X, Y and Z completed a work costing Rs. 4,480. X worked for 4 days, Y for 6 days and Z for 8 days. If their daily salary is in the ratio 5 : 6 : 7, then how much money will X get?

Correct option is A

Given:
Total cost of the work = Rs. 4,480
X worked for 4 days, Y worked for 6 days, and Z worked for 8 days.
The daily salaries of X, Y, and Z are in the ratio 5 : 6 : 7.

Solution:

Let X's daily wage = 5k, Y's daily wage = 6k, Z's daily wage = 7k.

Total earnings = $$(4 \times 5k) + (6 \times 6k) + (8 \times 7k)$$

Total earnings = 20k + 36k + 56k

Total earnings = 112k

Since the total payment for the work is Rs. 4,480:

112k = 4480

​$$k = \frac{4480}{112} = 40$$

X's earnings = 20k = $$20 \times 40 = 800​​$$

So, X will receive Rs. 800.

Thus, the correct answer is (a).

Alternative Method:

5x : 9x : 14x

Total 28x

28x = 4480

x = $$\frac{4480}{28} = 160$$

X = 5x = 5 × 160 = 800