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31 Mar 2026, 09:25
Kudos
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B
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:
43% (02:48) correct
57%
(02:43)
wrong
based on 28
sessions
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Not Attempted Yet
Syncom sells two types of laptops: student laptops and professional laptops. The price of a professional laptop is 50 percent greater than the price of a student laptop. Last year, professional laptops accounted for 75 percent of Syncom’s total laptop revenue. If next year the number of student laptops sold increases by 12 percent and the number of professional laptops sold increases by 3 percent, by what percent will the total number of laptops sold increase?
(A) 5%
(B) 6%
(C) 7.5%
(D) 9%
(E) 15%
(A) 5%
(B) 6%
(C) 7.5%
(D) 9%
(E) 15%
10 Apr 2026, 10:33
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kevincan
\(s =\) student laptop price
\(p =\) professional laptop price
\(x =\) # of professional laptops
\(y =\) # of student laptops
\(p = 1.5s\),hence revenue from Professional laptops\( = 1.5s*x\), and revenue from student laptops \(= sy\)
Total revenue \( = 1.5s*x +sy\)
Last year it is given:
1\(.5s*x= \frac{75}{100}(1.5sx + sy )\)
\(1.5x=3y\),\(\hspace{2mm}\) \(x= 2y\)
Let \(y = 10,\) then \(x =20\)
Next year # of students laptops \(= 1.12 *10 = 11.2\)
Next year # of professional laptops \(= 1.03*20 =20.6\)
Increase in the # of laptops\( = (11.2+20.6) - (10+20)= 31.8 - 30= 1.8\)
\(\%\) increase \(= \frac{1.8}{30}*100 = 6\%\)
Ans B
Hope it helped.
