The total cost of a washing machine with an electric chimney was Rs 57,750. The electric chimney was sold at a profit of 34% and the washing machine at a loss of 24%. If the sale price was the same in both the items, then the cost price of the cheaper item was _______.

Let cost price of washing machine = $$Rs. 100x$$

=> Cost price of chimney = $$Rs. (57,750 - 100x)$$

Selling price of chimney (34% profit) = Selling price of washing machine (24% loss)

=> $$\frac{134}{100} \times (57,750 - 100x) = \frac{76}{100} \times 100x$$

=> $$77385 - 134x = 76x$$

=> $$x = \frac{77385}{210} = 368.5$$

=> Cost price of washing machine = $$100 \times 368.5 = Rs. 36,850$$

=> Cost price of cooker = $$57,750 - 36,850 = Rs. 20,900$$

$$\therefore$$ Cooker is cheaper with cost price = Rs. 20,900