In a factory, a part of the 1500 employees reported for the work while others we

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In a factory, a part of the 1500 employees reported for the work while others were on leave. The next day,

4 %

of the workers who were on leave on the first day reported for the work and

6 %

of the workers who came on the

1^{s t}

day joined the strike. If the number of workers on leave on both days were the same, then how many workers were on leave?

Options:

A . 600

B . 700

C . 800

D . 900

Answer: Option D
:
D
Let workers on leave: present workers = x: y.
0.04x come to work and 0.06y take leave on the second day. As there will be no difference in value of x and y after this exchange: 0.04x = 0.06y
x: y = 6: 4 or 3: 2.
Number of workers on leave

= (\frac{3}{5}) \times 1500 = 900

Hence option (d)
Alternatively, go from answer options

2^{n d}

day number joining and number on leave should be the same
This happens only when the number of leave = 900

2^{n d}

day =

4 % o f 900 - 6 % o f 600 = 0

. Option (d)

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