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?

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Accepted Answer

Let P's salary be P and Q's salary be Q.

Given:
P + Q = 960000
P saves 64% of salary, so expenditure of P = 36% of P = 0.36P
Q saves 44% of salary, so expenditure of Q = 56% of Q = 0.56Q

Also, P’s expenditure is 1.5 times Q’s expenditure:
0.36P = 1.5 × 0.56Q
0.36P = 0.84Q

Divide both sides by 0.36:
P = (0.84 / 0.36) Q = (7/3) Q

So, the ratio of P's salary to Q's salary is P : Q = 7 : 3.

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