A ₹36,000 annual bonus is distributed among Sales, Marketing, and Operations in a 4:5:3 ratio. Marketing uses ₹3,000 for team building and ₹1,500 for an intern, then allocates the rest to two top performers in a 5:4 ratio. How much does the top performer with the smaller share receive?
₹4,666.67
Step 1 – Marketing's share:
Total ratio = \(4 + 5 + 3 = 12\). Marketing's share = \(\dfrac{5}{12} \times 36{,}000 = 15{,}000\).
Step 2 – Amount left after expenses:
\(15{,}000 - 3{,}000 - 1{,}500 = 10{,}500\).
Step 3 – Split ₹10,500 in 5:4:
Smaller share = \(\dfrac{4}{9} \times 10{,}500 = \dfrac{42{,}000}{9} \approx 4{,}666.67\).
Hence the top performer with the smaller share receives ₹4,666.67.
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