Question

a merchant makes a profit of 20 by selling an article. had he paid 10% less for it and customer paid 10% more for it. what would be the percentage change in the profit percentage

Answer 1

Had he paid 10% less for it and the customer paid 10% more for it, then the percentage change in the profit percentage is 133.33%.

Step-by-step explanation:

Let’s assume the C.P. of the article be "Rs. 100".

Initial profit% = 20%

So, S.P. of the article = 100 + (0.20*100) = Rs. 120

It is given that he is paying 10% less for the article and customer is paying 10% more for the article, so,

The new C.P. of the article becomes = 100 – (0.1*100) = 100 – 10 = Rs. 90

And,

The new S.P. of the article becomes = 120 + (0.1*120) = 120 + 12 = Rs. 132  

∴ The new net profit will be = $\frac{132 - 90}{90} * 100$ = 46.66%

 

Thus,  

The percentage change in the profit % is given by,

= $\frac{46.66 - 20}{20} * 100$

= $\frac{26.66}{20} * 100$

= 133.33%

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