The price of milk has increased by 20%. To keep the expenditure unchanged, current consumption must be reduced by:
The price of milk has increased by 20%. To keep the expenditure unchanged, current consumption must be reduced by:
दूध की कीमत में 20% की वृद्धि हुई है। व्यय को अपरिवर्तित रखने के लिए, वर्तमान खपत को कम करना होगा:
Detailed Solution & Logic
Correct Answer:
\(16\frac{2}{3}\) %
Price increased by 20%, so new price becomes 120% of original.
Let original price = P and original consumption = Q.
So original expenditure = P × Q.
After increase, new price = $1.2P$
To keep expenditure same:
$1.2P \times \text{new consumption} = P \times Q$
So,
new consumption = $1/1.2 = 5/6$ of original.
Reduction = $1 - 5/6 = 1/6$
In percentage:
$1/6 \times 100 = 16\frac{2}{3}%$
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