Question

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?

• A. ₹5833.33
• B. ₹5250
• C. ₹4666.67
• D. ₹4200

Answer 1

Answer:

C. ₹4666.67

The total bonus is ₹36,000, distributed in the ratio 4 : 5 : 3.

Step 1: Find Marketing's share

Total parts:

4+5+3=12

Marketing gets:

$\frac{5}{12}\times 36,000$=₹15,000

Step 2: Subtract expenses

Marketing spends:

• Team building = ₹3,000

• Intern = ₹1,500

Total spent:

3,000+1,500=₹4,500

Remaining amount:

15,000-4,500=₹10,500

Step 3: Divide the remaining amount in the ratio (5:4)

Total parts:

5+4=9

The smaller share corresponds to 4 parts:

$\frac{4}{9}\times 10,500$
$=4\times 1,166.\overline{6}$
=₹4,666.67