A store raised the price of an item by exactly 10 percent. Which of the following could not be the resulting price of the item?
(a)₹ 5.50
(b)₹ 7.60
(c)₹ 11.00
(d)₹ 12.10
Answer
Answer (as printed): B
Explanation
Let the original price be ₹ $x$ and increased price be ₹ $y$. Then, $110 \%$ of $x=y \Rightarrow x=\frac{100 y}{110}=\frac{10}{11} y$. Original price $=₹\left(\frac{10}{11} \times 5.50\right)=₹ 5$. Original price $=₹\left(\frac{10}{11} \times 7.60\right)=₹\left(\frac{76}{11}\right)=₹ 6.9090 \ldots .$.
Explanation as extracted from the printed page; notation may be imperfect.