The following question has three statements. Study the question and the statements to decide which of the statement(s) is/are necessary to answer the question. P, Q and R started a business with capital in the ratio 4 ∶ 3 ∶ 6. Find the share of Q in the profit at the end of the year. Statement I: R left after 6 months withdrawing his capital Statement II: R gets Rs. 600 from the profit as a monthly salary and his total salary turns out to be 10% of the annual profit Statement III: P invested Rs. 45000 in the business Correct Answer Statement (II) alone is sufficient P, Q and R started a business with capital in the ratio 4 ∶ 3 ∶ 6 Statement II: R gets Rs. 600 from the profit as a monthly salary and his total salary turns out to be 10% of the annual profit Suppose total profit is Rs. x According to statement ⇒ 600 × 12 = 0.1x ⇒ 0.1x = 7200 ⇒ x = Rs. 72000 ⇒ Total profit = Rs. 72000 Now, the share of Q can be determined as the ratio of profit is same as ratio of investment Statement I: R left after 6 months withdrawing his capital. It is an additional condition but it is not the statement which is necessary to answer the question Statement III: P invested Rs. 45000 in the business This statement is of no use as we already have the ratio of investment ∴ Statement (II) alone is sufficient to answer the question