Q . An article is marked up 40% higher than CP but it was sold
on X% discount. The shopkeeper thus gains 12%. What
would be the S.P. of the article with C.P. Rs. 120 and sold on
X% profit ?
b. Rs. 144
c. Rs. 128
a. Rs. 134.50
d. Rs. 148
e.None of these
Answers
Answer:
e none of these
cp is 120 but it marked 40% higher than actually value so marked value is 120+56=176
shopkeeper gains 12% so there is 28% discount so sp is 176-28% of 176 so ans is 126.72
Answer:
An article is marked up 40% higher than CP but it was sold on X% discount. The shopkeeper thus gains 12%. What would be the S.P. of the article with C.P. Rs. 120 and sold on x% profit?
If the article was sold with x% profit, then the S.P would be Rs. 144 ( option a)
Step-by-step explanation:
The cost price of the article is given as Rs. 120
The marked price given by the shopkeeper was 40% higher than the marked price. Therefore the marked price is:
140% of Rs. 120
140/100 × 120 = Rs. 168
That means the marked price was Rs. 168
If the article is sold at x% discount on the marked price, the shopkeeper makes 12% profit.
Let us calculate the S.P. at 12% profit from the cost price of Rs. 120
The selling price at 12% profit wil be 112%, 112% of Rs. 120
112/100 × Rs. 120 = Rs. 134.4
Rs. 134.4 is the price at with the article was sold at x% discount and the shopkeeper made 12% profit.
That means x% discount = 168 ( Marked price) - 134.4 ( Selling price)
= Rs. 33.6
That means x% discount = Rs. 33.6
∴ x/100 × 168 = Rs. 33.6
1.68x = 33.6
x = 33.6 / 1.68
x = 20
Therefore x = 20% discount
Let us now get a profit of 20% (x%) from cost price Rs. 120
Profit of 20% = 120% of the Cost price
120 / 100 × Rs. 120 = 14400/100
= Rs. 144
Therefore to make a profit of 20%, x%, the shopkeeper would sell the article at Rs. 144