In a job, $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ work for 8, 10 and 15 days, respectively. The ratio of the daily wages of $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ is 3 : 4: 4, respectively. If they receive ₹4,960 as total wages for the work done, then what is the combined share of $$Z_{2}$$ and $$Z_{3}$$ in the total wages received?
The ratio of the daily wages of $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ is 3 : 4: 4, respectively.
Let's assume the daily wages of $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ is 3y, 4y and 4y respectively.
In a job, $$Z_{1}, Z_{2}$$ and $$Z_{3}$$ work for 8, 10 and 15 days, respectively. If they receive ₹4,960 as total wages for the work done.
$$3y \times8+4y \times10+4y \times15 = 4960$$
$$24y+40y+60y = 4960$$
124y = 4960
y = 40
Combined share of $$Z_{2}$$ and $$Z_{3}$$ in the total wages received = $$4y \times10+4y \times15$$
= $$40y+60y$$
= 100y
= $$100\times40$$
= ₹4,000
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