| A trader purchases a watch and a wall clock of Rs. 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earns a profit of Rs. 51.50. The difference between the original prices of the wall clock and the watch is equal to [NICL (AO) 2015] |
A) Rs. 80
B) Rs. 100
C) Rs. 110
D) Rs. 120
E) Rs. 150
Correct Answer: C
Solution :
| Let the CP of watch be Rs. x. |
| \[\therefore \] CP of a wall clock \[=Rs.\,\,(390-x)\] |
| Now, according to the question, |
| 10% of \[x+50%\] of \[(390-x)=51.50\] |
| \[\Rightarrow \] \[\frac{x\times 10}{100}+\frac{(390-x)\times 15}{100}=51.50\] |
| \[\Rightarrow \] \[10x+5850-15x=5150\] |
| \[\Rightarrow \] \[-\,5x=-700\]\[\Rightarrow \]\[x=140\] |
| \[\therefore \] CP of watch = Rs. 140 and CP of wall clock |
| \[=Rs.\,\,(390-140)=Rs.\,\,250\] |
| \[\therefore \] Difference between their prices |
| \[=250-140=Rs.\,110\] |
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