A sum of Rs. 6,000 is to be paid back in two equal annual installments; each installment is to be paid at the end of every year. How much is each installment if the interest is compounded annually at 2% p.a.? (Rounded off up to two decimal places)

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 1)
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  1. Rs. 2,092.29
  2. Rs. 3,090.30
  3. Rs. 2,291.29
  4. Rs. 3,589.30

Answer (Detailed Solution Below)

Option 2 : Rs. 3,090.30
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Detailed Solution

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Calculation:

Rate = 2% pa

Year    
I 100 102
II 1002

1022


As both installments are equal multiply I by 102, So

Year    
I 100 × 102 1022
II 1002

1022

Total principle is 10200 + 10000 = 20200
According to the problem

20200 = 6000

1 = 6000/20200

1022 = 6000/20200 × 1022

3090.30

Each installment equals to Rs. 3090.30.

∴ Option 2 is the correct answer. 

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