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 $Rs.$)?

Two candles of the same height are lighted at the same time. The first is consumed in $8 \text{ hours}$ and the second in $6 \text{ hours}$. Assuming that each candle burns at a constant rate,in how many hours after being lighted,the ratio between the height of the first and second candles becomes $2:1$?

Two numbers are in the ratio of $5: 8$. If $12$ is added to each,they are in the ratio of $3: 4$. Find the sum of the two numbers.

The price of a diamond is directly proportional to the square of its weight. $A$ man accidentally broke the diamond into three pieces in the ratio of $3:5:7$ and thus lost ₹ $42600$. What was the original price (in ₹) of the diamond?

If $6 A = 11 B = 7 C$,find $A : B : C$.

The ratio of $4^{3.5} : 2^{5}$ is the same as: