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Question : P's income is 250 percent of Q's income and P's expenditure is 180 percent of Q's expenditure. If P's income is 400 percent of Q's expenditure, then what is the respective ratio of P's savings and Q's savings?

Option 1: 11 : 5

Option 2: 5 : 2

Option 3: 11 : 3

Option 4: 8 : 3


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 5th Jan, 2024

Correct Answer: 11 : 3


Solution : Let Q's expenditure be $x$.
⇒ P's expenditure = 180% of $x=\frac{180}{100}x=1.8x$
And, P's income = 400% of $x=4x$
⇒ P's savings = $4x - 1.8x=2.2x$
Now, P's income = 250% of Q income
⇒ 250% of Q income = $4x$
⇒ Q income = $\frac{4x}{250\%}=\frac{4x}{250}\times100=1.6x$
$\therefore$ Q's savings = $1.6x - x=0.6x$
⇒ The ratio of the savings of P and Q = $2.2x : 0.6x=11 : 3$
Hence, the correct answer is 11 : 3.

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