Question 18

A merchant earns 25% profit in general. Once his 25% consignment was abducted forever by some thieves. Trying to compensate for his loss he sold the rest of his consignment by increasing his selling price by 20%. What is the new percentage profit or loss?

Solution

Let say the merchant has 100 consignments and let say C.P. of one consignment be ₹ $$x$$.

So, total C.P. = ₹ $$100x$$

Now, 25% consignment was abducted forever by some thieves.

So, remaining consignments = $$100\left(1-\dfrac{25}{100}\right)=75$$

Now, selling price of these 75 consignments = $$75\times\ x\times\ \left(1+\dfrac{20}{100}\right)\left(1+\dfrac{25}{100}\right)=112.5x$$

So, total S.P. = $$112.5x$$

So, profit % = $$\dfrac{112.5x-100x}{100x}\times\ 100\%=12.5\%$$ profit.

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