Discussion
A company retains 70 percent of its total profit and divides rest of the profit among its 27 employees. The ratio of the number of senior employees to the number of junior employees is 5 :
4. The profit share of each senior employee and each junior employee are in the ratio of 7 : 2 respectively. If each junior employee gets Rs. 2800 as his share of profit, then what is the total profit of the company?
Answer: B
There are 27 employees in the ratio 5 : 4, so 15 are seniors and 12 are juniors. A junior gets Rs. 2800, and the shares are in the ratio 7 : 2, so a senior gets 7/2 x 2800 = Rs. 9800. The total share is 15 x 9800 + 12 x 2800 = 147000 + 33600 = Rs. 180600. This is the 30 percent that is divided, since 70 percent is retained, so the total profit is 180600 / 0.3 = Rs. 602000. The answer is Rs. 602000, option (B). The retained 70 percent of the profit is not shared, so only the 30 percent that is divided can be used to work out the shares, as done above.
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