Sarita started a boutique investing an amount of Rs. 50,000. Six months later Neeta joined her with an amount of Rs. 80,000. At the end of one year they earned a profit of Rs. 18,000. What is Sarita’s share in the profit?

Amount invested by Sarita = Rs. 50,000 and amount invested by Neeta = Rs. 80,000

Ratio of amount invested by Sarita : Neeta = 5 : 8

Time period in which Sarita invested = 12 months and Neeta = 6 months

Ratio of time periods of Sarita : Neeta = 2 : 1

=> Ratio of profits earned by Sarita : Neeta = $$(5 \times 2)$$:$$(8 \times 1)$$

= 5 : 4

Total profit earned = Rs. 18,000

$$\therefore$$ Sarita’s share in the profit = $$\frac{5}{(5+4)} \times 18,000$$

= $$5 \times 2,000 = Rs. 10,000$$

=> Ans - (D)