In three vessels of $10\mathrm{L}$ capacity, mixture of milk and water is filled. The ratio of milk and water are $2:1, 3:1,$ and $3:2$ in the respective vessels. If all the three vessels are emptied into a single large vessel, find the ratio of milk and water in the resultant mixture.

If $y$ varies directly with $x$ and the constant of variation is $20$, then value of $y$ for $x=6$ is

If $6$ men working $8 \mathrm{h}$ per day earn $₹1680$ per week, then amount earned by $9$ men working $6 \mathrm{h}$ per day per week is 

Two pipes can fill a tank in $3 \mathrm{h}$ and $4 \mathrm{h}$ separately and a drain pipe can empty it in $6 \mathrm{h}$. If tank is empty and all pipes are opened simultaneously, then number of hours to fill the whole tank is

Sita and Gita can do a piece of work in $15$ days and $30$ days, separately. They both work for $3$ days, then Gita withdraws. Number of days in which Gita completes the remaining work is 

A job has to be completed by $12$ boys in $15$ days. If three boys are absent from the first day, then by what percentage should the remaining boys increase their rate of working to complete the job?

Ravi and Prince contract for a work for $₹3000$. Ravi alone can do it in $12$ days. Prince alone can do it in $24$ days. With the help of Reena, they complete the work in $4$ days. The wages of Reena is

Ram can count $100$ notes of $₹100$ in $1$ min. Counting machine can do it in $20 \mathrm{s}$. If they work together, they will count $100$ notes in

A train, $130 \mathrm{m}$ long crosses a platform in $30 \mathrm{s}$ with a speed of $45 \mathrm{km}/\mathrm{h}$, length of platform is