A sum invested for 3 yr compounded at 5%, 10% and 20% respectively.

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A sum invested for 3 yr compounded at 5%, 10% and 20% respectively. In 3 yr, if the sum amounts to ₹ 16632, then find the sum.

1. ₹ 11000
2. ₹ 12000
3. ₹ 9000
4. ₹ 15000

Correct Option: B

Let the required sum be P Then,
P (1 + 5/100) (1 + 10/100) (1 + 20/100) = 16632
⇒ P x (105/100) x (110/100) x (120/100) = 16632
⇒ P = 16632 x [(100 x 100 x 100) / (105 x 110 x 120)]
∴ P = ₹ 12000