Question 56

The difference between a discount of 35% and two successive discounts of 20% on a certain bill was Rs. 22. The amount of the bill was

Solution

Let amount of the bill = Rs. $$100x$$

I : Amount after discount of 35% = $$100x-(\frac{35}{100}\times100x)$$

= $$100x-35x=65x$$

II : Amount after first discount of 20% = $$100x-(\frac{20}{100}\times100x)$$

= $$100x-20x=80x$$

Amount after second discount of 20% = $$80x-(\frac{20}{100}\times80x)$$

= $$80x-16x=64x$$

According to ques, => $$65x-64x=22$$

=> $$x=22$$

$$\therefore$$ Amount of the bill = $$100\times22=Rs.$$ $$2200$$

=> Ans - (B)


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