Question
The average wage of a group of 23 labourers is Rs. 460.
If 4 persons receiving average wage of Rs. 350 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. 40. Find the value of ‘K’.Solution
Total wage of 23 labourers in the initial group = 23 × 460 = Rs. 10580 New average wage of the group = 460 + 40 = Rs. 500 New number of labourers in the group = 23 – 4 + 2 = 21 So, according to the question, 10580 – 4 × 350 + 2K = 500 × 21 Or, 10580 – 1400 + 2K = 10500 Or, 9180 + 2K = 10500 Or, 2K = 10500 – 9180 = 1320 Or, K = (1320/2) = 660
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