IBPS Clerk Prelims Model Paper 7

Concept:Profit is shared in the ratio of $\text{capital} \times \text{time}$.When money is withdrawn, use different capital amounts for different time periods.Explanation:For A:$10000 \times 4 = 40000$After 4 months, remaining capital $= 5000$.$5000 \times 4 = 20000$After 8 months, remaining capital $= 2500$.$2500 \times 4 = 10000$Total capital months of A $= 40000 + 20000 + 10000 = 70000$.For B:$12000 \times 4 = 48000$After 4 months, remaining capital $= 6000$.$6000 \times 4 = 24000$After 8 months, remaining capital $= 3000$.$3000 \times 4 = 12000$Total capital months of B $= 48000 + 24000 + 12000 = 84000$.Profit ratio:$$A : B = 70000 : 84000 = 5 : 6$$Let total profit be ₹ $x$.A's share $= \frac{5}{11}x$.Given:$$\frac{5}{11}x = 10500$$$$x = 10500 \times \frac{11}{5} = 23100$$Answer:Total profit = ₹ $23100$, so option D is correct.