Question
The average wage of a group of 20 labourers is Rs. 450.
If 4 persons receiving average wage of Rs. 500 leave the group and 2 persons receiving average wage of Rs. K join the group, then the average wage of the group increases by Rs. 45. Find the value of ‘K’.Solution
Total wage of 20 labourers in the initial group = 20 × 450 = Rs. 9000 New average wage of the group = 450 + 45 = Rs. 495 New number of labourers in the group = 20 – 4 + 2 = 18 So, according to the question, 9000 – 4 × 500 + 2K = 495 × 18 Or, 9000 – 2000 + 2K = 8910 Or, 7000 + 2K = 8910 Or, 2K = 8910 – 7000 = 1910 Or, K = (1910/2) = 955
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