You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Divide Rs 20,...

Question

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

Open in App

Solution

A's share after 7 years = B's share after 9 years
$A (1 + \frac{4}{100})^{7} = B (1 + \frac{4}{100})^{9}$
$\Rightarrow \frac{A}{B} = (\frac{104}{100})^{9 - 7} = (\frac{104}{100})^{2} = (\frac{26}{25})^{2} = \frac{676}{625}$
$∴$ A's share : B's share = 676:625
Since the total present amount is Rs 20,816
A's share = $20, 816 \times \frac{676}{676 + 625} = \frac{20816 \times 676}{1301}$
$= R s . 10816$
B's present share = 20816-10816=10,000 rupees.

Suggest Corrections

Similar questions

Q. 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.

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.

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

Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

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.

Join BYJU'S Learning Program

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

A's share after 7 years = B's share after 9 yearsA(1+4100)7=B(1+4100)9⇒AB=(104100)9−7=(104100)2=(2625)2=676625∴ A's share : B's share = 676:625Since the total present amount is Rs 20,816A's share = 20,816×676676+625=20816×6761301=Rs.10816B's present share = 20816-10816=10,000 rupees.