How many years will a sum of ₹ 1600 amount to ₹ 2116 at 15% compound interest?

Given details are,

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.