Multiple choice

A man sells a book at a profit of 20 %. If he had bought it at 20 % less and sold it for Rs. 18 less, he would have gained 25 %. Find the cost price of the book?

  1. Rs 80

  2. Rs 90

  3. Rs 67

  4. Rs 28
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = x. Original SP = 1.2x (20% profit). New CP = 0.8x (20% less), new SP = 1.2x - 18 (Rs. 18 less). New profit = 25%, so new SP = 1.25 × 0.8x = x. Therefore: x = 1.2x - 18, giving 0.2x = 18, so x = 90. The cost price is Rs. 90. Verification: Original SP = 1.2 × 90 = Rs. 108, profit = Rs. 18 (20% of 90). New CP = Rs. 72, new SP = Rs. 90, profit = Rs. 18 (25% of 72 ✓).

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