Prabha started a business investing Rs. 32,000. After 5 months Amit jo

1.	Prabha started a business investing Rs. 32,000. After 5 months Amit joined her with a capital of Rs. 22,000. At the end of the year the total profit was Rs. 16,409. What is Prabha's share in the profit ?1). Rs. 5,2842). Rs. 11,7123). Rs. 10,1824). Rs. 4,697
Answer» Solution Amount INVESTED by Prabha = Rs. 32,000 and amount invested by AMIT = Rs. 22,000 Ratio of amount invested by Prabha : Amit = 16 : 11 Time period in which Prabha invested = 12 MONTHS and Amit =76 months Ratio of time periods of Prabha : Amit = 12 : 7 => Ratio of profits earned by Prabha : Amit = $(16 \times 12)$:$(11 \times 7)$ = 192 : 77 Total profit earned = Rs. 16,409 $\therefore$ Prabha’s share in the profit = $\frac{192}{(192+77)} \times 16,409$ = $192 \times 61 = Rs. 11,712$ => ANS - (B)

Prabha started a business investing Rs. 32,000. After 5 months Amit joined her with a capital of Rs. 22,000. At the end of the year the total profit was Rs. 16,409. What is Prabha's share in the profit ?1). Rs. 5,2842). Rs. 11,7123). Rs. 10,1824). Rs. 4,697

Answer»

Solution

Amount INVESTED by Prabha = Rs. 32,000 and amount invested by AMIT = Rs. 22,000

Ratio of amount invested by Prabha : Amit = 16 : 11

Time period in which Prabha invested = 12 MONTHS and Amit =76 months

Ratio of time periods of Prabha : Amit = 12 : 7

=> Ratio of profits earned by Prabha : Amit = $(16 \times 12)$:$(11 \times 7)$

= 192 : 77

Total profit earned = Rs. 16,409

$\therefore$ Prabha’s share in the profit = $\frac{192}{(192+77)} \times 16,409$

= $192 \times 61 = Rs. 11,712$

=> ANS - (B)