Hitesh is $40$ years old and Ronnie is $60$ years old. How many years ago was the ratio of their ages $3:5$?

Annual income of Amit and Veer are in the ratio $3:2$,while the ratio of their expenditures is $5:3$. If at the end of the year each saves ₹ $1,000$,the annual income of Amit is (in ₹):

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

One year ago,the ratio between Ram's and Shyam's salaries was $3:5$. The ratios of their individual salaries of last year to the present year are $2:3$ and $4:5$ respectively. If their total salary for the present year is $Rs. 8600$,find the present salary of Ram (in $Rs.$)?

If $3P = 2Q$ and $2Q = 3R$,then what is $P:Q:R$?

When $X$ is subtracted from the numbers $9, 15$ and $27$,the remainders are in continued proportion. What is the value of $X$?