Question 94

The number of employees working in a firm is increased by 14% and the wages per head are decreased by 14%. If it results in x% decrease in total wages, then find the value of x.

Solution

Let number of employees in the firm initially = 100 and wages per head = Rs. 100

=> Total wages = $$100\times100=Rs.$$ $$10,000$$

Number of employees after decrease of 14% = $$100-\frac{14}{100}\times100=86$$

Similarly, new wages per head = $$Rs.$$ $$114$$

=> New wages = $$86\times114=Rs.$$ $$9804$$

$$\therefore$$ Decrease in total wages = $$\frac{10000-9804}{10000}\times100=1.96\%$$

=> Ans - (D)

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