A student purchased a computer system and a colour printer. If he sold the computer system at 10% loss and the colour printer at 20%gain, he would not lose anything. But if he sells the computer system at 5% gain and the colour printer at 15% loss, he would lose ₹800 in the bargain. How much did hepayfor the colour printer?

Let cost price of color printer = Rs. $$100x$$ and C.P of computer system = Rs. $$100y$$

Case 1 : SP of color printer when sold at 20% profit = Rs. $$120x$$

Similarly, SP of computer system = Rs. $$90y$$

According to ques, => $$100x+100y=120x+90y$$

=> $$10y=20x$$

=> $$y=2x$$ -----------------(i)

Case 2 : SP of color printer at 15% loss = Rs. $$85x$$

SP of computer system = Rs. $$105y$$

=> Loss = $$(100x+100y)-(85x+105y)=800$$

=> $$15x-5y=800$$

=> $$3x-y=160$$

Substituting value from equation (i), => $$x=160$$

$$\therefore$$ Cost Price of color printer = Rs. 16,000

=> Ans - (A)