A, B, and C subscribe Rs. 47,000 for a business. A subscribes Rs. 7000 more than B, and B subscribes Rs. 5000 more than C. If the total profit is Rs. 9400, what is B’s share?

Introduction / Context:First reconstruct each capital using the given differences and the total. Then allocate profit in proportion to capitals. Time is assumed equal for all subscribers.

Given Data / Assumptions:

• Total capital = Rs. 47000.
• A = B + 7000; B = C + 5000.
• Profit = Rs. 9400; share ∝ capital.

Concept / Approach:Express all amounts in terms of C, sum to the total, solve for C, then find B. Finally compute B’s profit share using B / total capital × total profit.

Step-by-Step Solution:Let C = x ⇒ B = x + 5000 ⇒ A = x + 12000Sum: x + (x + 5000) + (x + 12000) = 47000 ⇒ 3x + 17000 = 470003x = 30000 ⇒ x = 10000Thus B = 15000; A = 22000; C = 10000B’s profit share = 9400 * (15000 / 47000) = 9400 * 0.319148... = Rs. 3000 (exact, since 9400/47000 = 1/5)

Verification / Alternative check:Because 47000 ÷ 5 = 9400, B receives exactly one-fifth when B = 15000 (which is 15/47 of total), giving Rs. 3000 precisely.

Why Other Options Are Wrong:Other figures do not match proportional division of Rs. 9400 for B = Rs. 15000 out of Rs. 47000.

Common Pitfalls:Mistaking the profit for capital or mixing up who has the larger subscription.

Final Answer:Rs. 3000