Nikhil started a business and he invested in 38000, After some month, Aarti came to join with him and invest 28500.The end of the year the total profit was divided among them into ratio form 16: 8.Find after how many months did Nikhil join.
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Answer:
(38000 x 12 months) / (28500 x y months) = 16 / 8
(38000 x 12) / (28500 x 2) = y
y = 8 months
Explanation:
nikhil invested 38000 for 1 year = 12 months
aarti invested 28500 for y months
so, ratio of investment x duration = ratio of profit
so (38000 x 12)÷(28500 x y) = 16 ÷ 8
∴ (38000 x 12) ÷ (28500 x y) = 2
∴ (38000 x 12) ÷ (28500 x 2) = y
∴ (38000 x 6) ÷ (28500) = y
∴ y = 8
∴ Aarti invested for 8 months
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