retailer marks the price of a shirt at 16% more than the cost price.He then gave a discount of 12% on the marked price.Find the loss% and gain%. everyone report her answer she is in my following please support me she is insulting me
Answers
A retailer allowed 12% discount and sold a t-shirt at a loss of Rs. 16. If he had sold it at 10% discount, he would have gained Rs. 20. For what price did he purchase the T-shirt?
Let p be his normal selling price and c be his purchase cost. From the above:
.88 × p = c - 16 and .9 × p = c + 20
Multiply first equation by 0.9 and the second by 0.88 giving
.792p = 0.9c - 14.4 and 0.792p = 0.88c + 17.6
So 0.9c - 14.4 = 0.88c + 17.6
Therefore 0.02c = 32
Therefore the purchase cost of the t-shirt is Rs1600
The usual selling price is
p = (0.9×1600 -14.4)/.792 = Rs1800
Checking:
1800 × .88 = 1584 (=c - 16)
1800 × .9 = 1620 (=c + 20)
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Answer:
A retailer allowed 12% discount and sold a t-shirt at a loss of Rs. 16. If he had sold it at 10% discount, he would have gained Rs. 20. For what price did he purchase the T-shirt?
Let p be his normal selling price and c be his purchase cost. From the above:
.88 × p = c - 16 and .9 × p = c + 20
Multiply first equation by 0.9 and the second by 0.88 giving
.792p = 0.9c - 14.4 and 0.792p = 0.88c + 17.6
So 0.9c - 14.4 = 0.88c + 17.6
Therefore 0.02c = 32
Therefore the purchase cost of the t-shirt is Rs1600
The usual selling price is
p = (0.9×1600 -14.4)/.792 = Rs1800
Checking:
1800 × .88 = 1584 (=c - 16)
1800 × .9 = 1620 (=c + 20)
Hope it glad well. Mark me Brainlieast.