Question

Mr. singh is paid as per the number of hours he puts in per month. the rate of pay was increased by 20% per hour, but the number of hours put in by him went down by20%. what is the percentage increase/decrease in his income?

Answer 1

let's assume his amount of work done is X hours and amount of wage he gets is rsY per hour.Now INCOME = WORK DONE * WAGES        ORIGINAL  = rsXYnow there is a change in both wage and work done
decrease by 20% for work done,which means .80X (X-20%X)
increase by 20% for the wage,which means 1.2Y(Y=20%Y)NEW=.8X*1.2Y=.96XYone can clearly see the difference is of 4%

Answer 2

Answer:

4% decrease

Step-by-step explanation:

Let work done be x

Let wage be y

Income initially = work(no. of hours) * wage = xy

Income after the changes = 0.8x(x-20x/100) * 1.2y(y+20y/100) = 0.96 xy (xy-4xy/100)

Result: Change of 0.4 viz 4% decrease