Question
Person P invested Rs. ___ to
start a business. After ___ months, Person Q joined by investing Rs. 6,000. At the end of 16 months from the beginning, P’s share of the profit was Rs. 1,184 out of a total profit of Rs. 1,850. Which of the following sets of values will fill the blanks (in the same order) so that the statement becomes false? (I) 8,000, 4 (II) 6,000, 7 (III) 3,000, 10Solution
ATQ, Let the investment of 'P' be Rs. 'x' and time after which 'Q' joined the business be 'm' months. Profit share of Q = 1,850 - 1,184 = 666 Ratio of profit share of P and Q respectively = 1,184:666 = 16:9 So, (x X 16) :[6,000 X (16 - m) = 16:9 Or, x ÷ [6,000 X (16 - m) = (1/9) Or, x ÷ (16 - m) = (2,000/3) Statement I: 8,000 ÷ (16 - 4) = (8,000/12) = (2,000/3) So, statement I is true. Statement II: 6,000 ÷ (16 - 7) = (6,000/9) = (2,000/3) So, statement II is true. Statement III: 3,000 ÷ (16 - 10) = (3,000/6) = (1,000/3) So, statement III is false. Therefore, only statement III is false.
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