Question

15. Divide 28,730 between A and B so tha
when their shares are lent out at 10 per cent
compound interest compounded per yez, te
amount that A receives in 3 years is the same
as what B receives in 5 years.
​

Answer 1

Step-by-step explanation:

Let share of A = Rs. y

share of B = Rs (28,730 - y)

rate of interest= 10%

According to question,

Amount of A in 3 years= Amount of B in 5 years

⇒

$y(1 + \frac{10}{100} )^{3} = (28730 - y)(1+\frac{10}{100} ) ^{5}$

$= > y = (28730 - y)(1 + \frac{10}{100} ) ^{2}$

$= > y = (28730 - y)( \frac{121}{100} )$

⇒ 100y = 121( 28,730 - y )

⇒ 100y + 121y = 121 x 28,730

⇒ 221y = 121 x 28,730

$⇒ y = \frac{121 \times 28730}{221}$

= Rs. 15,730

Therefore share of A = Rs. 15,730

Share of B = Rs. 28,730 - Rs.15,730 = Rs. 13,000

$FOLLOW \: \: ME....$

Answer 2

Step-by-step explanation:

Divide Rs. 28,730 between A and B so that when their shares are lent out at 10% compound interest compounded per year, the amount that A receives in 3 years is the same as what B receives in 5 years.