Rajan and Manu went to a market. Rajan bought 3 erasers and 5 pens for Rs 105 and Manu bought 4 erasers and 6 pens for Rs 130. What is the price of one eraser?

Let price of 1 eraser = Rs. $$x$$ and price of 1 pen = Rs. $$y$$

According to ques, => $$3x+5y=105$$ ---------------(i)

and $$4x+6y=130$$

$$\equiv2x+3y=65$$ ------------(ii)

Now, multiplying equation (i) by 2 and equation (ii) by 3 and subtracting them : $$2(i)-3(ii)$$

=> $$10y-9y=210-195$$

=> $$y=15$$

Substituting it in equation (ii), we get : $$2x+3(15)=65$$

=> $$2x=65-45=20$$

=> $$x=\frac{20}{2}=10$$

Thus, price of 1 eraser is Rs. 10

=> Ans - (C)