Multiple choice

Quantity I: A can complete a work in 20 dayswhile B alone can complete half of the work in 12days. They are working together and aftercompletion of the work they get Rs. 440. Find theshare of A. Quantity II: A gives a discount of 60% of themarked price which is 20% above the cost pricewhich is Rs. 650. Find the selling price.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot beestablished
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: A = 1/20 rate. B = 1/24 rate (half work in 12 days). A:B = 1/20 : 1/24 = 6:5. A's share = (6/11) * 440 = 240. Quantity II: CP = 650. MP = 1.2 * 650 = 780. Discount = 0.6 * 780 = 468. SP = 780 - 468 = 312. Quantity II > Quantity I.

AI explanation

For Quantity I, B takes 24 days to complete the work alone, so the ratio of work speeds of A to B is 24 to 20, making A's share (24 divided by 44) times 440 which equals 240. For Quantity II, the marked price is 650 times 1.20 which equals 780, and a 60 percent discount means the selling price is 780 times 0.40 which equals 312. Since 312 is greater than 240, Quantity II is greater than Quantity I.

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