Multiple choice

A man gets Rs. $13$ more by selling an article at a profit of $12 \dfrac {1}{2}$ $\%$ than selling it at a loss of $ 12\dfrac {1}{2}$ $\%$. What is the cost price of the article ?

  1. Rs. $28$
  2. Rs. $43$
  3. Rs. $52$
  4. Rs. $71$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be x. Profit = 12.5% of x = 0.125x. Loss = 12.5% of x = 0.125x. Difference = 0.125x - (-0.125x) = 0.25x. 0.25x = 13. x = 13 / 0.25 = 52.

AI explanation

A profit of 12.5% equals 1/8 of the cost price, and a loss of 12.5% equals 1/8 of the cost price. The difference between the selling prices is the sum of these fractions, 1/4 of the cost price. Since this difference is Rs 13, the equation is 1/4 * CP = 13, making the cost price Rs 52.

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