Sushma and Harika started a business with investments of Rs. 4500 and Rs. 5500 respectively. After 6 months Sai joined them with an investment of Rs. 7000.
Find the total share of Sushma and Harika in the annual profit of Rs. 27000.

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Solution

We know,
$p r o f i t = i n v e s t m e n t \times t i m e$
$T o t a l p r o f i t = R s .27, 000$

The ratio of investments is equal to the ratio of points.
$S u s h m a : H a r i k a : S a i = 4500 \times 12 : 5500 \times 12 : 7000 \times 6$
$= 45 \times 2 : 55 \times 2 : 70$
$= 90 : 110 : 70$
$= 9 : 11 : 7$

We know that Profit $= R s .27, 000$
Let $9 k + 11 k + 7 k = 27, 000$
$\Rightarrow 27 k = 27, 000$
$\Rightarrow k = 1, 000$

Total share of Sushma and Harika in the annual profit is
$= 9 k + 11 k = 20 k = 20 \times 1, 000 = R s .20, 000$

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Sushma and Harika started a business with investments of Rs. 4500 and Rs. 5500 respectively. After 6 months Sai joined them with an investment of Rs. 7000. Find the total share of Sushma and Harika in the annual profit of Rs. 27000.

Sushma and Harika started a business with investments of Rs. 4500 and Rs. 5500 respectively. After 6 months Sai joined them with an investment of Rs. 7000.
Find the total share of Sushma and Harika in the annual profit of Rs. 27000.