Ratio problem

Question

Question:

As part of reconstructing excercise,a company reduced its work force by 30%.However,to motivate the remaining employees,a wage hike was given,The wages,on an average,increased in the ratio of 25:28.If the present wage bill per month is 4,90,000 what was the wage bill prior to the downsizing followed by the rise.

please help me out to solve this.

shilpiruchi · Answer

Ok. Lets take it step by step! Lets assume the original work force = 1000 ppl. Therefore, o riginal wage bill = 1000 X Original Wage per person Now since downsizing was 30% New workforce = 700 (1000-300) Again, New wage bill for the company = 700 X New Wage per person But this is given as $ 4,90,000 So. $4,90,000 = 700 X New Wage per person New Wage per person = $700 Now the wages increased in the ratio of 25:28, which simply put means the ratio of the Old Wage to the New Wage is 25:28 => New/Old =25/28 => Old = 25/28(700) => Old Wage per person = $625 But wait, the question asks for the wage Original Wage bill Therefore the ans is 1000 X 625 = $6,25,000 Confirm -> The ratio of the Old and New Wages -> $625/$700 = 25/28 & The New Wage bill -> $700 X 700 ppl = 4,90,000 Both are correct as per the question stem! Score !!! Hope it helped 8-)

MBAhereIcome · Answer

ration of wage before:after = 25x : 28x
28x = 490,000 OR x = 17,500

wage before the hike = 25x
wage before layoffs =  \frac{25x}{0.7}  (25x is 70% of wage before layoffs)
=  \frac{25*17500}{0.7}

625,000

Spidy001 · Answer

Workers Wage

W 25x

(70W)/100 28X

W*25X = ?

we were given current overall wage = 490000

=>((70W)/100)*28X = 490000
=> WX = 100000/4

=> wage bill prior to downsizing = 25WX = 625000

Ratio problem

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