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02 Nov 2021, 02:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
64% (03:26) correct
36%
(03:01)
wrong
based on 188
sessions
History
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Not Attempted Yet
Jack's monthly remuneration includes a fixed salary and a fixed commission per consignment sold. This commission reduces by x% per consignment after the first 50 by another x% (on the 51-100 commission rate) after the first 100 consignments. In January, the remuneration was $4000 on sale of 30 consignments; in February, the remuneration was $6000 on sale of 50 consignments; in March, the remuneration was $7200 on sale of 70 consignments. If, in April, Jack sold 120 consignments, what shall be his remuneration?
A. $13000
B. $11400
C. $10200
D. $9720
E. $9400
A. $13000
B. $11400
C. $10200
D. $9720
E. $9400
03 Nov 2021, 01:56
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Let his base salary = s and his commission = c
January:\( s + 30c = 4000\)
February: \(s + 50c = 6000\)
Subtracting January's sum from February's sum yields: \(20c = 2000\)
\(c = 100\) and plugging that back into either will give \(s = 1000\)
March: \(s + 70c = 7200\)
As there is a drop of x% in commission after the 50th item sold, we can subtract February's sum from March's sum to solve for x.
Subtracting February's sum from March's sum: \(20c = 1200\)
\(c = 60\)
As the commission went down from 100 to 60 per item sold, there is a 40% drop. \(x = 40\) Which means that the commission for after 100 items sold will be: \(60 * 0.6 = 36\)
April: Taking March's total, which covers 70 items sold, then adding 30*60 to cover up until the 100th item sold and then finally adding 20*36 to cover the final 20 items sold over 100 will give us his remuneration for April.
\(7200 + (30*60) + (20*36)\)
\(= 7200 + 1800 + 720\)
\(= 9720\)
Answer D
January:\( s + 30c = 4000\)
February: \(s + 50c = 6000\)
Subtracting January's sum from February's sum yields: \(20c = 2000\)
\(c = 100\) and plugging that back into either will give \(s = 1000\)
March: \(s + 70c = 7200\)
As there is a drop of x% in commission after the 50th item sold, we can subtract February's sum from March's sum to solve for x.
Subtracting February's sum from March's sum: \(20c = 1200\)
\(c = 60\)
As the commission went down from 100 to 60 per item sold, there is a 40% drop. \(x = 40\) Which means that the commission for after 100 items sold will be: \(60 * 0.6 = 36\)
April: Taking March's total, which covers 70 items sold, then adding 30*60 to cover up until the 100th item sold and then finally adding 20*36 to cover the final 20 items sold over 100 will give us his remuneration for April.
\(7200 + (30*60) + (20*36)\)
\(= 7200 + 1800 + 720\)
\(= 9720\)
Answer D
