Question : In a job, Z1, Z2, and Z3 work for 8,10 and 15 days, respectively. The ratio of the daily wages of Z1, Z2, and Z3 is 3 : 4 : 4. respectively. If they receive INR 4,960 as total wages for the work done, then what is the combined share of Z2 and Z3 in the total wages received?
Option 1: INR 4,800
Option 2: INR 4,000
Option 3: INR 4,400
Option 4: INR 4,200
Correct Answer: INR 4,000
Solution :
The ratio of daily wages of Z
1
, Z
2
, and Z
3
as W
1
, W
2
, and W
3
respectively and ratio
3 : 4 : 4
Total wages Rs. 4960
The final ratio of their wages
= 8 × 3 : 10 × 4 : 15 × 4
= 24 : 40 : 60
= 6 : 10 : 15
Since Z
1
, Z
2
, and Z
3
received a total of INR 4960
⇒ Share of Z
2
and Z
3
= 4960 × $\frac{25}{6 + 10 + 15}$ = 4960 × $\frac{25}{31}$ = 4000
Hence, the correct answer is INR 4,000.
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