Multiple choice

Passage

Directions: Read the given information carefully and answer the question that follows. Mr. Brown, a shopkeeper, purchased eight bundles of magazines (bundle 1 to bundle 8). Each bundle contained a different number of magazines and he purchased each bundle at a different cost. He sold the magazines from these eight bundles over a period of six weeks, from week 1 to week 6, such that he first sold all the magazines from bundle 1, after which he sold all the magazines from the next bundle, i.e. bundle 2 and so on, until bundle 8. All the magazines that he sold on any week were sold at the same price, which however, was different for each of the six weeks. Further, for each magazine that he sold, CP of that magazine was calculated as the cost of the bundle which that magazine is from, divided by the number of magazines in that bundle. The table below provides the number of magazines in each bundle and the price (in $) at which he purchased each bundle and the second table provides the number of magazines that he sold on each of the six weeks and the price (in $) per magazine on each week. Bundle number Number of magazines Cost of bundle 1 54 405 2 122 976 3 88 594 4 74 481 5 120 930 6 96 576 7 64 417 8 82 697 Week Number of magazines sold on each week Price per magazine on each week Week 1 142 9.5 Week 2 124 10 Week 3 108 9.25 Week 4 114 8.5 Week 5 108 8.75 Week 6 104 10

For how many magazines that Mr. Brown sold was the profit percentage more than 20%?

  1. 420

  2. 586

  3. 568

  4. 410

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

Calculate CP per magazine for each bundle: Bundle 1 (405/54=7.5), 2 (976/122=8), 3 (594/88=6.75), 4 (481/74=6.5), 5 (930/120=7.75), 6 (576/96=6), 7 (417/64=6.51), 8 (697/82=8.5). Profit % = ((SP-CP)/CP)*100. For profit > 20%, SP > 1.2 * CP. Week 1 (SP 9.5): Bundle 1 (7.5*1.2=9) - 142 mags. Week 2 (SP 10): Bundle 1 (142-54=88 left), Bundle 2 (122). Bundle 1 (7.5*1.2=9 < 10) - 54 mags. Bundle 2 (8*1.2=9.6 < 10) - 70 mags. Continue this logic for all weeks.