Question

Item A was marked 100% above its cost price if the respective ratio between the doscount and the profit earned on selling item a wws 3:5 what was the percent profit earned

Answer 1

Answer:

3p+8p=100%

p=5/8(100%)

p=62 1/2%

p=62.5%

Step-by-step explanation:

Answer 2

The percentage of profit earned was 62.5 %.

Step-by-step explanation:

Let the cost price of the item = C.P = Rs. 100

Item A marked 100% above its cost price = M.P = Rs. (100 + 100) = Rs. 200

Ratio between the discount and profit earned on selling item was 3 : 5

Let the discount = 3x    and profit = 5x

Selling Price = S.P = Rs. 200 - 3x

Profit = S.P - C.P

=> 5x = 200 - 3x - 100

=> 5x + 3x = 100

=> 8x = 100

=> x = $\frac{100}{8} = 12.5$

Profit = 5x = 5 x 12.5 = 62.5

Profit percentage = $\frac{profit}{C.P}\times 100$ = $\frac{62.5}{100}\times 100$ = 62.5%

Hence, the percentage of profit earned was 62.5 %.