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A sum of ₹12,600 is distributed among P, Q, R, and S in the ratio 2: 3: 5: 4. If R gets a certain amount more than Q, what is the amount that S receives?
₹3,600
₹4,200
₹3,200
₹4,500
₹3,600
Given: Total sum = ₹12,600; ratio P:Q:R:S = 2:3:5:4
Total sum = ₹12,600; ratio P:Q:R:S = 2:3:5:4
Sharei=Sum of ratiosTotal×ratioi
Divide the total by the sum of the ratio numbers to get one part, then multiply by each individual ratio.
Using an incorrect sum of the ratio numbers (e.g., 10 instead of 14) gives wrong shares.
Find one part
The sum of the ratio numbers is 2+3+5+4=14. One part = 1412600=900.
1412600=900
Calculate each share
Multiply the one‑part value by each ratio: P=2×900=1800, Q=3×900=2700, R=5×900=4500, S=4×900=3600.
S=4×900=3600
Identify S’s amount
From the calculation, S receives ₹3,600.
S’s share=3600
Verify total
Adding all shares 1800+2700+4500+3600=12600 confirms correctness.
1800+2700+4500+3600=12600
A is correct because S receives ₹3,600.
The same unitary‑method approach is used in profit‑loss and mixture ratio problems.