Divide Rs. $3364$ between $A$ and $B$ , so that $A$ 's Share at the end of $5$ years may equal to $B$ 's share at the end of $7$ years, compound interest being at $5$ percent.

Open in App

Solution

A's shar after 5 years = B's share after 7 years
$A (1 + \frac{5}{100})^{5} = B (1 + \frac{5}{100})^{7}$
$\Rightarrow \frac{A}{B} = (1 + \frac{5}{100})^{7 - 5} = (\frac{105}{100})^{2} = (\frac{21}{20})^{2} = \frac{441}{400}$
Since the total present amount is Rs. 3364
A' share = $3364 \times \frac{441}{441 + 440} = 3364 \times \frac{441}{841}$
$= 4 \times 441$
$= R s .1764$
B's present share = Rs. 3364- Rs. 1764 = Rs 1600

Suggest Corrections

Similar questions

Q. Divide Rs 20,816 between A and B so that As share at the end of 7 years is equal to Bs share at the end of 9 years with compound interest being 4% p.a

Q. Rs.

44, 200

are divided between Ram and John so that Ram's share at the end of

6

years may be equal to John's share at the end of

4

years, the rate of interest being

10

percent compounded yearly. Find Ram's share

Q. Divide Rs. 36,465 between A and B so that when their shares are lent out at 10 per cent compound interest per year, the amount that A receives in 7 years is the same as what B receives in 5 years.

Q. If Rs.

44, 200

is divided between Ram and John so that Ram's share at the end of

6

years is equal to John's share at the end of

4

years, the rate of interest being

10

per cent compounded yearly. Then John's share is.

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

Join BYJU'S Learning Program

Divide Rs.3364 between A and B, so that A's Share at the end of 5 years may equal to B's share at the end of 7 years, compound interest being at 5 percent.

A's shar after 5 years = B's share after 7 yearsA(1+5100)5=B(1+5100)7⇒AB=(1+5100)7−5=(105100)2=(2120)2=441400Since the total present amount is Rs. 3364A' share = 3364×441441+440=3364×441841=4×441=Rs.1764B's present share = Rs. 3364- Rs. 1764 = Rs 1600

Divide Rs. $3364$ between $A$ and $B$ , so that $A$ 's Share at the end of $5$ years may equal to $B$ 's share at the end of $7$ years, compound interest being at $5$ percent.