## Discussion

#### Q.

The selling price of a chair, a desk, and a table are in the ratio of 9: 5: 8. The cost price of the chair is ₹ 400. The profit percentage earned by selling the table is $14\frac{2}{7}%$. If the ratio of the percentage profit earned by selling the chair, desk, and table is 7: 14: 8 respectively, what is the overall percentage profit?

 A. 16.58% B. 15. 79% C. 14.75% D. 13.76%

#### Explanation:

ratio of the percentage profit is 7 : 14 : 8

8 = 1/7 ( 14.28%)

7 = 1/8

14 = 1/4

The CP of the chair = 400,    Its SP = 400 x 9/8 = 450

The ratio of SP = 9 : 5 : 8

9 = 450

5 = 250

8 = 400

Total SP = 1100

CP of desk = 250 x 4/5 = 200

CP of table = 400 x 7/8 = 350

Total CP = 400 + 200 + 350 = 950

Profit = 1100 - 950 = 150

Profit % = 150/950 x 100 = 15.789% = 15.79%