Discussion
Successive discounts of x% and y% on the catalogue price of an article is equivalent to a single discount of:
Answer: B
Successive discounts of x per cent and y per cent leave (1 - x/100)(1 - y/100) of the price, which equals 1 - (x + y - xy/100)/100. So the single equivalent discount is (x + y - xy/100) per cent. The options with x - y or a plus sign before xy/100 do not come from this product. With x = 10 and y = 20 the combined discount is 10 + 20 - 2 = 28 per cent. Directly, 0.9 x 0.8 = 0.72, so the discount is 28 per cent, which confirms that the product term xy/100 is subtracted.
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