Question : The price of almonds is increased by 10%. By what percentage should the consumption be decreased so that the expenditure remains the same?
Option 1: $9 \frac{1}{11} \%$
Option 2: $5 \frac{3}{11} \%$
Option 3: $8 \frac{1}{11} \%$
Option 4: $10 \frac{3}{11} \%$
Correct Answer: $9 \frac{1}{11} \%$
Solution :
Let the initial price be 100.
After increment of 10% = 110
Difference = 110 – 100 = 10
Required percentage = $\frac{\text{difference}}{\text{Increased price}}\times100$
= $\frac{10}{110}\times100$
= $9\frac{1}{11}$
Hence, the correct answer is $9\frac{1}{11}\%$.
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