A started a business with a capital of ₹9,22,000. After 2 months, B joined him with a certain amount of capital. At the end of a year of A's starting the business, the profit was shared in the ratio 6 : 5. How much (in ₹) did B invest?

Correct option is B

Let B’s investment = ₹x and he worked for 10 months. Profit ratio = (A × 12) : (B × 10) = 6 : 5 ⇒ (922000 × 12) / (x × 10) = 6/5 ⇒ (11064000) / (10x) = 6/5 ⇒ 11064000 × 5 = 60x x = 55320000 / 60 = ₹922000
Explanation of options: (a) ✘ Overestimates the capital based on misalignment in months (b) ✔ Correct — using time and capital-based profit ratio (c) ✘ Underestimates B’s capital (d) ✘ Slightly over-calculated