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By selling articles at 31, a shopkeeper losses 7%. What will the profit percentage be when he sells the same article at 35?
Question

By selling articles at 31, a shopkeeper losses 7%. What will the profit percentage be when he sells the same article at 35?

A.

4%

B.

5%

C.

7%

D.

6%

Correct option is B

Given:

Selling Price (SP) = Rs.31

Loss = 7%

Formula used:

Profit = selling Price - cost Price

Cost price = selling price + loss

Solution:

The shopkeeper sells at Rs.31 and incurs a loss of 7%.

This means the selling price (S.P.) is 93% of the cost price (C.P.).

Let the cost price be Rs. x

x = 31 + 7% of x

=> x - 7% of x = 31

=>93x100=31=> \frac{93x }{100} =31

=>x=31×10093=> x = \frac{31\times100 }{93} ​​​

 =>1003=> \frac{100 }{3} ​​

Profit = 35 - 1003\frac{100 }{3} ​​

=> 1051003\frac{105-100 }{3} ​​

=> 53\frac{5}3​​

Profit % = [(5/3)(100/3)]×100\left[\frac{(5/3)}{(100/3)}\right] × 100​​

=> 5100×100\frac{5}{100}\times100​​

=> 5%

Thus, the correct answer is (b) 5%.




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