Multiple choice

In the following questions, calculate quantity I and quantity II, compare them and answer (a) If quantity I > quantity II (b) If quantity I < quantity II (c) If quantity I ≥ quantity II (d) if quantity I ≤ quantity II (e) if quantity I = quantity II or no relation can be established Q. Quantity I, cost price of book (in Rs) : If the book is sold at a profit of 5% instead of 5% of loss, the shopkeeper get Rs 18 more. Quantity II, selling price of bottle (in Rs) : A shopkeeper marked up the price of the bottle by 50% and gives a discount of 50/3%. The cost price of the bottle is Rs 160.

  1. A

  2. B

  3. C

  4. D

  5. E

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: 5% - (-5%) = 10% of CP = 18. CP = 180. Quantity II: Marked price = 160 * 1.5 = 240. Discount = 50/3% = 1/6. Selling price = 240 * (5/6) = 200. Since 180 < 200, Quantity I < Quantity II.

AI explanation

For Quantity I, the difference between a 5 percent profit and a 5 percent loss is 10 percent of the cost price, which equals Rs. 18, making the cost price 18 / 0.10 = Rs. 180. For Quantity II, a 50 percent markup on Rs. 160 gives a marked price of Rs. 240, and a discount of 50/3 percent (which is 1/6) yields a selling price of 240 * (5/6) = Rs. 200. Since Rs. 180 is less than Rs. 200, Quantity I is less than Quantity II.