If the price of sugar is increased by 10%, then by how much percent consumption should be reduced so that the expenditure remains the same?
Let initial price of sugar = Rs. 10 and expenditure = Rs. 10
=> Consumption = $$C=10\times10=100$$
Now, New price of sugar = $$10+(\frac{10}{100}\times10)$$
= $$10+1=Rs.$$ $$11$$
New Expenditure = Rs. 10
=> New consumption = $$C'=11\times10=110$$
$$\therefore$$ Required % = $$\frac{C'-C}{C'}\times100$$
= $$\frac{110-100}{110}\times100$$
= $$\frac{100}{11}=9.09\%$$
=> Ans - (A)
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