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: $\frac{6}{5}$
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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