Question
Download Solution PDFA sum of money is to be divided among P, Q and R in the ratio 7 ∶ 9 ∶ 4. If P gets Rs. 1500 more than R then find the difference between the shares of P and Q.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of division among P, Q, and R: 7:9:4
Amount P receives more than R: Rs. 1500
Calculation:
Let the common ratio be "x".
Share of P = 7x
Share of Q = 9x
Share of R = 4x
Difference = Share of P - Share of Q
Given that P receives Rs. 1500 more than R:
7x - 4x = Rs. 1500
3x = Rs. 1500
To find the value of x, divide both sides of the equation by 3:
x = Rs. 1500/3
x = Rs. 500
Now we can calculate the shares of P and Q:
Share of P = 7x = 7 × 500 = Rs. 3500
Share of Q = 9x = 9 × 500 = Rs. 4500
The difference between the shares of P and Q:
Difference = Share of P - Share of Q
Rs. 4500 - Rs. 3500
Rs. 1000
Therefore, the difference between the shares of P and Q is Rs. 1000.
Last updated on Jun 26, 2025
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