Question
The average wage of a group of 44 labourers is Rs. 250.
If 4 persons receiving average wage of Rs. 275 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. 48. Find the value of ‘K’.Solution
Total wage of 44 labourers in the initial group = 44 × 250 = Rs. 11000 New average wage of the group = 250 + 48 = Rs. 298 New number of labourers in the group = 44 – 4 + 2 = 42 So, according to the question, 11000 – 4 × 275 + 2K = 298 × 42 Or, 11000 – 1100 + 2K = 12516 Or, 9900 + 2K = 12516 Or, 2K = 12516 – 9900 = 2616 Or, K = (2616/2) = 1308
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