Exams › IBPS PO › Quantitative Aptitude

The cost price of an article is Rs. \(A\). A shopkeeper marks the article \(B\%\) above its cost price. He allows a 25% discount on the marked price and earns a profit of Rs. \((B+20)\). If the same article is marked up by \((B+5)\%\) and the same discount is allowed, he earns a profit of Rs. \((B+65)\). Which of the following is/are correct? A) \(A/8 = 4B\) B) \(29.5B + 20 = A\) C) None of the above D) \(1.2A = 36B\) E) Both (b) & (d)

1. A/8 = 4B
2. 29.5B + 20 = A
3. None of the above
4. 1.2A = 36B
5. Both (b) & (d)

Correct answer: Both (b) & (d)

Solution

Using the 25% discount, the selling price becomes 75% of the marked price. Equating selling price minus cost price to the given profits in both cases gives two equations, which simplify to options (b) and (d).

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