When a watch is sold at $\frac{7}{11}$ of the marked price, there is a loss of 20%. What is the ratio of the marked price to the cost price of this watch?

44 : 35

When a watch is sold at $\frac{7}{11}$ of the marked price means

\(\frac{SP}{MP}\) = \(\frac{7}{11}\)

Let the SP = 7x and the MP = 11x

So loss given = 20%

80% of the CP = 7x

100% of the CP = \(\frac{7x}{80}\) × 100 

MP = 11x

So, MP : CP = 11x   : \(\frac{7x}{80}\) × 100

MP : CP = 44 : 35