Abhijit Guha Solutions for Chapter: Time, Work and Wages, Exercise 2: Practice Problems Level 2

A, B and C hold a common cyber cafe for which they pay $₹ 3,200$ per month. They put $70, 50$ and $40$ computer monitors respectively. A sells $\frac{1}{7}\mathrm{th}$ of his monitors to C after $4$ months and after $3$ months C sells $40$ per cent of his monitors to B. After one year A has to pay a rent of

There are $4$ machines ${\mathrm{M}}_1, {\mathrm{M}}_2, {\mathrm{M}}_3$ and ${\mathrm{M}}_4. {\mathrm{M}}_1$ and ${\mathrm{M}}_2$ can together finish a job in $20$ days. If ${\mathrm{M}}_3$ works twice as ${\mathrm{M}}_1$ and ${\mathrm{M}}_4$ works $\frac{1}{3}$ as much as ${\mathrm{M}}_2$ then the same order of work can be finished in $12$ days. The time by ${\mathrm{M}}_1$ alone to finish the job is

$8$ men and $12$ women get $₹ 3,200$ by doing a piece of work in $5$ days. $6$ men and $14$ women get $₹ 3,480$ by doing the same work in $6$ days. In how many days, $7$ men and $6$ women can complete the same work getting $₹ 7,520$ ?

Total wages for a work is $₹ 1,280$. A alone can do the piece of work in $8$ days while B alone can do it in $12$ days. If A and B work on alternate days, find the share of A.

$10$ men can do a piece of work in $12$ days. $36$ women can do the same in $5$ days. $3$ men and $3$ women started working together and worked for $20$ days. If the remaining work is to be completed in $4$ days, how many extra men is to be added to the existing strength?

C is $50$ per cent more efficient than A, and B takes half time compared to that of C. If C and A takes $2\frac{2}{5}$ days to complete the half of the work then find the time taken by C and B together to complete the whole work

$2$ men can complete a piece of work in $6$ days, $2$ women can complete the same piece of work in $9$ days whereas $3$ children can complete the same piece of work in $8$ days. $3$ women and $4$ children worked together for $1$ day. If only men were to finish the remaining work in a day, how many men will be required?

A man is $40$ per cent more efficient than a woman, and a child is $40$ per cent less efficient than a woman. $3$ men, $5$ women and $4$ children work for $7$ days to complete a job. How many days will $2$ men, $7$ women and $3$ children take to complete the same job?