Question

A sum of 25000 was given as loan on compound interest for 3 years compounded
annually at 5% per annum during the first year, 6% per annum during the second year and
8% per annum during the third year. The compound interest is
(b) 5051
(c) 5072
(d) 5150
(a) 5035 gyz plz help​

Answer 1

(b) 5051

Step-by-step explanation:

Present value =₹ 25000

Interest rate for the first year, p=5% per annum

Interest rate for the second year, q=6% per annum

Interest rate for the third year, r=8% per annum

To find the amount we have the formula,

Amount (A)=P(1+(r/100))

n

where P is present value, r is rate of interest, n is time in years

Since here we have variable rates, we modify the formula to get:

Amount (A)=P×(1+p/100)×(1+q/100)×(1+r/100)

Now substituting the values in above formula we get,

∴A=25000×(1+5/100)×(1+6/100)×(1+8/100)

⇒A=25000×(105/100)×(106/100)×(108/100)

$$\Right Arrow A = 21 × 53 × 27$$

⇒A=₹ 30051

∴ Compound interest =A–P

=30051–25000=₹ 5051

Answer 2

Answer:

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