How much per cent the cost price should a shopkeeper marks his goods so that after allowing a discount of 20% on the marked price, he gain 12%.
Answers
Answer:
Let us assume the CP be Rs. 100
Let the MP be Rs. x
Gain % after discount= 12%
Gain = 12% of 100 = Rs. 12
⇒ SP of the article = CP + Gain
= Rs. (100 + 12) = Rs. 112
Discount % = 20%
Discount = 20% of Marked Price
= Rs.20/100 * x
= Rs. 20x/100
Marked Price – discount = SP
⇒ x – x/5 = 112
⇒ (5x – x)/5 = 112
⇒ 4x/5 = 112
⇒ x = 112 * 5/4
= Rs. 140
Marked Price = Rs. 140
Amount marked above the CP = MP – CP
= Rs. (140 – 100)
= Rs. 40
∴ % amount marked above the CP = Amount increased/CP * 100
= 40/100 * 100
= 40%
Answer:
Let us assume the CP be Rs. 100
Let the MP be Rs. x
Gain % after discount= 12%
Gain = 12% of 100 = Rs. 12
⇒ SP of the article = CP + Gain
= Rs. (100 + 12) = Rs. 112
Discount % = 20%
Discount = 20% of Marked Price
= Rs.20/100 * x
= Rs. 20x/100
Marked Price – discount = SP
⇒ x – x/5 = 112
⇒ (5x – x)/5 = 112
⇒ 4x/5 = 112
⇒ x = 112 * 5/4
= Rs. 140
Marked Price = Rs. 140
Amount marked above the CP = MP – CP
= Rs. (140 – 100)
= Rs. 40
∴ % amount marked above the CP = Amount increased/CP * 100
= 40/100 * 100
= 40%