Question : On selling a watch at $\frac{5}{6}$ of the marked price there is a loss of 10%. What will be the ratio of the marked price and cost price of the watch?
Option 1: 28 : 27
Option 2: 27 : 25
Option 3: 29 : 25
Option 4: 25 : 22
Correct Answer: 27 : 25
Solution :
Let cost price as $C$ and marked price as $M$.
According to the question,
Selling Price($S$) = $\frac{5}{6}M$
Loss percentage = 10%
⇒ Selling Price = 90% of the Cost Price
⇒ $S = \frac{9}{10}C$
⇒ $\frac{9}{10}C=\frac{5}{6}M$
⇒ ${\frac{M}{C}}$ = $\frac{54}{50}$
⇒ ${\frac{M}{C}}$ = $\frac{27}{25}$
Hence, the correct answer is 27 : 25.
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