Question

Rohan’s mother gave him ₹ $3x{y}^2$ and his father gave him ₹5($x{y}^2$ + 2). Out of the total amount, he spent $₹(10-3x{y}^2)$ on his birthday party. How much money is left with him?

• A. $x{y}^2$
• B. $-x^{2}y$
• C. $11x{y}^2$
• D. $xy$

Answer 1

The correct option is C $11x{y}^2$

Amount Rohan’s mother gave him $=Rs.3x{y}^2$

Amount given by his father $=Rs.5(x{y}^2+2)$

Total amount given to him =₹3xy$y^2$+5(xy$y^2$ + 2)

$=₹.[3x{y}^2+5(x{y}^2+2\left)\right]$

$=₹.[3x{y}^2+5x{y}^2+10]$

$=₹.[8x{y}^2+10]$

Amount spent by him $=₹(10–3x{y}^2)$

Amount left with him $=₹(8x{y}^2+10)-Rs.(10-3x{y}^2)$

$=₹(8x{y}^2+10-10+3x^{2}y)$

$=₹\left(11x{y}^2\right)$

Hence, the amount left with him
₹(11x$y^2$).