If window received 1/3 of her hushand's estate, and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of Tk. 360,000 from the estate, what was the worth of the estate in Tk?

A 540,000

B 576,000

C 648,000

D none of these

Correct Answer: 648,000

ধরি, মোট সম্পত্তির মূল্য x টাকা বিধবা পায় <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mn>3</mn></mfrac></math> টাকা প্রত্যেক ছেলে পায় <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo> </mo><mo> - </mo><mfrac><mi>x</mi><mn>3</mn></mfrac></mrow></mfenced><mo> </mo><mo>×</mo><mo> </mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math> টাকা = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>9</mn></mfrac></math> টাকা <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo><mfrac><mstyle displaystyle = "true"><mn>1</mn></mstyle><mstyle displaystyle = "true"><mn>3</mn></mstyle></mfrac><mo> </mo><mo> + </mo><mo> </mo><mfrac><mstyle displaystyle = "true"><mn>2</mn><mi>x</mi></mstyle><mstyle displaystyle = "true"><mn>9</mn></mstyle></mfrac><mo> </mo></math> = 3,60,000<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mfrac><mstyle displaystyle = "true"><mn>5</mn><mi>x</mi></mstyle><mstyle displaystyle = "true"><mn>9</mn></mstyle></mfrac><mo> </mo><mo> </mo></math> = 3,60,000<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>x</mi><mo> </mo><mo> = </mo><mo> </mo><mfrac><mstyle displaystyle = "true"><mn>3</mn><mo>,</mo><mn>60</mn><mo>,</mo><mn>000</mn><mo>×</mo><mn>9</mn></mstyle><mstyle displaystyle = "true"><mn>5</mn></mstyle></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo></math> x = 6.48,000

Bissoy MCQ Team

May 27, 2023

#গণিত #Dutch-Bangla Bank Ltd #Dutch-Bangla Bank Ltd - Probationary Officer - 14.08.2015

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