Question 122

An article when sold for 960 fetches 20% profit.What would be the percent profit /loss if such 5 article are sold for Rs. 825/-each?

Solution

Let cost price of an article = $$Rs.$$ $$100x$$

If Selling price = Rs 960

=> Profit % = $$\frac{960-100x}{100x} \times 100=20$$

=> $$960-100x=20x$$

=> $$20x+100x=120x=960$$

=> $$x=\frac{960}{120}=8$$

Thus, cost price of 1 article = $$100 \times 8 = Rs.$$ $$800$$

If selling price = Rs. 825

$$\therefore$$ Profit % = $$\frac{825-800}{800} \times 100$$

= $$\frac{25}{8} = 3.125\%$$

=> Ans - (A)


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