Find the third proportional to the numbers $4$ and $42$.

The ratio of the incomes of $A, B$ and $C$ is $3: 7: 4$ and the ratio of their expenditures is $4: 3: 5$. If in the income of $Rs. 2400$, $A$ saves $Rs. 300$, then the savings of $B$ and $C$ respectively are:

$A$ sum of money is to be distributed among $A, B, C, D$ in the proportion of $5: 2: 4: 3$. If $C$ gets $Rs. 1000$ more than $D$,what is $B$'s share (in $Rs.$)?

If $a: b = 3: 5$ and $b: c = 4: 7,$ then $a: c$ is equal to

If $B: A = 2: 3$ and $A: C = 5: 7$,then what is $(A + B) : (B + C)$?

$A$ sum of ₹ $1,300$ is divided amongst $P, Q, R$ and $S$ such that $\frac{P \text{'s share}}{Q \text{'s share}} = \frac{Q \text{'s share}}{R \text{'s share}} = \frac{R \text{'s share}}{S \text{'s share}} = \frac{2}{3}$. Then $P$'s share is (in ₹):