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?
Assume initial price= $$ x $$Â
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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