Question
Harvey, Mike, and Donna started a business together,
with the ratio of Harvey's investment to Mike's being 5: x, and the ratio of Mike's investment to Donna's being 7:8. After 3 years, Donna's share of the total profit of Rs. 19,000 is Rs. 6,400. Determine the value of x.Solution
Ratio of investments: Harvey: Mike = 5: x Mike: Donna = 7: 8 Harvey: Mike: Donna = 35: 7x: 8x According to question, 8x/(35 + 7x + 8x) = 6400/19000 8x/(35 + 15x) = 32/95 760x = 32×35 + 32×15x 760x – 480x = 1120 280x = 1120 x = 112÷28 = 4
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