Two banks offer interest rate of 6% and 7% respectively on savings account. Mr. Faruq deposited a total amount of Tk. 4000 in the banks and in one year his interest income was Tk. 250. Find the deposit in the bank with 7% interest rate?
Two banks offer interest rate of 6% and 7% respectively on savings account. Mr. Faruq deposited a total amount of Tk. 4000 in the banks and in one year his interest income was Tk. 250. Find the deposit in the bank with 7% interest rate? Correct Answer 1000
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mtext>ধরি, 7% সুদে x টাকা deposit করে।</mtext><mspace linebreak = "newline"/><mi>x</mi><mo>×</mo><mfrac><mn>7</mn><mn>100</mn></mfrac><mo>×</mo><mn>1</mn><mo> + </mo><mfenced><mrow><mn>4000</mn><mo> - </mo><mi>x</mi></mrow></mfenced><mo>×</mo><mfrac><mn>6</mn><mn>100</mn></mfrac><mo>×</mo><mn>1</mn><mo> = </mo><mn>250</mn><mspace linebreak = "newline"/><mo>⇒</mo><mn>7</mn><mi>x</mi><mo> + </mo><mn>24000</mn><mo> - </mo><mn>6</mn><mi>x</mi><mo> = </mo><mn>25000</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mn>25000</mn><mo> - </mo><mn>24000</mn><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>x</mi><mo> = </mo><mn>1000</mn></math>
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Feb 20, 2025