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The price of a certain item is increased by 12%. If a consumer wants to keep his expenditure on the item the same as before, how much per cent must be reduce his consumption on that item?1). 15%2). \(13\frac{1}{{23}}\% \)3). \(16\frac{2}{{3}}\% \)4). \(10\frac{5}{{7}}\% \) |
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Answer» The PRICE of a certain item is increased by 12%. Let the original price of that item be Rs. 100 per kg. So, now the price of that item per kg = Rs. 100 × (112/100) = Rs. 112 Then, quantity of the item can be AVAILED with Rs. 100 = 100/112 = 25/28 kg So, quantity of item reduced by = 1 - (25/28) = 3/28 kg. ∴ The percentage of reduction in CONSUMPTION = [(3/28)/1] × 100 = $(10\frac{5}{{7}}\% )$. |
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