Question
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Answer (Detailed Solution Below)
Option 3 : $16\frac{2}{3}\%$ / $16\frac{2}{3}\%$
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Detailed Solution
सही उत्तर $16\frac{2}{3}\%$ / $16\frac{2}{3}\%$ है।
Key Points
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Question:
The price of sugar is increased by $20\%$. By what percentage must a family reduce its consumption of sugar so that its expenditure on sugar does not increase? / चीनी की कीमत में $20\%$ की वृद्धि होती है। एक परिवार को चीनी की खपत कितने प्रतिशत कम करनी होगी ताकि चीनी पर उसका खर्च न बढ़े?
1.
$20\%$ / $20\%$
2.
$25\%$ / $25\%$
3.
$16\frac{2}{3}\%$ / $16\frac{2}{3}\%$
4.
$18\frac{1}{3}\%$ / $18\frac{1}{3}\%$
Correct Answer: $16\frac{2}{3}\%$ / $16\frac{2}{3}\%$
New consumption must be $\frac{1}{1.20} = \frac{5}{6}$ of the original, so the reduction $= 1 - \frac{5}{6} = \frac{1}{6} = 16\frac{2}{3}\%$. / नई खपत मूल की $\frac{1}{1.20} = \frac{5}{6}$ होनी चाहिए, अतः कमी $= 1 - \frac{5}{6} = \frac{1}{6} = 16\frac{2}{3}\%$।
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