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A trader lost 5% by selling a shirt for ₹950. He will gain x% by selling it for ₹1,350. The value of x is:
Question

A trader lost 5% by selling a shirt for ₹950. He will gain x% by selling it for ₹1,350. The value of x is:

A.

50

B.

35

C.

25

D.

45

Correct option is B

Given:

Selling Price for a 5% loss = ₹950

Selling Price for desired profit = ₹1,350

Concept Used:

Cost Price when there is a loss: CP=SP(1Loss%)CP = \frac{SP }{ (1 - Loss \%)}​​

Profit% =  ((SPCP)CP)×100(\frac{(SP - CP) }{ CP}) × 100​​

Solution:

Cost Price = 9500.95=1,000\frac{950 }{0.95} = ₹1,000​​

New Selling Price = ₹1,350

Gain% = ((13501000)1000)×100 (\frac{(1350 - 1000) }{ 1000}) × 100​​

(3501000)×100=35% (\frac{350 }{1000}) × 100 = 35 \%​​

Final Answer: x = 35.0%

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