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1. During month-long annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is Rs. x, then the price (in rupees) during the last week of the sale will be = ?

A. 90% of x

B. 70% of x

C. 30% of x

D. 10% of x

Solution:

\begin{aligned} Single equivalent discount \\ = (50 + 40 - \frac{50 \times 40}{100}) % \\ = 70 % \\ ∴ Required price of shirt \\ = (100 - 70) % of x \\ = 30 % of x \end{aligned}

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