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Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity A: A man borrowed Rs. 80000 for 8% per annum simple interest for 3 years. He paid Rs. 30000 as his first annual installment and Rs. 40000 as his second annual installment. What is his final installment? Quantity B: Rs. 21050

Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity A: A man borrowed Rs. 80000 for 8% per annum simple interest for 3 years. He paid Rs. 30000 as his first annual installment and Rs. 40000 as his second annual installment. What is his final installment? Quantity B: Rs. 21050 Correct Answer Quantity A > Quantity B

Solving for Quantity A:

Sum borrowed = Rs. 80000

Interest for 1st year = (80000 × 8)/100 = Rs. 6400

First instalment = Rs. 30000

Sum left after 1st year = 80000 - 30000 = Rs. 50000

Interest after 2nd year = (50000 × 8)/100 = Rs. 4000

Second instalment = Rs. 40000

Sum left after 2nd year = 50000 - 40000 = Rs. 10000

Interest after 3rd year = (10000 × 8)/100 = Rs. 800

Hence,

Final instalment = sum left after 2nd year + total interest

= 10000 + 6400 + 4000 + 800

= Rs. 21200

Quantity A = Rs. 21200

Solving for Quantity B:

Quantity B = Rs. 21050

∴ Quantity A > Quantity B

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