Curioustab

A Principal amounts to ₹ 944 in 3 yr and to ₹ 1040 in 5 yr, each sum being invested at the same simple interest. The principal was

Q: A Principal amounts to ₹ 944 in 3 yr and to ₹ 1040 in 5 yr, each sum being invested at the same simple interest. The principal was

By formula, P = (A2T1 - A1T2) / (T1 - T2) Here, A1 = ₹ 944, T1 = 3 A2 = ₹ 1040, T2 = 5 ∴ P = [(1040 x 3) - (944 x 5)] / (3 - 5) = (3120 - 4720) / (-2) = (-1600) / (-2) = ₹ 800 ∴ Principal = ₹ 800

₹ 800
₹ 991
₹ 750
₹ 900

Correct Answer: ₹ 800

Explanation:

By formula, P = (A₂T₁ - A₁T₂) / (T₁ - T₂)
Here, A₁ = ₹ 944, T₁ = 3
A₂ = ₹ 1040, T₂ = 5
∴ P = [(1040 x 3) - (944 x 5)] / (3 - 5)
= (3120 - 4720) / (-2)
= (-1600) / (-2)
= ₹ 800
∴ Principal = ₹ 800

← Previous Question Next Question→

More Questions from Simple Interest

A sum of ₹ 1550 was lent partly at 5% and partly at 8% per annum simple interest. The total interest received after 4 yr was ₹ 400, The ratio of the money lent at 5% to that lent at 8% is
Neeta borrowed some money at the rate of 6% per annum for the first 3 yr. at the rate of 9% per annum for the next 5 yr and a the rate of 13% per annum for the period beyond 8 yr. If she pays a total interest of ₹ 8160 at the and of 11 yr how much money did she borrow?
Reena had ₹ 10000 with her, out of this money she lent some money to Akshay for 2 yr at 15% simple interest. She lent remaining money to Brijesh for an equal number of years at the rate of 18%. After 2 yr Reena found that Akshay had given her 360 more as interest as compared to Brijesh. The amount of money which Reena had lent to Brijesh must be
Mr. Pawan invests an amount of ₹ 242000 at the rate of 4% per annum for 6 yr to obtain a simple interest, later he invests the principal amount as well as the amount obtained as simple interest for another 4 yr at the same rate of interest. What amount of simple interest will be obtained at the end of the last 4 yr?
A persom invests ₹ 12000 as fixed deposit at a bank at the rate of 10% per annum simple interest. But due to some pressing needs, he has to withdraw the entire money after 3 yr for which the bank allowed him a lower rate of interest. If he gets ₹ 3320 less than, what he would have got at the end of 5 yr the rate of interest allowed by bank is
Rajnish invested certain sum in three different schemes P, Q and R with the rates of interest 10% per annum, 12% per annum and 15% per annum, respectively. If the total interest accrued in 1 yr was ₹ 3200 and the amount invested in scheme R was 150% of the amount invested in scheme Q. what was the amount invested in scheme Q?
Ajay takes some loan from Rashmi at the rate of 5% per annum andd after 2 yr, Ajay gave back ₹ 8800 to Rashmi and this way paid his whole loan. Find the interest by Ajay.
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 16000 for 2 years at 10% per annum. The sum placed on simple interest is:
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 16% per annum is Rs 320. What is the value of given sum (in Rs)?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion