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Principal = Rs 1600 Amount = Rs 1852.20 Rate = 5% per annum Let time = T years By using the formula, A = P (1 + R/100)n 1852.20 = 1600 (1 + 5/100)T 1852.20 = 1600 (105/100)T (21/20)T = 1852.20/1600 (21/20)T = 9261/8000 (21/20)T = (21/20)3 So on comparing both the sides, n = T = 3 ∴ Time required is 3 years. Principal (P) = Rs. 1600 Amount (A) = Rs. 1852.20 Rate (R) =5% p.a Let n be the time ∵A=P(1+R100)n AP=(1+R100)n ⇒Rs.1852.201600=(1+5100)n ⇒Rs.185220100×1600=(2120)n ⇒Rs.92618000=(2120)n ⇒(2120)3=(2120)n Comparing, we get n = 3 ∴ Period = 3 years.How many years will 1600 amount to 1852.20 at 5% per annum when compounded annually?Detailed Solution
Therefore in 3 years the rupees 1600 amount to rupees 1852.20 at 5% P.A.
How many years will a sum of Rs 1600 1852.20 at 5% per annum compound interest?∴ Period = 3 years. Q. A sum amounts to Rs.
In what time will Rs 1600 amount to Rs 1800 at 6% per annum simple interest?So, Time =1.75 years = 1 year and 9 months.
What is the compound interest in on a sum of 12600 for 16 years at 20% per annum if the interest is compounded half yearly nearest to a rupee?∴ The compound interest incurred is Rs. 4171.
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