Question

1. A, B and C started a business. A invests
1/2 capital for 1/4 time, B invests 1/8
capital
for 1/2
time and C invests the remaining
capital for whole time. find the share of B in the
total profit of Rs.9900.​

Answer 1

Answer:

A. B. c

1/2 x 1/4. 1/8 x I/2 *3/8 xl

I/8: I/I6:3/8. * I-(I/2+I/8)

multply by l6

16/8:16/16:48/16

2: I:3

share of B=9900x1/6=I650

B gets Rs 1650 as profit

Answer 2

Given: Amount invested by A = $\dfrac{1}{2}$

Time for A = $\dfrac{1}{4}^{th}$ time

Amount invested by B = $\dfrac{1}{4}$

time for B = $\dfrac{1}{8}$

Total profit = Rs. 9900

To find : The share of B = ?

Solutions:

Remaining part of amount invested by C:

$1-(\dfrac{1}{2}+\dfrac{1}{8})\\\\=1-(\dfrac{4+1}{8})\\\\=1-\dfrac{5}{8}\\\\=\dfrac{8-5}{8}\\\\=\dfrac{3}{8}$

According to question, we get:

$\dfrac{1}{2}\times \dfrac{1}{4}:\dfrac{1}{8}\times \dfrac{1}{2}:\dfrac{3}{8}\times 1\\\\=\dfrac{1}{8}:\dfrac{1}{16}:\dfrac{3}{8}\\\\=2:1:6$

So, the total share of B would be

$\dfrac{1}{9}\times 9900\\\\=1100$

Hence, the share of B is Rs.1100.