Question: 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, he would not lose anything. But if he sells the computer system at 5% gain and the colour printer at 15% loss, he would lose Rs. 800 in the bargain. How much did he pay for the colour printer?
Options:
A) Rs. 9000
B) Rs. 16000
C) Rs. 8000
D) Rs. 5334
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Answer:
Correct Answer: B
Solution:
- Let the CP of computer be Rs. C and that of printer be Rs. P. Then, SP in first case $ =0.9C+1.2P $
There is no gain or no loss, hence
$ C+P=0.9C+1.2P $
$ \Rightarrow $ $ 0.1C=0.2P $
$ \Rightarrow $ $ C=2P $
(i)
In second case, $ SP=1.05C+0.85P $
Since, there is a loss of Rs. 800 in the bargain,
$ 0.9C+1.2P-(0.85P+1.05C)=800 $
$ \Rightarrow $ $ 0.3P-0.15C=800 $
$ \Rightarrow $ $ 0.3P-0.35P=800 $ [from Eq.(i)]
$ \Rightarrow $ $ P=Rs\text{.}16000 $