Question

A shopkeeper allows a discount of 20% on the marked price of an article and sells it for rs896 (a) calculate the marked price of the article
(b)by selling the article at the discounted price if the gains 12% on his cost price,what was the cost price.
(c)what would have been his profit percentage,if he had sold the article at the market price?

Answer 1

A) let the marked price be x
% discount = 20%
S.P of the articles = rs896
Therefore, the marked price
x-(20% of x) = 896
X-1/5x = 896
(5x - x) /5 = 896
4x/5 = 896
X = 896 x 5/4
X =224 x 5
X =1120
Therefore, marked price = 1120
B) let the cost price be x
Discounted price = 896
Gain percent = 12%
Therefore, cost price
= x + (12% of x) = 896
X + 3/25x = 896
(25x + 3x)/25 = 896
28x/25 = 896
X = 896 x 25/28
X = 800
Therefore, cost price = 800

Answer 2

Given
the shop kipper gives 20% discount

and the selling price is 896 rs
a) 896 x 100/80 = 1120 will be a marked price according to 20%

b) so if 12%Discont will apply so the cost price will be 100-12=88% of the real cost
so
1120 x 88/100
it will be 985.6 rs.

c) the shop kipper Will gain profit of 32%
according to a&b 20+12=32%