Question

A sum of money put at 9% per annum simple interest amount to Rs 10,160 in 3 year. What will it amount to in 2 years at 8% per annum ?

Answer 1

Find the interest percentage earned in 3 years:

1 year = 9%

3 years = 9 x 3 = 27%

Find the principal amount:

Interest = 27%

Percentage of money with interest = 100 + 27 = 127%

Sum of money with interest = Rs 10160

127% = rs 10160

1% = 10160 ÷ 127 = Rs 80

100 = Rs 80 x 100 = Rs 8000

Find the interest for 2 years at 8% per annum:

1 year = 8% x 8000 = 0.08 x 8000 = Rs 640

2 years = 640 x 2 = Rs 1280

Find the amount after 2 years:

Total amount = Rs 1280 + Rs8000 = Rs 9280

Answer: The amount is Rs 9280

Answer 2

$\bold {\huge {Solutions :-}}$

$<b><i>We have,$
If
Rate = 9%
Amount = ₹10,160
Time = 3 years

And,
Rate = 8%
Time = 2 years
$<b><i>Amount =?$


$<b><i>The interest percentage earned in 3 years =>$

$<b><i>=> 1 year = 9%$

$<b><i>=> 3 years = 9 x 3 = 27%$

$<b><i>The principal amount =>$

$<b><i>Interest = 27%$

$<b><i>Percentage of money with interest = 100 + 27 = 127%$

$<b><i>Sum of money with interest = Rs 10160$

$<b><i>=> 127% = Rs 10160$

$<b><i>=> 1% = 10160/127 = Rs 80$

$<b><i>=> 100 = Rs 80x100 = Rs 8000$

$<b><i>The interest for 2 years at 8% per annum =>$

$<b><i>=> 1 year = 8% x 8000 = 0.08 x 8000 = Rs 640$

$<b><i>=> 2 years = 640 x 2 = Rs 1280$

$<b><i>The amount after 2 years =>$

$<b><i>Total amount$
$<b><i>= Rs 1280 + Rs8000 = Rs 9280$

$<b><i>Hence$

$<b><i>The amount is Rs 9280$

$<b><i><marquee >Hope it helps you$