Question
Mathematics Question on Profit and Loss
A student purchased a computer system and a colour printer. If he sold the computer system at 10% loss and the colour printer at 20% gain, ho would not lose anything. But if he sells the computer system at 5% gain and the colour printer at 15% loss, he would lose 2800 in the bargain. How much did he pay for the colour printer?
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A
₹ 16000
B
₹ 8000
C
₹ 9000
D
₹ 5334
Answer
₹ 16000
Explanation
Solution
Cost price of comp system = Rs. A
Cost Price of color printer = Rs. B
0.9 A + 1.2 B= A + B
0.2 B = 0.1 A
A = 2B
(A+ B) - (1.05A + 0.85B) = 800
(2B + B) - (2.10B + 0.85 B) = 800
3B - 2.95 B = 800
0.05 B = 800
B =5800×100
= 16, 000.
So the correct option is (A)