Question
The average wage of a group of 49 labourers is Rs. 650.
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. 46. Find the value of ‘K’.Solution
Total wage of 49 labourers in the initial group = 49 × 650 = Rs. 31850 New average wage of the group = 650 + 46 = Rs. 696 New number of labourers in the group = 49 – 4 + 2 = 47 So, according to the question, 31850 – 4 × 500 + 2K = 696 × 47 Or, 31850 – 2000 + 2K = 32712 Or, 29850 + 2K = 32712 Or, 2K = 32712 – 29850 = 2862 Or, K = (2862/2) = 1431
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