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Arpit and Ankit invested Rs. 20000 and Rs. 40000 in a business respectively. After 2 months, Arpit invested Rs. 20000 more. But after few months, Ankit withdrew Rs. 10000. If they both received equal share in the profit at the end of the year, after how many months of investing did Ankit withdrew Rs. 10000?

Arpit and Ankit invested Rs. 20000 and Rs. 40000 in a business respectively. After 2 months, Arpit invested Rs. 20000 more. But after few months, Ankit withdrew Rs. 10000. If they both received equal share in the profit at the end of the year, after how many months of investing did Ankit withdrew Rs. 10000? Correct Answer 8

Arpit’s investment = 20000 × 2 + (20000 + 20000) × (12 - 2) = 40000 + 400000 = 440000

Let Ankit withdrew Rs. 10000 after ‘x’ months

Ankit’s investment = 40000 × x + (40000 - 10000) × (12 - x) = 360000 + 10000x

As they received equal share in profit, ratio of their shares = 1 ∶ 1

As we know, ratio of investments = ratio of share in profit

⇒ 440000 ∶ (360000 + 10000x) = 1 ∶ 1

⇒ 44/(36 + x) = 1

⇒ x = 44 - 36 = 8

∴ Ankit withdrew Rs. 10000 after 8 months of investing

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