Question

The salaries of a person and his father are in the ratio of 4.7 If both of them together earn Rs 44,000, how much more should the son earn to reverse the ratio
Rs. 49.000
Rs. 16,000
Rs. 28.000
​

Answer 1

the son needs to earn an amount of Rs. 33,000 more to reverse the ratio.

Total Earning of Both the Father and the Person = Rs. 44,000

Given ratio between salaries of the person and his father = 4 : 7

Let the portion of Salaries be  $'x\ '$.

Then,

$4x$ represents Person's Earnings out of Rs. 44,000

and

$7x$ represents Father's Earnings out of Rs. 44,000.

According to the problem,

$4x\ +\ 7x = 44000\\\\ 11x = 44000\\\\ x = 4000$

Therefore,

Person's Earnings out of Rs. 44,000 = $4\times4000 = Rs. 16,000$

Father's Earnings out of Rs. 44,000 = $7\times4000 = Rs. 28,000$

To reverse the Ratio between their salaries, the person's earning needs to be more than the father's salary, in proportion to 7:4:

$28,000\ \times \frac{7}{4} = Rs. 49,000$

So to exceed the father's salary and reversing the ratio, the person needs to earn:

$Rs. 49,000 - Rs. 16,000\\= Rs. 33,000$

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