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