WORKSHEET ( Based on Chapters 1 to 8 )

How much does $-5a^2+3a-5b^2$ exceed $7a^2+4a-9b^2$?

Find the value of $4x^4+x^3+x{y}^2-y^3+6$ for $x=-2 \mathrm{and} \mathrm{y}=5$.

Solve the following equation.
$3-2(x-2) = 5(2x-3)-2(3x-1)$

The population of a town increases $8\%$ annually. If its present population is $1,26,360$. What was it a year ago?

Kapil donates $12$$\frac{1}{2}\%$ of his salary and gives the balance to his wife for meeting the household expenses. If he gives $₹14,700$ to his wife, find his total salary.

A sum of money doubles itself in $16$ years at a simple interest. In how many years will it treble itself?

Vipin’s age in $15$ years will be $5$ less than three times his age now. What will be his age now and $20$ years from now?

A shopkeeper bought $2,000 \mathrm{m}$ of fabric at the rate of $₹40 \mathrm{per} \mathrm{m}$. He paid $₹4,000$ as transportation cost. Find his profit or loss per cent if he sold it for $₹48 \mathrm{per} \mathrm{m}$.