Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity 1: The amount of each instalment that Neeta paid. Rs. 4000 is borrowed by Neeta at 5% per annum compounded interest and paid back in 3 equal annual instalments. Quantity 2: Total profit generated at the end of the year. Rakesh got Rs. 6000 as his share out of the total profit, he and Abhimanyu earned at the end of one year. Rakesh invested Rs. 20000 for 6 months, whereas Abhimanyu invested Rs. 5000 for the whole year.
Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity 1: The amount of each instalment that Neeta paid. Rs. 4000 is borrowed by Neeta at 5% per annum compounded interest and paid back in 3 equal annual instalments. Quantity 2: Total profit generated at the end of the year. Rakesh got Rs. 6000 as his share out of the total profit, he and Abhimanyu earned at the end of one year. Rakesh invested Rs. 20000 for 6 months, whereas Abhimanyu invested Rs. 5000 for the whole year. Correct Answer Quantity 1 < Quantity 2
Quantity 1:
Rate of interest = 5%
∴ Each instalment = 4000/
= 4000 × 9261/25220 = Rs. 1468.83
Quantity 2:
Amount invested by Abhimanyu = Rs. 5000
Rakesh = 20000 × 6
Abhimanyu = 12 × 5000
Ratio of their earnings, Rakesh : Abhimanyu = 120 : 60 = 2 : 1
∵ 2 ⇒ 6000
∴ Total profit is 3/2 × 6000 = Rs. 9000
∴ Quantity 1 < Quantity 2