Question 56

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?

Solution

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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