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Amal invests ₹ 12000 at 8% interest, compounded annually, and ₹ 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is (type in box)

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Calculation:

The interest of Amal on 12000 at 8% compounded annually

⇒ 12000 × (8/100) = 960

Interest of Amal on 10000 at 6% compounded semi-annually

⇒ {10000 × (3/100)} + {10300 × (3/100)} = 300 + 309 = 609

Total interest of Amal = 960 + 609 = 1569

Interest of Bimal on x at 7.5 % simple interest

⇒ (7.5/100) × x = 1569

⇒ x = 20920

The investment of Bimal in Rupees is 20920.

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