Question
Ravi invested Rs. 3000 in a business. After
data-start="1237" data-end="1242">x months, Sanjay joined him with Rs. 2000. If Sanjay got Rs. 2250 out of the total annual profit of Rs. 8250, find the value of x .Solution
According to the question, (3000 × 12) : [2000 × (12 – x)] = (8250 – 2250) : 2250 → 36000 : [2000 × (12 – x)] = 6000 : 2250 → 36000 / [2000(12 – x)] = 6000 / 2250 Cross-multiplying: 36000 × 2250 = 6000 × 2000 × (12 – x) Simplify: 36000 / 2000 = 6000 / (12 – x) → 18 = 6000 / (12 – x) → 18(12 – x) = 6000 → 216 – 18x = 6000 → x = 4
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