From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. If Faisal and one of his friends got a total of 60000 taka, what was the total profit?

From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. If Faisal and one of his friends got a total of 60000 taka, what was the total profit? Correct Answer 108000 taka

Let, total profit be taka x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math>Faisal get taka <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac></math>So, each of the friends get <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac><mfenced><mrow><mi>x</mi><mo>&#xA0;</mo><mo> - </mo><mo>&#xA0;</mo><mfrac><mi>x</mi><mn>3</mn></mfrac></mrow></mfenced></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> So <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac><mo>&#xA0;</mo><mo> + </mo><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> = 60,000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>5</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> = 60,000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math>x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>60</mn><mo>,</mo><mn>000</mn><mo>&#xD7;</mo><mn>9</mn></mrow><mn>5</mn></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> x = 1,08,000
Bissoy MCQ

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