Question
'A', 'B' and 'C' started a business together such that
'A' invested a 30% of the total capital invested by 'A', 'B' and 'C' together, 'B' invested 20% of the remaining capital and 'C' invested the rest, then find the profit share of 'C' given that the business earned a profit of Rs. 2,45,000 at the end of the year.Solution
Let the total capital invested by 'A', 'B' and 'C' together be Rs. '100x' So, capital invested by 'A' = 100x × 0.3 = Rs. '30x' And, capital invested by 'B' = (100x − 30x) × 0.2 = Rs. '14x' And, capital invested by 'C' = 100x − 30x − 14x = Rs. '56x' Ratio of profit share of 'A', 'B' and 'C' = {30x × 12}:{14x × 12}:{56x × 12} = 15:7:28 So, profit share of 'C' = 2,45,000 × (28/50) = Rs. 1,37,200
For which value of k does the quadratic equation
x² − 4(k + 1)x + (3k² + 8k + 4) = 0
have equal real roots?
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