₹ $120$ is divided among $6$ men, $8$ women and $6$ boys so that a man gets as much as $2$ boys and $2$ women get as much as $3$ boys. Find the share of a boy (in ₹).

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

If $378$ coins consist of $Rs. 1$,$50$ paise,and $25$ paise coins whose values are in the ratio of $13: 11: 7$,the number of $50$ paise coins will be:

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

In an army selection process,the ratio of selected to unselected candidates was $5:1$. If $100$ fewer candidates had applied and $20$ fewer had been selected,the ratio of selected to unselected candidates would have been $6:1$. How many candidates had applied for the process?

The ratio of the income to the expenditure of a family is $10:7$. If the family's expenses are $Rs. 10500$,then the savings of the family is (in $Rs.$):