years does it become double of itself at the same rate of simple interest?
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.
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 sum of money at simple interest trebles itself in 15 years. It will become 5 times of itself in
What is the compound interest on a sum of ₹7200 for `2 2/5` years at 20% p.a. interest compounded yearly (nearest to an Integer)?
If the Interest paid by Sambha on ₹14000, is ₹1260 for a period of 3 years. then find the rate of simple interest charged.
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:
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-
