Question

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

• A. $₹31x{y}^2$
• B. $₹21x{y}^2$
• C. $₹11x{y}^2$
• D. $₹13x{y}^2$

Answer 1

The correct option is C $₹11x{y}^2$

Money give by Rohan’s mother $=₹3x{y}^2$
Money given by his father $=₹5(x{y}^2+2)$
Total money given to him $=₹3x{y}^2+₹5(x{y}^2+2)$
$=₹(3x{y}^2+5x{y}^2+10)$
$=₹(8x{y}^2+10)$.
Money spent by him $=₹(10–3x{y}^2)$
Money left with him $=₹(8x{y}^2+10)–₹(10–3x{y}^2)$
$=₹(8x{y}^2+10–10+3x{y}^2)$
$=₹\left(11x{y}^2\right)$
Hence, the required money $=₹11x{y}^2$