Question

The marked price of an item is 40% above the purchase cost. How much discount can be offered so that the gain is 12% ? solution

Answer 1

Answer:

20% discount can be offered on the marked price so that the gain is 12%

Step-by-step explanation:

Let the purchased price = Rs 100

=> marked price is 40% above the purchase cost

=> MP = 100 + (40/100)x100

=> MP = 140

To gain a profit of 12% on the purchase cost, selling price must be equal to,

SP = 100 + (12/100)x100

=> SP = 112

Hence discount offered = 140 - 112 = Rs 28

=> Percentage discount = (28/140) x 100 = 20%

Hence 20% discount can be offered on the marked price so that the gain is 12%

Answer 2

Answer:

20% Discount

Step-by-step explanation:

Let say Cost Price =  100X

Gain to be achieved = 12 %

12 % Gain = (12/100) * 100X = 12X

Selling Price = 100X + 12X = 112X

Marked Price = 100X + (40/100)100X = 140X

let say Discount offered = D %

Discount = (D/100) * 140X  = 1.4DX

Selling Price = 140X - 1.4DX  

140X - 1.4DX = 112X

=> 1.4DX = 28X

=> D = 20

20% Discount can be offered at Marked Price