Question

The ratio of four numbers is 3 : 4 : 5 : 6 and the sum of the four numbers is 7200. The largest of the four numbers, is

• A. 2800
• B. 2600
• C. 3200
• D. 2400

Hint:

To quickly solve ratio partition questions, sum up the ratio parts: \(3 + 4 + 5 + 6 = 18\) parts.
Divide the total value by the total parts: \(7200 / 18 = 400\) (value per part).
Multiply this single part value by the largest ratio term: \(6 \times 400 = 2400\).
This reduces computation time significantly during exams.

Answer 1

The Correct Option is D

Step 1: Find the sum of ratio parts.
Ratio is 3:4:5:6, so total parts = 3 + 4 + 5 + 6 = 18.
Step 2: Find the value of each unit.
\[ \text{One unit} = \frac{7200}{18} = 400 \]
Step 3: Find the largest number.
The largest ratio part is 6, so the largest number = 6 x 400 = \[ \boxed{2400} \]