If a man sells a pen at 24% profit and pencil at 54% profit, he earns Rs. 1960.2 as profit. But if he sells the pen at 11$\frac{1}{9}$% and pencil at 14$\frac{2}{4}$% loss then he bears no profit no loss. Find the cost price of the pencil and the pen.

2310, 2970

pen × 11$\frac{1}{9}$% profit = pencil × 14$\frac{2}{7}$% loss

  ratio of                   Pen         :      Pencil

                                 14$\frac{2}{7}$%     :          11$\frac{1}{9}$

                                   $\frac{1}{7}$          :           $\frac{1}{9}$

CP                               9         :          7

 Let Make this ratio       900      :       700

pen at 24% profit = 900R × $\frac{24}{100}$   = 216R

pencil at 54% profit = 700R × $\frac{54}{100}$ = 378R

According to question , 216R + 378R =  1960.2

594R = 1960.2

1R = 3.3

Cost price of pen = 900 × 3.3 = 2970

Cost price of pencil = 700 × 3.3 = 2310

Hence, cost price of pencil and pen is 2310 and 2970 respectively.