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. Show
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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.
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