Question
P started a business investing Rs.10000. After 5 months,
Q joined her with the capital of Rs.20000. After another 3 months, R joined them with the capital of Rs.25000. At the end of the year, they made a total profit of Rs.7200. Find the share of R.Solution
P invested her capital for 12 months, Q for 7 months and R for 4 months. So, ratio of their capitals = (10000 × 12):(20000 × 7):(25000 × 4) ⇒  120000 : 140000 : 100000 ⇒  6 : 7 : 5 Therefore, R’s share = 7200 x (5/18) = Rs.2000
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Find the equation of the circle passing through the points (1, 2) and (2, -1), and whose center lies on the line x - 2y + 3 = 0.
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