Question

Messi hired three labourers X, Y, Z. At the end of the day he have to divide Rs. 333 among them such that 9 times X's share is equal to 10 times Y's share which is equal to 5 times Z's share. Calculate how much money did X get?
1. Rs. 70
2. Rs. 90
3. Rs. 68
4. Rs. 76

Answer 1

Correct Answer - Option 2 : Rs. 90

Given:

Rs. 333 divided among X,Y and Z such that 9 times X's share is equal to 10 times Y's share which is equal to 5 times Z's share.

Formula used:

Simple Concept of Ratio and Proportion.

Calculation:

According to question,

9X = 10Y = 5Z

Expess Y's and Z's share in terms of X's share

Y = 9/10 X

Z = 9/5 Z

Now

X + Y + Z = 333

⇒ X + (9/10) X +(9/5) X = 333

⇒ 37X = 333 × 10

⇒ X = 9 × 10 = 90

Thus, X will get Rs. 90.