If the rate of a bed is increased by 17.89%, then by 13.43% and then by 8.93%, the price becomes Rs.2,765. What is the original price of the bed?
Question
If the rate of a bed is increased by 17.89%, then by 13.43% and then by 8.93%, the price becomes Rs.2,765. What is the original price of the bed?
Solution
To find the original price of the bed, we need to reverse the percentage increases.
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First, we reverse the last increase of 8.93%. The price before this increase would be Rs.2,765 divided by 1.0893 (because an increase of 8.93% means the price is 108.93% of the original, or 1.0893 times the original). This gives us approximately Rs.2,537.97.
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Next, we reverse the second increase of 13.43%. The price before
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