X, Y, and Z completed a work costing Rs. 3,400. X worked for 5 days, Y for 7 days, and Z for 10 days. If their daily wages are in the ratio of 4 : 5 : 3, how much amount will be received by X?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 800.
Concept used:
Total wages = Days × Wages/day
Calculation:
Ratio of the wages (X : Y : Z) = (4 × 5 : 5 × 7 : 10 × 3) = 4 : 7 : 6
Total wages = 4k + 7k + 6k = 17k
⇒ 17k = Rs 3,400
⇒ k = 3,400/17 = 200
Hence, the share of X = 4k
⇒ 4 × 200 = Rs 800