Multiple choice

A shopkeeper, by selling 13 Titan watches, earns a profit equal to the selling price of 3 Titan watches. Calculate his profit percentage?

  1. 30%

  2. 23%

  3. 46%

  4. 16%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit = SP - CP. Given Profit = 3 * SP_of_1_watch. So, 3 * SP = 13 * SP - 13 * CP. 13 * CP = 10 * SP. SP/CP = 13/10. Profit % = (3/10) * 100 = 30%.

AI explanation

Let the selling price of one watch be s and the cost price be c. The profit from selling 13 watches is 13s minus 13c, and this equals the selling price of 3 watches, which is 3s. Setting them equal gives 13s minus 13c equals 3s, which simplifies to 10s equals 13c, meaning c equals 10s divided by 13. The profit on one watch is s minus c, which is s minus 10s divided by 13, equaling 3s divided by 13. The profit percentage is profit divided by cost price times 100, becoming (3s divided by 13) divided by (10s divided by 13) times 100, which equals 30%.

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