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 Γ 12) : [2000 Γ (12 β x)] = (8250 β 2250) : 2250 β 36000 : [2000 Γ (12 β x)] = 6000 : 2250 β 36000 / [2000(12 β x)] = 6000 / 2250 Cross-multiplying: 36000 Γ 2250 = 6000 Γ 2000 Γ (12 β x) Simplify: 36000 / 2000 = 6000 / (12 β x) β 18 = 6000 / (12 β x) β 18(12 β x) = 6000 β 216 β 18x = 6000 β x = 4
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