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Given below the data about three employees of a call center named ZINTOCA. In the given table, data about calls received by them, calls selected for further lead and calls finally received is given:
A B C
Initial calls(% out of total calls) 40% 30% 30%
Lead calls (% out of initial calls) 80% x% 88%
Final received calls(% out of lead calls) 90% 80% y%
Total number of initial calls in the company is 24000 and total number of calls not received by company C is 4464 less than the total number of calls received by company A. Find the value of y
70
75
85
90
None of the above
- Total initial calls are 24,000. Employee A handles 40% of them, equaling 9,600 calls. Employee B and C handle 30% each, equaling 7,200 calls each.
- For A, 80% of 9,600 initial calls become lead calls: \(0.8 \times 9600 = 7,680\).
- For A, 90% of 7,680 lead calls become final received calls: \(0.9 \times 7680 = 6,912\).
- Calculating calls not received by C: 30% of initial calls are \(7,200\) for C. 88% of these move to lead calls: \(0.88 \times 7200 = 6,336\).
- Difference noted: Calls not received by C are 4,464 less than A’s calls received: Calls not received = \(7200 - 6336 \times (y\%) = 4464\).
Rearrange to find \(y\):
$$
7200 - (6336 \times (y/100)) = 2464
6336 \times (y/100) = 4736
(y/100) = 4736 / 6336
y = (4736/6336) \times 100 = 74.7\approx 75
Answer: Option:2, 75
By: Parvesh Mehta ProfileResourcesReport error
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