Alex went for shopping with $5 x^{2} + 3 x y - y^{3}$ rupees. He bought a toy for $2 x^{2} + x y$ rupees and spent $2 x y - y^{3}$ rupees on a meal. How much money is he left with?

3 x^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

7 x^{2} + 6 x y - 2 y^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7 x^{2} + 2 x y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 x^{2} + 4 x y - 2 y^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $3 x^{2}$
Total money which Alex had $= 5 x^{2} + 3 x y - y^{3}$
Money spent on buying the toy $= 2 x^{2} + x y$
Money spent on meal
$= 2 x y - y^{3}$

Total money spent
$= (2 x^{2} + x y) + (2 x y - y^{3})$
$= 2 x^{2} + 3 x y - y^{3}$

Now, money left = Total money – Money spent

Hence, money left
$= (5 x^{2} + 3 x y - y^{3}) - (2 x^{2} + 3 x y - y^{3})$
$= 5 x^{2} + 3 x y - y^{3} - 2 x^{2} - 3 x y + y^{3}$
$= 5 x^{2} - 2 x^{2} + 3 x y - 3 x y - y^{3} + y^{3}$
$= 3 x^{2}$

So, the money that is left with Alex is $3 x^{2}$ rupees.

Suggest Corrections

Similar questions

Azad bought toys worth rupees 75000 for his toy shop. He spent some money on transportation, rent for his shop, and salary for the salesman . If he made a profit of 10% on his real expenses (cost+overhead expenses) which were rupees 9000 calculate how overhead expenses.

Q. Shekhar has 32 rupees. He bought a ball for 17 rupees. How much money is left with him?

Q. Fantoosh had 64 rupees. He spent 39 rupees at the fair. How much money is left with him?

As a boy toys worth rupees 75000 for his toy shop. He sent some money on transportation, rent for shop, and the salary for the salesman. If he made a profit of 10% on his real expenses( cost+ overhead expenses), was rupees 9000, calculate his overhead expenses.

Q. A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a begger waiting outside the shop. She spent half of what was left on a lunch and followed that up with a two rupee tip. She spent half of the remaining amount on book and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?

Join BYJU'S Learning Program

Alex went for shopping with 5x2+3xy−y3 rupees. He bought a toy for 2x2+xy rupees and spent 2xy−y3 rupees on a meal. How much money is he left with?

Alex went for shopping with $5 x^{2} + 3 x y - y^{3}$ rupees. He bought a toy for $2 x^{2} + x y$ rupees and spent $2 x y - y^{3}$ rupees on a meal. How much money is he left with?