Question
'A' and 'B' form a partnership with an initial
investment of Rs. 2400 and Rs. 8a. After 6 months, 'A' takes out Rs. 400 from his original investment, and 'B' adds to it an amount that equals to  of 'A's original investment. Upon the conclusion of a year, if the profit ratio between 'A' and 'B' is 11:9, ascertain the value of 'a'.Solution
Ratio of profit share of 'A' to that of 'B' = 
Ratio of profit share of 'A' to that of 'B' = (2400 + 2000) :(8a + 8a + 400) = 4400:(16a + 400) ATQ: {4400/(16a + 400) } = (11/9) Or, 400 X 9 = 16a + 400 Or, 16a = 3600 - 400 Or, a = 200
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