The salaries of P and Q together amount to ₹9,60,000. P and Q save 64% and 44%, respectively of their individual salaries. If P’s expenditure is 1.5 times Q’s expenditure, then what is the ratio of P’s salary to Q’s salary?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 7 : 3.
Let P's salary be x and Q's salary be y.
P saves 64% of their salary.
So P spends 100% - 64% = 36% of their salary
Q saves 44% of their salary.
So Q spends 100% - 44% = 56% of their salary
Expenditure of P = (36/100)x = 0.36x
Expenditure of Q = (56/100)x = 0.56y
Now, 0.36x = 1.5 × 0.56y
⇒ x/y = (1.5 × 0.56)/0.36 = 7/3
Therefore, the ratio of P’s salary to Q’s salary is 7 : 3.