Question : In three positive numbers, the ratio of first and second is 3 : 4 and the ratio of second and third is 3 : 5. The product of first and third is 4500. What is the sum of the three numbers?
Option 1: 282
Option 2: 235
Option 3: 198
Option 4: 205
Correct Answer: 205
Solution :
The ratio of first and second = 3 : 4 = 9 : 12
The ratio of second and third = 3 : 5 = 12 : 20
The ratio of three numbers = 9: 12 : 20
Let the numbers be
Product of first and third = 4500
⇒
⇒
⇒
The sum of the three numbers
Hence, the correct answer is 205.