9. A trader allows a discount of 13% on the marked price. How much above the cost price must he mark his goods to make a profit of 19%? a
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Answer:
Step-by-step explanation:
Let the marked price be decided to be x% above the cost price, then
6.6 = x – 18 – 18x/100
⇒ 6.6 + 18 = x – 0.18x
⇒ 0.82x = 24.6
⇒ x = 24.6/0.82 = 30
Detailed Method:
Let the Cost price of the article be Rs. 100, then
SP of the article = 100 × (106.6) = Rs. 106.6
MP of the article = 106.6 × (100/82) = 130
MP is more than CP by = 130 – 100 = 30
∴ MP is more than CP by (in %) = 30/100 × 100 = 30%
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