Question

A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs. 25,000. At he end of the year, out of a total profit of Rs.15,453 C gets Rs. 3825 as his share. How many month after B joined the business did C join?

Answer 1

Answer:

$3$  $months$

Step-by-step explanation:

A:

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

Now, since A has been working for 12 months, this is where the effective investment comes in:

A effective investment = Rs 312,000

B:

Then after 3 months, B joined, so:

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

Since B only worked nine months, we use that to find effective investment:

B effective investment = Rs 144,000

C:

C joined x months since B joined in:

We don't know how much C worked for, but we know that C joined after B:

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

Find effective investment:

Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:

Add all effective investment:

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

Find profit share: 225,000 - 25,000x

==> Rs 3,825

The total profit:

Rs 15,453

To get our final answer, we must do this operation:

C investment divided by Total Investment = C's profit and total profit:

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x)  = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3