how much percent above the c.p should a retailer mark his articles so that after allowing a discount of 15 ℅ on the article, he still gains 8℅?
Answers
Answer:
27.06%
Step-by-step explanation:
Let CP = X
Retailer marks his articles with R% above CP
Marked Price = X + R%X
Retailer provide 15% Discount from marked price, the cost after discount is,
Discounted Price = (X + R%X) - 15%(X + R%X)
⇒ X + R%X - 15%X - 15%R%X
⇒ X - 0.15X + R%X - 0.15R%X [∵ 15% = 15/100 = 0.15]
⇒ 0.85X + 0.85R%X [Simplifying above equation]
⇒ 0.85X (1 + R%) [Taking out 0.85X as common]
Discounted price still gains 8%, so retailer sold the product at,
Selling price = X + 8%X = X + 0.08X = 1.08X
Discounted price and selling price are same, Equate both,
0.85X (1+R%) = 1.08X
1+R% = 1.08X/0.85X = 1.2706
R% = 1.2706 -1 = 0.2706
R = 27.06% which is required answer.
For Example,
If CP = Rs. 100
Marked the price with 27.06% = Rs. 127.06
15% of marked price = Rs. 19.06
Discounted price - Rs. 127.06 - Rs. 19.06 = Rs. 108
Gain = Rs. 8
Which is 8% of cost price.
Hope this helps you.
Answer:
it is wrong
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