| 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? |
A) Rs. 9000
B) Rs. 16000
C) Rs. 8000
D) Rs. 5334
Correct Answer: B
Solution :
| Let the CP of computer be Rs. C and that of printer be Rs. P. Then, SP in first case \[=0.9\,\,C+1.2P\] |
| 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)] |
| \[\Rightarrow \]\[P=\text{Rs}\text{.}\,\,16000\] |
You need to login to perform this action.
You will be redirected in
3 sec
