Q30
A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed?
A.
100%
AnswerB.
80%
C.
75%
D.
%
Answer: Option A
Solution
Answer: Option A
Solution:
Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP = X + 20% of X = 1.2xIt is given that he incurs loss by selling 16 articles at the cost of 12 articles [loss = = 25%]
His selling price = SP - 25% of SP = SP × 0.75
Hence, SP × 0.75 = 1.2X
Or, SP = = 1.6X
This SP is arrived after giving a discount of 20% on MP.
Let MP = Y
Y - 20% of Y = SP
0.80Y = 1.6X
Y = 2X
It means that the article has been marked 100% above the cost price. Or Marked Price was twice of cost price.