Venkat and Vidhya have to clear their respective loans by paying 2 equ...
D =[(30,000 *110/100*110/100) – 30,000] – 30,000 *10*2/100
=[36300-30000]- 6000
=6300 – 6000
D = 300
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Venkat and Vidhya have to clear their respective loans by paying 2 equ...
Given:
- Venkat and Vidhya have to clear their respective loans by paying 2 equal annual installments of Rs.30000 each.
- Venkat pays at 10% per annum of simple interest (SI).
- Vidhya pays at 10% per annum of compound interest (CI).
To find:
The difference in their payments.
Solution:
Let's calculate the total amount paid by Venkat and Vidhya separately and then find the difference.
Calculation for Venkat:
- Venkat pays at 10% per annum of simple interest (SI).
- The total amount paid by Venkat will be the sum of the principal amount and the interest.
- Let's assume the principal amount is P.
- The interest paid by Venkat is given by: Interest = (P * 10 * 2) / 100
- Here, 10% is the rate of interest and 2 is the number of years.
- So, the total amount paid by Venkat = Principal amount + Interest = P + (P * 10 * 2) / 100 = P + (P * 20) / 100 = P + 0.2P = 1.2P
Calculation for Vidhya:
- Vidhya pays at 10% per annum of compound interest (CI).
- The total amount paid by Vidhya will be the sum of the principal amount and the compound interest.
- Let's assume the principal amount is Q.
- The compound interest paid by Vidhya is given by: Compound Interest = Q * (1 + 10/100)^2 - Q
- Here, 10% is the rate of interest and 2 is the number of years.
- So, the total amount paid by Vidhya = Principal amount + Compound Interest = Q + (Q * (1 + 10/100)^2 - Q) = Q + (Q * 1.1^2 - Q) = Q + (1.21Q - Q) = 2.21Q
Calculating the difference:
The difference in their payments = Total amount paid by Vidhya - Total amount paid by Venkat = 2.21Q - 1.2P
As the given information doesn't provide any relation between P and Q, we cannot determine the exact value of the difference. Therefore, the correct answer is option 'e' (None of these), as we cannot choose any option from the given options.
Venkat and Vidhya have to clear their respective loans by paying 2 equ...
D =[(30,000 *110/100*110/100) – 30,000] – 30,000 *10*2/100
=[36300-30000]- 6000
=6300 – 6000
D = 300