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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: $\frac{6}{5}$


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

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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