Partnership & Work and wages problems tricks

Partnership & Work and wages | fast track problems short-tricks

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WORK AND WAGES PROBLEMS TRICKS IN HINDI

Work and wages problems tricks in Hindi | fast track formulae for problem solving.

1). Total wages = total days × wage of one day

2). If X, Y and Z can do work in d_1, d_2 and d_3 days, then the ratios of their wages is =

    \[d_2 d_3 : d_3 d_1 : d_1 d_2\]

3). If A and B can do a piece of work in x and y days, and their salaries are in the ratio y : x, then the wages of A and B are respectively

    \[A=y\left[\frac{\text{total wage}}{\left(x+y\right)}\right]\]

    \[B=x\left[\frac{\text{total wage}}{\left(x+y\right)}\right]\]

4). If A, B, and C can do a piece of work in x, y, and z days, and their salaries are in the ratio yz : xz: xy, then the wages of A, B, and C are respectively

    \[A = yz \left[\frac{\text{total wages}}{\left(yz : xz : xy\right)}\right]\]

    \[B = zx\left[\frac{\text{total wages}}{\left(yz : xz : xy\right)}\right]\]

    \[C = xy \left[\frac{\text{total wages}}{\left(yz : xz : xy\right)}\right]\]

5). Total salary earned by a certain person by doing a certain job = (wage of 1 person of 1 day) × (numbers of persons) × (numbers of days)
then the number of persons required =

    \[\frac{\text{total wages}}{(\text{wage of 1 person of 1 day})\times (\text{numbers of days})}\]

6). A can do a piece of work in x days, and with the help of B, A can do a piece of work in y days, then A’s share and B’s share, if they get ₹ a.

    \[\text{A's shares} = \frac{ay}{x}\]

    \[\text{B's shares} = \frac{a (x - y)}{x}\]

7). If X, Y, Z carry a fleet to do a given work for ₹ R if both X and Y together can do only m/n part of the whole work, and Z alone does the rest, then the share of Z

    \[\frac{R (n - m)}{n}\]

PARTNERSHIP PROBLEMS TRICKS IN HINDI

Partnership problems tricks in Hindi | fast track formulae for problem solving.

1). Ratio of the amount invested by partnership = Ratio of profit share

2). If some persons do business in partnership by investing different sums of money P_1, P_2, P_3 ... at different times t_1, t_2, t_3 ..., then the ratio of their profits

    \[P_1t_1: P_2t_2: P_3t_3: ...\]

3). If the ratio of profits of the partnership is x : y : z, then the ratio of theirs time in investment

    \[\frac{x}{p_1} : \frac{y}{p_2} : \frac{z}{p_3} : ...\]

And ratio of theirs sums

    \[\frac{x}{t_1} : \frac{y}{t_2} : \frac{z}{t_3} : ...\]

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