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 c… — Answer & Discussion

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?

A15%
B$13\frac{1}{{23}}\% $
C$16\frac{2}{{3}}\% $
D$10\frac{5}{{7}}\% $

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Discussion 1

CCommunity18 Jul 2019

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 = $(10\frac{5}{{7}}\% )$.