Question
Download Solution PDFComprehension
Directions: Read the data carefully and answer the following questions.
Three people – Aman, Bhavna, and Chirag – were assigned the task of taking printouts of some documents. Each of them printed documents both in black & white and in colour. No document was printed by more than one person.
The total number of printouts taken by all three persons together is 700. Aman took 200 printouts, out of which 70% were black & white printouts. The ratio of colour printouts taken by Aman, Bhavna, and Chirag is 1 :2 : 3. The number of colour printouts taken by Bhavna is 20% more than the number of black & white printouts taken by her. The number of black & white printouts taken by Bhavna and Chirag is the same.
Aman takes 40 seconds per B&W printout and 80 seconds per color printout. Bhavna takes 80% of Aman's time for B&W printouts but 110% for color printouts and Chirag takes 62.5% of Aman's time for all printouts. Then what will be the time difference between Bhavna and Chirag to complete their tasks?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGeneral Solution:
Total printouts by all three: 700
Aman's printouts:
Total: 200
70% B&W, so 30% color
B&W: 0.7 × 200 = 140
Color: 0.3 × 200 = 60
Ratio of color printouts by Aman : Bhavna : Chirag = 1 : 2 : 3
Aman's color printouts = 60 (from above)
So, ratio 1 part = 60
Therefore:
Bhavna's color = 2 × 60 = 120
Chirag's color = 3 × 60 = 180
Bhavna's color printouts are 20% more than her B&W printouts:
Let Bhavna's B&W = x
Then, color = x + 0.2x = 1.2x
We know color = 120, so:
1.2x = 120
x = 120 / 1.2 = 100
So, Bhavna's B&W = 100, color = 120
Total for Bhavna: 100 + 120 = 220
Bhavna and Chirag have the same number of B&W printouts:
Bhavna's B&W = 100, so Chirag's B&W = 100
Chirag's color = 180 (from ratio)
Total for Chirag: 100 + 180 = 280
Let's check the total printouts:
Aman: 200
Bhavna: 220
Chirag: 280
Total: 200 + 220 + 280 = 700 (matches given)
Summary of Printouts:
Aman:
B&W: 140
Color: 60
Total: 200
Bhavna:
B&W: 100
Color: 120
Total: 220
Chirag:
B&W: 100
Color: 180
Total: 280
Calculations:
Aman's B&W time: 40 seconds/printout
Aman's color time: 80 seconds/printout
Bhavna takes 80% of Aman's time for B&W printouts :
Bhavna's B&W time: 40 seconds × 0.8 = 32 seconds/printout
Bhavna takes 110% of Aman's time for color printouts :
Bhavna's color time: 80 seconds × 1.1 = 88 seconds/printout
Chirag takes 62.5% of Aman's time for all printouts:
Chirag's B&W time: 40 seconds × 62.5% = 25 seconds/printout
Chirag's color time: 80 seconds × 62.5% = 50 seconds/printout
Aman:
B&W printouts: 140 × 40 seconds = 5600 seconds
Color printouts: 60 × 80 seconds = 4800 seconds
Total time: 5600 + 4800 = 10400 seconds
Bhavna:
B&W printouts: 100 × 32 seconds = 3200 seconds
Color printouts: 120 × 88 seconds = 10560 seconds
Total time: 3200 + 10560 = 13760 seconds
Chirag:
B&W printouts: 100 × 25 seconds = 2500 seconds
Color printouts: 180 × 50 seconds = 9000 seconds
Total time: 2500 + 9000 = 11500 seconds
Time difference: 13760 seconds - 11500 seconds = 2260 seconds
Therefore, the time difference between Bhavna and Chirag to complete their tasks is 2260 seconds.
2260 seconds is equal to 37 minutes and 40 seconds.
Therefore, the correct answer is 37 min 40 sec.
Last updated on Jun 17, 2025
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