Question

Saritaben, Ayesha and Meenakshi started a business by investing 2400, 5200 and 3400 rupees. They made a profit of 50%. How should they share it? If they reinvest all their profit by adding it to the capital, what will each one’s share be in the following year?

Answer 1

Total capital = 2400 + 5200 + 3400 = 11000 rupees.
Profit 50%
$\therefore$ Total profit $=\frac{1100\times 55}{100}=5500$

Profit will be shared in the same proportion as the investment.

We simplify the ratio of two numbers by dividing by a common factor. The same can be done for 3 or more numbers.

Proportion of shares = 2400 : 5200 : 3400
= 24 : 52 : 34 (dividing by 100)
= 12 : 26 : 17 (dividing by 2)

Assume that Saritaben’s profit = 12p,
Ayesha’s profit = 26p,
Meenakshi’s profit = 17p.
$\therefore$ 12p + 26p + 17p = 55p = 5500
$\therefore$ $p=\frac{5500}{55}=100$
$\therefore$ Saritaben’s profit = 12 $\times$ 100 = 1200,
Ayesha’s profit = 26 $\times$ 100 = 2600 and
Meenakshi’s profit = 17 $\times$ 100 = 1700.
If they add their profit to the capital, their further investments will be :
Saritaben’s capital = 2400 + 1200 = ₹ 3600
Ayesha’s capital = 5200 + 2600 = ₹ 7800
Meenakshi’s capital = 3400 + 1700 = ₹ 5100