$A$ person earns $15 \%$ on an investment but loses $10 \%$ on another investment. If the ratio of the two investments is $3:5$,what is the gain or loss percentage on the two investments taken together (in $\%$)?

Find $CP$ when $SP = Rs. 40.60$ and $\text{gain} = 16\%$.

$A$ trader buys $500 \, kg$ of cotton for $Rs. 9,000$. $10 \%$ of this cotton is spoiled due to rain. At what rate $(Rs./ kg)$ should he sell the rest to earn $10 \%$ profit?

$A$ person purchased a saree for $Rs. 7710$ after availing a net discount of $Rs. 1285$. The percentage of discount,the saree shop offers,is

$A$ vendor buys bananas at $9$ for $Rs. 8$ and sells at $8$ for $Rs. 9$. What will be the profit or loss (in $\%$)?

Abhishek purchased $140$ shirts and $250$ trousers at $Rs. 450$ and $Rs. 550$ respectively. What should be the overall average selling price of shirts and trousers so that $40 \%$ profit is earned? (in $Rs.$) (rounded off to the next integer)