The price of sugar increases by 20%. By what percent must a housewife reduce the consumption of sugar, so that the expenditure on sugar is the same as before?a) 16.66 b) 20 c) 80 d) 83.33 Correct answer is option 'A'. Can you explain this answer?

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The price of sugar increases by 20%. By what percent must a housewife reduce the consumption of sugar, so that the expenditure on sugar is the same as before?

a)
16.66
b)
20
c)
80
d)
83.33

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

The price of sugar increases by 20%. By what percent must a housewife ...

As price and consumption are inversely proportional, if one creaded by

\frac{1}{x}

, then
other should reduce by

\frac{1}{(x + 1)}

So, 20% is

\frac{1}{5}

, consumption should reduced by

\frac{1}{6}

= 16.66%

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The price of sugar increases by 20%. By what percent must a housewife reduce the consumption of sugar, so that the expenditure on sugar is the same as before?a) 16.66 b) 20 c) 80 d) 83.33 Correct answer is option 'A'. Can you explain this answer?

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