A sum of 7500 amounts to 9075 at 10% pa in a certain time when the interest is compounded annually

We have,Principal, P = Rs 7500Time,n =  2 yrsAmount, A = Rs 9075Let R% be the rate  of interest.    A = P1 + R100n⇒9075 = 75001 + R1002⇒90757500 =  1 + R1002⇒121100 = 1 + R100 2⇒11102 = 1 + R1002⇒1  + R100 = 1110⇒R100 = 1110 - 1⇒R100 = 11-1010⇒R100 = 110 ⇒R = 10So, rate of interest is 10% p.a.

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A person invests Rs. 7500 at 1...

Updated On: 27-06-2022

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Rs. 1200Rs. 1500 Rs. 1800 Rs. 1400

Answer : B

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A sum of 7500 amounts to 9075 at 10% pa in a certain time when the interest is compounded annually

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At what rate of compound interest compounded annually will 7500 become 9075 in 2 years?

We have , Principal , P = Rs 7500 Time , n = 2 yrs Amount. A = P 1 + R 100 n ⇒ 9075 = 7500 1 + R 100 2 ⇒ 9075 7500 = 1 + R 100 2 ⇒ 121 100 = 1 + R 100 2 ⇒ 11 10 2 = 1 + R 100 2 ⇒ 1 + R 100 = 11 10 ⇒ R 100 = 11 10 - 1 ⇒ R 100 = 11 - 10 10 ⇒ R 100 = 1 10 ⇒ R = 10 So , rate of interest is 10.

At what rate percent per annum will a sum of 7500?

7500Amount (A) = 8427Period = 2 yearsLet R be the rate of p.a., then∴ AP=(1+R100)n⇒ 84277500 = (1+R100)2⇒ 28092500=(1+R100)2⇒ (5350)2=(1+R100)2∴ 1+R100=5350⇒ R100=5350−1=350∴ R=350×100=6%

At what rate per cent per annum will a sum of 7500 amount to 8427 in 2 years compounded annually a 4% B 5% C 6% D 8%?

Thus, we get that the sum of Rs. 7500 amounts to Rs. 8427 in 2 years, compounded annually at the rate $6\% $ per annum.

At what rate percent per annum will a sum of 7500 give 927 as compound interest in 2 years?

Answer: answer is 6%p.a.