In the Meena Bazar ladies purchases with a fair bargaining, so the shopkeepers markup the prices too much. One of the shopkeeper marked up an article at Rs. X expected huge profit if it is sold on the marked price. But a lady purchased it at X/2 with his fine bargaining skills, so the expected profit of the shopkeeper diminished by 66.66%. What is the percentage discount fetched by the customer through bargaining?
Let CP=C, Given MP=X .'. Profit without any discount=(X-C)
With discount, when SP=X/2, then Profit=X/2 - C
Given, profit after discount is 66.66 less or is 33.33 of the original profit.
⇒ (33.33/100)(X-C) = (X/2 - C)
(1/3)*(X-C) = (X-2C)/2
X=4C
⇒ MP is 4 times the CP.
When CP=100, MP=400 and after bargain SP=200
.'. % Discount fetched by customer = [(400-200)/400]*100 = 50%
Correct Option 6)