Question 66

Two successive discounts of 20% and 30% are given while selling an item. What is the ratio of the marked price to the selling price of the item?

Solution

Let's assume the marked price of the item is Rs. 100y.

Two successive discounts of 20% and 30% are given while selling an item.

Selling price = 100y of (100-20)% of (100-30)%

= 100y of 80% of 70%

= $$100y\times\ \frac{80}{100}\times\ \frac{70}{100}$$

= 56y

The ratio of the marked price to the selling price of the item = 100y : 56y

= 25 : 14

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