CAT 1991 — QA Question 14
Man Days (single group of people)Easy
Alord got an order from a garment manufacturer for 480 Denim Shirts. He brought 12 sewing machines and appointed some expert tailors to do the job. However, many didn’t report to duty. As a result, each of those who did, had to stitch 32 more shirts than originally planned by Alord, with equal distribution of work. How many tailors had been appointed earlier and how many had not reported for work?
Answer & solution
Correct answer: 10, 4
- A
12, 4
- B
10, 3
10, 4
- D
None of these
Solution
Let x be the number of tailors initially appointed.
Let n be the number of shirts that had to be stitched by each tailor initially.
Let y be the number of tailors who did not come.
x × n = 480.
(x – y)(n + 32) = 480
Only option (c) satisfies the equation.
Hence, option (c).