Discussion
An article price is increased by 10% and later the new price is decreased by 10%. If the latest price of the article is ₹1,485, then find the original price.
Answer: B
The original price is Rs 1,500. A 10 per cent rise followed by a 10 per cent fall leaves the price at 1.1 x 0.9 = 0.99 of the original, so the original price is 1485 / 0.99 = 1500. Rs 1,450 would give 1435.5 and Rs 1,550 would give 1534.5; Rs 1,650 is the price after only the 10 per cent rise. The two successive changes are not equal to zero overall, since 10 per cent of a larger number is more than 10 per cent of the original. The net effect is a fall of 1 per cent: 1500 becomes 1650 after the rise and 1485 after the fall, which matches the given latest price.
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