Question

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 $1^{st}$ day joined the strike. If the number of workers on leave on both days were the same, then how many workers were on leave?

• A. 600
• B. 700
• C. 800
• D. 900

Answer 1

The correct option is D 900

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

Hence option (d)

Alternatively, go from answer options

$2^{nd}$ day number joining and number on leave should be the same

This happens only when the number of leave = 900

$2^{nd}$ day = $4\%of900-6\%of600=0$ . Option (d)