Question 46

A profit of 25% is earned on goods when a discount of 20% is allowed on the marked price. What profit percentage will be earned when a discount of 10% is allowed on the marked price?

Solution

Let the Marked Price = Rs. 100

=> Selling price = $$\frac{80}{100} \times 100 = 80$$

$$\therefore$$ Cost price = $$\frac{100}{125} \times 80 = 64$$

When discount of 10% is allowed

=> S.P. = $$\frac{90}{100} \times 100 = 90$$

$$\therefore$$ Required Profit % = $$\frac{90 - 64}{64} \times 100$$

= $$\frac{325}{8} = 40\frac{5}{8} \%$$

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