When the price of sugar decreases by $10 \%$,a man can buy $1 \text{ kg}$ more for $₹ 270$. What is the original price of sugar per $\text{kg}$?

In a recent survey,$40 \%$ of houses contained two or more people. Of those houses containing only one person,$25 \%$ had only a male. What is the percentage of all houses that contain exactly one female and no males (in $\%$)?

In an examination,$70 \%$ of the candidates passed in English,$80 \%$ passed in Mathematics,and $10 \%$ failed in both subjects. If $144$ candidates passed in both,the total number of candidates was:

$A, B$ and $C$ start a business by investing $Rs. 70000$ that earns them a profit of $Rs. 42000$ at the end of the year. $A$ invests his share in the profit in a scheme that gives $10\%$ interest compounded annually and $B$ invests his share in a scheme that gives $20\%$ interest compounded annually. $A$ gets $Rs. 2520$ as interest at the end of $2$ years and $B$ gets an interest of $Rs. 4200$ at the end of one year. Find $C$'s investment in the business.

Ram scored $30 \%$ marks and failed by $15$ marks. Aditya scored $40 \%$ marks and obtained $35$ marks more than those required to pass. What is the pass percentage (in $\%$)?

$x \%$ of $y + ? \%$ of $x = x \%$ of $(x + y)$