Allowing $20 \%$ and $15 \%$ successive discounts,the selling price of an article becomes $Rs. 3,060$. Then the marked price will be (in $Rs.$):

$A$ man invests $Rs. 21,000$ in shares of a company. He sells one-third of the total shares at a profit of $10\%$. However,he has to sell the remaining shares at a $5\%$ loss. Find his overall profit or loss percentage.

$Mr.$ $A$ sold goods to $Mr.$ $B$ at a $10\%$ discount on the printed rate. The discounted value is $Rs. 1242$. If a $15\%$ profit is earned on the purchase rate by selling the goods at the printed rate,what is the purchase rate? (in $Rs.$)

Raman,Manan,and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}$ of the total and Manan invests $\frac{3}{8}$ of the total. What is the ratio of profits of Raman,Manan,and Kamal respectively?

Savita buys $5$ shirts and $10$ pants for $Rs. 1600$. She sells shirts at a profit of $15\%$ and pants at a loss of $10\%$. If her overall profit was $Rs. 90$,what was the cost price of a shirt and a pant in $Rs.$?

$A$ person sells two articles,each for $Rs. 1040$. He incurs $20 \%$ loss on the first and $10 \%$ loss on the second. Find out the overall percent loss.