When a watch is sold at 7 11 of the marked price there is a loss of 20 What is the ratio of the mark...........

Quantitative Aptitude (MTS) Profit and loss

When a watch is sold at 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?

This questions was previously asked in

SSC MTS 18th July 2022 Shift-1

44 : 35

31 : 25

41 : 25

38 : 35

- The watch is sold at 7/11 of the marked price (MP) resulting in a 20% loss, which implies the selling price (SP) is 80% of the cost price (CP).

- From the problem, \( SP = \frac{7}{11} \text{ of MP} \) and \( SP = 0.8 \times CP \).

- Equating the two expressions for SP, \(\frac{7}{11} \times MP = 0.8 \times CP\).

- Solving for MP/CP gives, \( MP = \frac{0.8 \times 11}{7} \times CP \).

- Simplifying, \( MP/CP = \frac{8.8}{7} = \frac{44}{35} \).

- Option 1: 44 : 35 - Correct

- Option 2: 31 : 25

- Option 3: 41 : 25

- Option 4: 38 : 35

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