A profit of 12% is made when a mobile phone is sold at Rs. P and there is 4% loss when the phone is sold at Rs. Q. Then Q : P is = ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{CP}} = {\text{P}} \times \frac{{100}}{{112}} \cr & {\text{CP}} = {\text{Q}} \times \frac{{100}}{{96}} \cr & \frac{{{\text{P}} \times 100}}{{112}} = \frac{{{\text{Q}} \times 100}}{{96}} \cr & {\text{P}}:{\text{Q}} = 112:96 \cr & {\text{P}}:{\text{Q}} = 56:48 \cr & {\text{P}}:{\text{Q}} = 7:6 \cr & {\text{Q}}:{\text{P}} = 6:7 \cr} $$