Question

Sajid started a business with Rs. 70000 and after 4 months Wajid joined him with Rs.52500. At the end of the year, out of the total profits Wajid received total Rs. 60,000 including 25% of the profits as commission for managing the business. The amount received by Sajid is ____.

• A. Rs. 45000
• B. Rs. 60000
• C. Rs.78200
• D. Rs.48650

Hint:

Relative speed is the sum of both train speeds when moving toward each other.

Answer 1

The Correct Option is B

Sajid invested Rs. 70,000 for all 12 months, while Wajid invested Rs. 52,500 for only 8 months (joining 4 months late), so their capital-time products are in the ratio \(70000 \times 12 : 52500 \times 8 = 2:1\).
Wajid's total receipt of Rs. 60,000 includes his 25% management commission on the total profit \(P\), plus his 1/3 share of the remaining 75%: \(0.25P + \dfrac{1}{3}(0.75P) = 0.5P = 60000\), giving \(P = 120000\).
Sajid receives his 2/3 share of the remaining 75%: \(\dfrac{2}{3} \times 0.75 \times 120000 = 60000\), matching option 2.