Question : By what fraction must the selling price (SP) be multiplied to get the cost price (CP) if the loss is 20%?
Option 1: $\frac{4}{5}$
Option 2: $\frac{8}{5}$
Option 3: $\frac{5}{4}$
Option 4: $\frac{6}{5}$
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Correct Answer: $\frac{5}{4}$
Solution : Cost price = Selling price × $\frac{100}{(100 - \text{Loss %)}}$ So, Cost price = Selling price × $\frac{100}{(100 - 20)}$ ⇒ Cost price = Selling price × $\frac{100}{80}$ $\therefore$ Cost price = Selling price × $\frac{5}{4}$ Hence, the correct answer is $\frac{5}{4}$.
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