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Anand, Balu, and Charan entered into a partnership by investing Rs. 30000, Rs. 25000 and Rs. 40000 respectively. After 4 months, Anand withdraws two-fifth of the amount and Balu invested Rs. 15000 more. And after 3 more months, Charan withdraws three-fifth of the amount. Find the total profit at the end of the year, if the share of Balu is Rs. 70000?


1. Rs .174000
2.  Rs. 188000
3. Rs. 172000
4. Rs. 164000

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Correct Answer - Option 1 : Rs .174000

Given:

Anand, Balu, and Charan entered into a partnership by investing Rs. 30000, Rs. 25000 and Rs. 40000 respectively.

After 4 months, Anand withdraws 2/5th of the amount, and Balu invested Rs. 15000 more.

After 3 more months, Charan withdraws 3/5th of the amount.

Concept used:

The profit will be shared among people in the ratio of the product of their investment and time.

Calculation:

Share of Anand ∶ Share of Balu ∶ Share of Charan

⇒ [30000 × 4 + 30000 × (3/5) × 8] ∶ [25000 × 4 + 40000 × 8] ∶ [40000 × 7 + 40000 × (2/5) × 5]

⇒ 264000 ∶ 420000 ∶ 360000

⇒ 22 ∶ 35 ∶ 30

Let total profit be 87x

Share of Balu = 35x/87

⇒ 35x/87 = 70000

⇒ x = 174000

∴ Total profit is Rs. 174000.

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