Correct Answer - Option 3 : Rs. 1100
Given:
Sum of their salaries = 3300
Ratio of their savings = 5 : 4 : 9
They spend 50%, 80% and 70% of their incomes.
Formula Used:
Simple Concept of Ratios.
Calculation:
Let their savings be Rs. 5a, Rs.4a and Rs.9a
Also, x + y + z = 3300 ----(1)
According to question,
40x/100 = 5a
⇒ x = 5a × 100/40 = 10a
20y/100 = 4a
⇒ y = 4a × 100/20 = 20a
30z/100 = 9a
⇒ z = 9a × 100/30 = 30a
Now, put the values of x, y and z in eq.(1)
10a + 20a + 30a = 3300
⇒ 60a = 3300
⇒ a = 55
X's income = 10a × 55 = Rs. 550
y's income = 20a = 20 × 55 = Rs. 1100
z's income = 30a = 30 × 55 = Rs. 1650
So, z's earn more by Rs. (1650 - 550) = Rs. 1100
∴ Z earn Rs.1100 more than X.