Correct Answer - Option 1 : 154
Given:
A number is divided into two parts in the ratio 5 : 6 respectively. The sum of 60% of first and 50% of the second part is 84.
Concept Used:
Ratio and proportion
Calculation:
Let the number be x
The ratio of two numbers be 5x : 6x
The sum of 60% of first and 50% of the second part is 84.
\(\Rightarrow \left( {5x} \right) × \frac{{60}}{{100}} + \left( {6x} \right) × \frac{{50}}{{100}} = 84\)
\(\Rightarrow 3x + 3x = 84\)
\(\Rightarrow 6x = 84\)
\(\Rightarrow x = 14\)
Original number = 5x + 6x = 11x
Original number = 11 × 14 = 154
