2026 · Q27
The ratio of the cost price of two articles X and Y is 1 : 2. A businessman earns a profit of p% by selling X and a loss of 3p% by selling Y. If he loses 20% in this transaction, then what is the value of p?
Elementary MathematicsProfit and Loss
- A6%
- B8%
- C10%
- D12%
Explanation
Take the cost prices as c and 2c. The selling prices are c(1 + p/100) and 2c(1 − 3p/100), so total revenue is c[3 − 5p/100]. A 20% loss on the total cost 3c means revenue 2.4c. Hence 3 − 5p/100 = 2.4, giving 5p/100 = 0.6 and p = 12, option D.