Question

 9. A Businessman rebate of 10 % on list price, How much % of cost price should be increased to earn 17 % as profit?​

Answer 1

Answer:

30% of cost price should be increased

Step-by-step explanation:

Let say Cost Price =  C

Let say X % is increased on Cost Price

Then MRP = C + (X/100)C  = C ( 1 + 0.01X)

MRP =  list Price

Rebate given on MRP = 10%

Selling Price = MRP - Rebate =  MRP  - (10/100)MRP = 0.9MRP

Selling Price = 0.9 * C ( 1 + 0.01X)

Profit earned 17 % on Cost Price

Profit = (17/100)C = 0.17C

Selling Price = C + 0.17C = 1.17C

1.17C = 0.9 * C ( 1 + 0.01X)

=> 1.3 = 1 + 0.01X

=> 0.3 = 0.01X

=> 30 = X

30% of cost price should be increased