A novelist earned Tk. 1,00,000 from royalties on her book. She paid 20% income tax on the royalties. She invested Tk. 50,000 at one rate and the rest at a rate that was 1% lower, earning 6,100 taka annual interest on the two investments. What was the lower rate?

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Satt Academy · Accepted Answer

Here, Earned royalties =

1,00,000 Tk. Remaining royalties after tax = 1,00,000-1.00,000 × 20% = 80,000 Tk. Invested at higher rate= 50,000 Tk Invested at lower rate = 80000 - 50000 = 30000Tk Let, Higher rate be = x% Lower rate be = (x - 1)% According to the question, 50,000 ×x%+30,000 × (x - 1)% = 6,100 ⇒50.000 ×x100+ 30000×x - 1100= 6,100 ⇒ 500x+300(x - 1)= 6,100 ⇒ 500x+300x-300 = 6,100 ⇒ 800x=6,100+300 ⇒x=6400800=8 Higher rate=8-1=7%

A novelist earned Tk. 1,00,000 from royalties on her book. She paid 20% income tax on the royalties. She invested Tk. 50,000 at one rate and the rest at a rate that was 1% lower, earning 6,100 taka annual interest on the two investments. What was the lower rate? (Equation (সমীকরণ))

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