The total cost of a microwave oven with mixer was Rs 36750. The mixer was sold at a profit of 32% and the microwave oven at a loss of 22%. If the sale price was the same in both the items, then the cost price of the cheaper item was ..............

Let cost price of microwave oven = $$Rs. 100x$$

=> Cost price of mixer = $$Rs. (36,750 - 100x)$$

Selling price of  mixer (32% profit) = Selling price of microwave oven (22% loss)

=> $$\frac{132}{100} \times (36,750 - 100x) = \frac{78}{100} \times 100x$$

=> $$48510 - 132x = 78x$$

=> $$x = \frac{48510}{210} = 231$$

=> Cost price of microwave oven = $$100 \times 231 = Rs. 23,100$$

=> Cost price of mixer = $$36,750 - 23,100 = Rs. 13,650$$

$$\therefore$$ Mixer is cheaper with cost price = Rs. 13,650