Vikas sells two watches. The cost price of the first watch is equal to the selling price of the second watch. The first watch is sold at a profit of 20 percent and the second watch is sold at a loss of 10 percent. What is the ratio of the selling price of the first watch to the cost price of the second watch?

Vikas sells two watches. The cost price of the first watch is equal to the selling price of the second watch. The first watch is sold at a profit of 20 percent and the second watch is sold at a loss of 10 percent. What is the ratio of the selling price of the first watch to the cost price of the second watch? Correct Answer 27 : 25

Given:

Cost price(CP) of 1st watch = Selling price(SP) of 2nd watch

Profit on 1st watch = 20%

Loss on 2nd watch = 10%

Formula used:

SP = CP + Profit

SP = CP - Loss

Loss% = (Loss/CP) × 100

Profit% = (Profit/CP) × 100

Calculation:

Let the CP of 1st watch = x = SP of 2nd watch

SP of 1st watch = 1.2x

Let the CP of 2nd watch = y

⇒ 0.9y = x

⇒ y = x/0.9

Ratio of SP of 1st watch to the CP of 2nd watch =  x : y

⇒ x : y = 1.2x : x/0.9

⇒ x : y = 27 : 25

∴ The ratio of the selling price of the first watch to the cost price of the second watch = 27 : 25

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