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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 t
Question

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?

A.

2 : 3

B.

7 : 3

C.

3 : 7

D.

3 : 2

Correct option is B

Given:
Total salary of P and Q = ₹9,60,000.
P saves 64% of his salary.
Q saves 44% of his salary.
P's expenditure is 1.5 times Q's expenditure.
Formula Used:
Savings = Salary - Expenditure.
Solution:
Let P's salary be p, and Q's salary be q.
So,
P's expenditure = (1 - 0.64)p = 0.36p,
Q's expenditure = (1 - 0.44)q = 0.56q.
It is given that P's expenditure is 1.5 times Q's expenditure:
0.36p = 1.5 × 0.56q
0.36p = 0.84q 
pq=0.840.36=73\frac{p}{q} = \frac{0.84}{0.36} = \frac{7}{3}​​​
Thus, the ratio of salaries of P and Salaries of P = 7 : 3

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