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When an article is sold at 3340\frac{33}{40}4033​​ of its actual selling price. there is a loss of 25%. If it is sold at 32% above its actual sel
Question

When an article is sold at 3340\frac{33}{40}​ of its actual selling price. there is a loss of 25%. If it is sold at 32% above its actual selling price. then the profit percentage is:

A.

18% 

B.

20% 

C.

30%

D.

25%

Correct option is B

Given:

Selling price in first case = 3340\frac{33}{40}​ of actual selling price

Loss in first case = 25%

Selling price in second case = 32% above actual selling price

Formula Used:

Loss% = CPSPCP×100\frac{CP - SP}{CP} \times 100​​

Profit% = SPCPCP×100\frac{SP - CP}{CP} \times 100​​

Solution:

Selling on  3340\frac{33}{40}​of actual selling price 

loss occur = 25% 

so, actual selling price = 40 unit 

sold on = 33 unit 

CP = 33×10075=44 unit\frac{33\times 100}{75} = 44 \ unit 

Now sold on 32% above actual SP 

40×132100=52.8 unit40\times\frac{132}{100} = 52.8 \ unit ​​

Profit % = 52.84444×100=20%\frac{52.8-44}{44}\times 100 = 20\%​​

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