Discussion

A shop reduced its prices by 10%. What is the new price of an item which was previously sold for ₹ 500?

Answer: C

The new price is ₹ 450.

A 10% reduction on ₹ 500 is

\[ \begin{aligned} \frac{10}{100} \times 500 &= 50 \\ 500 - 50 &= 450 \end{aligned} \]

Equivalently, the new price is 90% of the old: 0.9 × 500 = 450.

₹ 550 is the result of increasing the price by 10% instead of reducing it, ₹ 510 adds only ₹ 10, and ₹ 400 takes off 20%.

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