Question

Mr. Rohit borrowed 26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

a/Rupees 36649.70
b/Rupees 36759.60
c/Rupees 36659.80
d/Rupees 36659.70


plz anyone give me the correct answer and if you don't know the answer leave it and plz if anyone know the answer plz give me it's urgent​

Answer 1

Answer:

Correct option is

A

36660

Principal (P) = Rs26,400

Rate (R) = 15% per annum

Number of years (n) = 2

12

4

The amount for 2 years and 4 months can be calculated by first calculating the amount for 2 years using the compound interest formula, and then calculating the simple interest for 4 months on the amount obtained at the end of 2 years.

For calculating amount of first 2 years,

Amount = Principal(1+

100

R

)

Time

Interest = Amount - Principal

Amount = 26400(1+

100

15

)

2

Amount=34914

Now, the interest for next

3

1

years will be calculated using Simple Interest

S.I. =

100

(P×R×T)

S.I. =

100

34914×15×

3

1

S.I. = 1745.70

Therefore, total amount to be paid after 2 years and 4 months = 34,914+1,745.70=Rs 36,659.70

Nearest whole number to 36659.70 is 36660.

$Correct \: option \: is \: </p><p>A \: </p><p> \: 36660</p><p> \: Principal \: (P) \: = \: \: \: \: Rs26,400</p><p>Rate \: \: (R) \: = 15% per \: annum</p><p> \: Number \: of \: years \: (n) \: = 2 </p><p>12</p><p>4</p><p> </p><p> </p><p></p><p>The \: amount \: for \: 2 \: years \: and \: 4 \: months \: can \: be \: calculated \: by \: first \: calculating the \: amount \: for \: 2 \: years \: using \: the \: compound \: interest \: formula, \: and \: then \: calculating \: the \: simple \: interest \: for \: \: \: \: 4 \: months \: on \: the \: amount \: obtained \: at \: the \: end \: of 2 \: \: years.</p><p>For \: calculating \: amount \: of \: first \: 2 years,</p><p></p><p>Amount \: = Principal(1+ </p><p>100</p><p>R</p><p> </p><p> ) </p><p>Time</p><p> </p><p>Interest = Amount - Principal</p><p></p><p>Amount = 26400(1+ </p><p>100</p><p>15</p><p> </p><p> ) </p><p>2</p><p> </p><p>Amount=34914</p><p></p><p>Now, the interest for next </p><p>3</p><p>1</p><p> </p><p> years \: will \: be \: calculated \: using \: Simple \: Interest</p><p>S.I. = </p><p>100</p><p>(P×R×T)</p><p> </p><p> </p><p>S.I. = </p><p>100</p><p>34914×15× </p><p>3</p><p>1</p><p> </p><p> </p><p> </p><p> </p><p>S.I. = 1745.70</p><p></p><p>Therefore, \: total \: amount \: to \: be \: paid \: after \: 2 years \: and \: 4 \: months \: = 34,914+1,745.70=Rs 36,659.70</p><p>Nearest \: whole \: number \: to 36659.70 \: is 36660.</p><p>$

Step-by-step explanation:

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