Question

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Answer 1

Step-by-step explanation:

Ans 1. Solution:

a/b = 2/3, b/c = 4/5 & c/d = 6/7

=> a= 2b/3, b = 4c/5 & c = 6d/7 ---(i)

=> b = 4c/5 = (4/5)(6d/7) ---(ii) from (i)

=>a = 2b/3=(2/3)(4/5)(6d/7)---(iii) from (ii)

a:b:c:d = (2/3)(4/5)(6d/7):(4/5)(6d/7): 6d/7 : d = (2*4*6)/(3*5*7): (4*6)/(5*7):6/7:1=(2*4*6*2)/(3*5*7): (4*6)/(5*7):6/7:1

=> a:b:c:d = 2*4*2: (4*6)*(5*7)/(5*7):6*(5*7)/7:1*5*7---multiply by 5*7

=> a:b:c:d = 16: 24:30:35

ans 2

.It would pay Rs 1.2 lakhs for 5 workers for 12 days.

Explanation:

Let M= Money paid to workers ( in lakhs)

W= Number of workers

D= Number of days

Here , M α W but W\alpha\dfrac{1}{D}Wα

D

1

So the required equation is :W_1M_2D_1=W_2M_1D_2W

1

M

2

D

1

=W

2

M

1

D

2

Put M_1=6,\ W_1=15,\ D_1=20M

1

=6, W

1

=15, D

1

=20 and \begin{gathered}W_2=5,\ D_2=12\\\end{gathered}

W

2

=5, D

2

=12

, we get

\begin{gathered}15\times M_2\times20=5\times6\times12\\\\\ M_2=\dfrac{5\times6\times12}{15\times20}=1.2\end{gathered}

15×M

2

×20=5×6×12

M

2

=

15×20

5×6×12

=1.2

Hence, It would pay Rs 1.2 lakhs for 5 workers for 12 days.