Question
The average wage of a group of 20 labourers is Rs. 500.
If 4 persons receiving average wage of Rs. 360 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. 55. Find the value of ‘K’.Solution
Total wage of 20 labourers in the initial group = 20 × 500 = Rs. 10000 New average wage of the group = 500 + 55 = Rs. 555 New number of labourers in the group = 20 – 4 + 2 = 18 So, according to the question, 10000 – 4 × 360 + 2K = 555 × 18 Or, 10000 – 1440 + 2K = 9990 Or, 8560 + 2K = 9990 Or, 2K = 9990 – 8560 = 1430 Or, K = (1430/2) = 715
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