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Teena, Reena and Sheena start a business with investment of respectively ₹ 24000, ₹ 28000 and ₹ 20000. Teena invests for 8 months, Reena invest for 10 months and Sheena invests for one year. If the total profit at the end of year is ₹ 25810, then what is the share of Teena?

Teena, Reena and Sheena start a business with investment of respectively ₹ 24000, ₹ 28000 and ₹ 20000. Teena invests for 8 months, Reena invest for 10 months and Sheena invests for one year. If the total profit at the end of year is ₹ 25810, then what is the share of Teena? Correct Answer ₹6960

Given:

Teena, Reena and Sheena start a business with investment of respectively ₹ 24000, ₹ 28000 and ₹ 20000

Teena invests for 8 months, Reena invest for 10 months and Sheena invests for one year.

Total Profit = 25810

Concept:

Ratio in which profit divides = Sum of money invested by individual × Duration for which money is invested.

Calculation:

Ratio in which profit divides = 24000 × 8 : 28000 × 10 : 20000 × 12

⇒ Ratio = 24 × 8 : 28 × 10 : 20 × 12

⇒ Ratio = 24 : 35 : 30

Share of Teena 

⇒ 25810 × 24/(24 + 35 + 30)

⇒ 25810 × 24/89

⇒ 290 × 24

⇒ Rs. 6960

∴ The share of teena is Rs. 6960.

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