A man invests a certain sum of money at 6% per annum simple interest and another at 7% per annum simple interest. His income from interest after 2 yr was ₹ 792. Also, half of the first sum is equal to one-third of the second sum. The total sum invested was?

₹ 5800
₹. 6200
₹ 6000
₹ 5900

Correct Answer: ₹ 6000

Explanation:

Let the sum be P and Q, respectively.
Then, (P x 6 x 2)/100 + (Q x 7 x 2)/100 = 792
⇒ 6P + 7Q = 39600 ...(i)
Also P/2 = Q/3 ⇒ 3P = 2Q ... (ii)
On solving Eqs . (i) and (ii), we get P = 2400 and Q = 3600
∴ Total sum = (2400 + 3600) = ₹ 6000

← Previous Question Next Question→

More Questions from Simple Interest

A borrowed ₹ 4800 from B at 9% per annum simple interest for 3 yr. He, then added some more money to the borrowed sum and lent it to C for the same period at 12% per annum simple interest. If A gains ₹ 720 in the whole transaction, how much money did he add from his side?
A person closer his account in an investment scheme by withdrawing ₹ 10000. One year ago, he had withdraw ₹ 6000. Two years ago, he had withdrawn ₹ 5000. Three years ago, he had not withdrawn any money. How much money had he deposited approximately at the time of opening the account 4 yr ago, if the annual simple interest is 10%?
A certain sum becomes ₹ 600 in a certain time at the rate of 6% simple interest. The same sum amounts to ₹ 200 at the rate of 1% simple interest in the same duration. Find the sum and time.
The simple interest on a certain sum of money for 2 1/ 2 yr at 12% per annum is ₹ 20 less than the simple interest on the same sum for 3 1/ 2 yr at 10% per annum. Find the sum.
A sum was lent out for a certain time. The sum amounts to ₹ 400 at 10% annual interest rate. When the sum was lent out at 4% annual interest rate,it amounts to ₹ 200. Find the sum.
The annual payment of ₹ 160 in 5 yr at 5 % per annum simple interest will discharge a debt of
What annual payment will discharge a debt of ₹ 1092 due in 2 yr at 12% simple interest?
What annual payment will discharge a debt of ₹ 1696 in yr at 4% per annum?
Harsha makes a fixed deposit of ₹ 20000 in Bank of India for a period of 3 yr. If the rate of interest be 13% SI per annum charged half - yearly, what amount will he get after 42 months?
A certain sum at simple interest amount to ₹ 1350 in 5 yr and to ₹ 1620 in 8 yr what is the sum?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion