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A trader lost 10% by selling a shirt for ₹850. He will gain x%' by selling it for ₹1530, the value of x is:
Question

A trader lost 10% by selling a shirt for ₹850. He will gain x%' by selling it for ₹1530, the value of x is:

A.

77

B.

52

C.

72

D.

62

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 %=(SPCPCP)×100\text{Profit \%} = \left( \frac{\text{SP} - \text{CP}}{\text{CP}} \right) \times 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=C10% of C=0.90C.\text{Selling Price} = C - 10\% \text{ of } C = 0.90C.​​
So,
850 = 0.90C.
C =8500.90=85009944.44.= \frac{850}{0.90} = \frac{8500}{9} \approx 944.44.
Now, if the trader sells the shirt for ₹ 1530, the selling price is ₹ 1530. The profit is:
Profit=Selling PriceC=1530944.44=585.56.\text{Profit} = \text{Selling Price} - C = 1530 - 944.44 = 585.56.​​
x%=(585.56944.44)×10062%.x\% = \left( \frac{585.56}{944.44} \right) \times 100 \approx 62\%.

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