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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%
If the total number of calls not received by A and received by B is 224 and 432 respectively. Find the value of x.
80
75
90
85
None of the above
- Let's assume the total number of calls is \( T \).
- Initial Calls for A: 40% of \( T \).
- Lead Calls for A: 80% of A's initial calls.
- Final Calls for A: 90% of A's lead calls.
- Calls not Received by A: Initial calls - Final calls. Given as 224.
- Initial Calls for B: 30% of \( T \).
- Lead Calls for B: \( x\% \) of B's initial calls.
- Final Calls for B: 80% of B's lead calls. Given as 432.
Let's set up the equations:
- For A: \((0.4T) - (0.4T \times 0.8 \times 0.9) = 224\).
- Solve for \( T \): \( 0.4T - 0.288T = 224 \) or \( 0.112T = 224 \) therefore, \( T = 2000 \).
- For B: \( 0.3T \times (x/100) \times 0.8 = 432 \)
- Substituting \( T = 2000 \), we get: \( 600x \times 0.8 = 43200 \)
- So, \( x = 90 \).
- The Correct Answer is Option:3, 90
By: Parvesh Mehta ProfileResourcesReport error
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