Question 124

When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% morethan theearlier one. If the family consumed 18.4 kg sugar per month earlier, then whatis its new consumption of sugar per month?

Solution

Assume initial price= $$ x $$

new price = 128 % of $$x$$

$$\Rightarrow \dfrac{128}{100}x$$

$$\Rightarrow 1.28 x $$

Initial expenditure = $$18.4 \times x $$

new expenditure = $$112% of (18.4 \times x)$$

$$\Rightarrow \dfrac{112}{100}\times (18.4 \times x)$$

New consumption = $$\dfrac {112\times(18.4\times x)}{100 \times 1.28 x}$$

$$\Rightarrow 16.1 Kg $$ Ans

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