A person divided a certain sum between his three sons in the ratio 3 : 4 : 5. had he divided the sum in the ratio : : , the son, who got the least share earlier, would have got Rs 1,188 more. The sum (in Rs) was:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6,768
Concept
Use of Ratio
Application
Initial ratio of money division = 3x : 4x : 5x
Here total 12x units---------- (1)
New ratio of division = 1/3 ∶ 1/4 ∶ 1/5
To find out the actual new ratio, let's take the LCM = 60
Therefore new ratios
20x : 15x : 12x = Total 47 x units--------(2)
Since money is same in both cases, the units needs to be same
Multiplying (2) with 12 and (1) with 47
New Ratio - 240x : 180x : 144x
Old Ratio - 141x : 188x: 235x
The difference between the minimum of old ratio and maximum of new ratio = 1188
According to the question
240x - 141x = 1188
99x = 1188
x = 12
Total Sum = 12 x 12 x 47
= 6768