Multiple choice

Passage

Directions: Study the following information carefully and answer the question. The following table represents the number of different questions of aptitude generated by four different people. Person Total Questions Generated Approved Questions (%) Questions Yet to be Checked (%) A 400 30 40 B - 35 45 C 700 - 60 D 900 40 - Note: '-' represents missing data. Money earned by each person (Rs.) = (Number of questions approved × 70) - (Number of questions disapproved × 10)

Find the difference between the total amounts of money earned by A and B, if the ratio of the total number of questions generated by A to that generated by B is 2 : 3.

  1. Rs. 6100

  2. Rs. 6200

  3. Rs. 6300

  4. Rs. 6400

  5. Rs. 6500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A: 400 total, 30% approved = 120, 40% checked = 160. Disapproved = 400 - 120 - 160 = 120. Earnings A = 120*70 - 120*10 = 7200. Ratio A:B = 2:3, so B = 600 total. B: 35% approved = 210, 45% checked = 270. Disapproved = 600 - 210 - 270 = 120. Earnings B = 210*70 - 120*10 = 13500. Difference = 6300.

AI explanation

From the given ratio 2:3, the total questions generated by B are (3/2)*400 = 600. For A, approved questions are 30% of 400, which is 120, and disapproved questions are 40% of 400, which is 160; therefore, A's earnings are (120*70) - (160*10) = 8400 - 1600 = Rs. 6800. For B, approved questions are 35% of 600, which is 210, and disapproved questions are 45% of 600, which is 270; therefore, B's earnings are (210*70) - (270*10) = 14700 - 2700 = Rs. 12000. The difference between their earnings is 12000 - 6800 = Rs. 6300.

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