Sita, Gita and Rita invested ₹20,000, ₹50,000 and ₹40,000, respectively, in a business. The net profit for the year was ₹12,100, which was divided in proportion to their investments. Find the share of profit earned by Rita.

Correct option is A

Given:

Sita's investment = ₹20,000

Gita's investment = ₹50,000

Rita's investment = ₹40,000

Net profit for the year = ₹12,100

Solution:

Total investment = 20,000 + 50,000 + 40,000 = 1,10,000

Rita’s share = $$\left(\frac{40,000}{1,10,000}\right) \times 12,100$$​​

Rita’s share =$$\frac{40,000 \times 12,100}{1,10,000} = \frac{4,84,00,000}{1,10,000} = 4,400$$​

Thus, Rita's share of the profit is ₹4,400.

Alternate Method:​

Sita : Gita : Rita = 2 : 5 : 4

The sum of the ratios is 2+5+4=11

Rita's share of profit = $$\frac4{11}\times$$​12,100

Rita's share of profit = 4×1,100

Rita's share of profit = ₹4,400