| When an article was sold for Rs. 696, per cent profit earned was P%. When the same article sold for Rs. 841 per cent profit earned was \[(P+25%).\] What is the value of P? [IBPS RRB (Office Assistant) 2015] |
A) 10%
B) 25%
C) 15%
D) 20%
E) 30%
Correct Answer: D
Solution :
| Let the CP be Rs. x. |
| Then, according to the question, |
| \[P=\frac{696-x}{x}\times 100\] ... (i) |
| \[P+25=\frac{841-x}{x}\times 100\] (ii) |
| On subtracting Eq. (ii) and (i), we get |
| \[25=\frac{84100-100x-69600+100x}{x}\] |
| \[\Rightarrow \] \[25=\frac{14500}{x}\]\[\Rightarrow \]\[x=\frac{14500}{25}=580\] |
| \[\therefore \] Cost price is Rs. 580 and selling price is Rs. 696. |
| \[\text{profit }\!\!%\!\!\text{ =}\frac{696-580}{580}\times 100=\frac{116}{580}\times 100=20%\] |
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