Question : X, Y and Z are partners in a firm in 3:2:1. Z is Guaranteed that he will get a minimum of Rs 20,000 as his share of Profit every year. The firm's profit was Rs 90,000 Partners will get.
Option 1: X Rs 40,000, Y Rs 30,000, Z Rs 20,000
Option 2: X Rs 42,500, Y Rs 27,500, Z Rs 20,000
Option 3: X Rs 45,000, Y Rs 30,000, Z Rs 15,000
Option 4: X Rs 42,000, Y Rs 28,000, Z Rs 20,000
Correct Answer: X Rs 42,000, Y Rs 28,000, Z Rs 20,000
Solution :
Answer =
X Rs 42,000, Y Rs 28,000, Z Rs 20,000
Profit=90,000
X's share=$90,000 \times \frac{3}{6}$=45,000
Y's share=$90,000 \times \frac{2}{6}$=30,000
Z's share=$90,000 \times \frac{1}{6}$=15000
Z's guarantee=20,000
Deficiency=20,000-15,000=5,000
X's share=$5000 \times \frac{3}{5}$=3000
=45000-3000=42,000
Y's share=30,000-2,000=28,000.
Z's share=15,000+3,000+2,000=20,000.
Hence, the correct option is 4.
