Correct option is D
Given:
A trader lost 10% by selling a shirt for ₹850.
He will gain x% by selling it for ₹1530.
Formula Used:
Profit = Selling Price - Cost Price
Profit %=(CPSP−CP)×100
Solution:
Let the cost price of the shirt be C .
When the trader sells the shirt for ₹850, he incurs a loss of 10%. The relationship between selling price and cost price is:
Selling Price=C−10% of C=0.90C.
So,
850 = 0.90C.
C =0.90850=98500≈944.44.
Now, if the trader sells the shirt for ₹ 1530, the selling price is ₹ 1530. The profit is:
Profit=Selling Price−C=1530−944.44=585.56.
x%=(944.44585.56)×100≈62%.