Question 52

The successive discount of 15%, 20% and 25% on an article is equivalent to the single discount of

Solution

Let original price = $$Rs.$$ $$100x$$

After discount of 15%, new price = $$\frac{85}{100} \times 100x=Rs.$$ $$85x$$

Similarly, after discount of 20%, price = $$\frac{80}{100} \times 85x=Rs.$$ $$68x$$

Again, after discount of 25%, price = $$\frac{75}{100} \times 68x=Rs.$$ $$51x$$

$$\therefore$$ Equivalent discount = $$\frac{100x-51x}{100x} \times 100$$

= $$49\%$$

=> Ans - (C)

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