Please enter the following details
Given below are two statements :
Statement I: The ratio of the son's age to the father's age is 1 : 5. The product of their ages is 245. The ratio of the son's age to the father's age after 9 years will be 3 : 5.
Statement II: A milkman adds 30 litres of water to 70 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be 28 : 72.
In the light of the above statements, choose the correct answer from the options given below.
Statement I:
It is given that the ratio of son's age to father's age is 1:5
Let the son's age be x and father's age be 5x.
(x)(5x) = 245
x = 7
Therefore, son's age is 7 years and father's age is 35 years.
After 9 years, son's age is 16 years and father's age is 44 years.
Ratio = 16 : 44 = 4 : 11
Statement II:
Initially - 70L milk and 30L water
After selling 1/5th of the solution - 56L milk and 24L water
Adding water - 56L milk and 44L water
water:milk = 44:56 = 11:14
The answer is option B.
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with detau solutions PDF
- Top 500 MBA exam Solved Questions for Free
