A bought a bag and a bottle for a total on ₹900. He sold the bottle at a profit of 12% and the bag at a profit of 20%. If he earned a total profit of ₹160.80, then calculate the cost price of the bottle.

₹240

Cost price of bag and bottle = 900

Bottle profit = 12%

Bag profit = 20%

Overall profit = 160.80

Overall profit = 160.80 × \(\frac{100}{900}\) = \(\frac{268}{15}\) %

Applying alligation,

                              12%                      20%

                                       \(\frac{268}{15}\) %    

Multiply 15 in both 12% and 20% for eliminating 15 from \(\frac{268}{15}\) %

                              180%                      300%

                                            268%    

                               32                          88

Total = 32 + 88 = 126

120x = 900

32x = 240