(A) The simple interest on Rs 6600 at 5% per annum for 2 yrs.
(B) The simple interest on Rs 200 at 6% per annum for 5 yrs.
(C) The simple interest on Rs 840 at 5% per annum for 4 yrs.
(D) The simple interest on Rs 5000 at 12% per annum for 2 yrs.
Choose the correct answer from the options given below:
Simple Interest Calculation for Each Case
To determine the correct order of simple interest for the given cases, we must first calculate the simple interest (SI) for each scenario. The formula for simple interest is:
$SI = \frac{P \times R \times T}{100}$
Where:
- P represents the Principal amount.
- R represents the annual Rate of interest.
- T represents the Time period in years.
Case (A) Calculation
For Case (A), the details are:
- Principal (PA) = Rs 6600
- Rate (RA) = 5% per annum
- Time (TA) = 2 years
Using the formula:
$SI_A = \frac{6600 \times 5 \times 2}{100} = \frac{6600}{100} \times 10 = 66 \times 10 = 660$
So, the simple interest for Case (A) is Rs 660.
Case (B) Calculation
For Case (B), the details are:
- Principal (PB) = Rs 200
- Rate (RB) = 6% per annum
- Time (TB) = 5 years
Using the formula:
$SI_B = \frac{200 \times 6 \times 5}{100} = \frac{200}{100} \times 30 = 2 \times 30 = 60$
So, the simple interest for Case (B) is Rs 60.
Case (C) Calculation
For Case (C), the details are:
- Principal (PC) = Rs 840
- Rate (RC) = 5% per annum
- Time (TC) = 4 years
Using the formula:
$SI_C = \frac{840 \times 5 \times 4}{100} = \frac{840 \times 20}{100} = \frac{16800}{100} = 168$
So, the simple interest for Case (C) is Rs 168.
Case (D) Calculation
For Case (D), the details are:
- Principal (PD) = Rs 5000
- Rate (RD) = 12% per annum
- Time (TD) = 2 years
Using the formula:
$SI_D = \frac{5000 \times 12 \times 2}{100} = \frac{5000}{100} \times 24 = 50 \times 24 = 1200$
So, the simple interest for Case (D) is Rs 1200.
Interest Values Comparison
After calculating the simple interest for all four cases, we can compare the values:
| Case | Simple Interest (Rs) |
|---|---|
| (A) | 660 |
| (B) | 60 |
| (C) | 168 |
| (D) | 1200 |
Decreasing Order Arrangement
The question asks to arrange the simple interest amounts in decreasing order, which means from the largest amount to the smallest amount. Based on the calculated values:
- The highest simple interest is Rs 1200, which corresponds to Case (D).
- The next highest is Rs 660, corresponding to Case (A).
- The following interest is Rs 168, corresponding to Case (C).
- The lowest simple interest is Rs 60, corresponding to Case (B).
Therefore, the simple interest of the cases in decreasing order is (D), (A), (C), (B).
Important Questions from Simple Interest
If ₹12,800 is invested in a bank for 5 years at the rate of 9% per annum simple interest. what amount is returned by the bank?
Somu has borrowed ₹10,000 from a money lender with simple interest at a rate of 7% half yearly. How much amount will he pay to the money lender after 3 years?
Find the Simple interest on Rs. 2,400 from 20 March 2019 to 31 may 2019 at \(6{1 \over 4}\) % rate?
If the simple interest for five years is equal is 35% of the principal, that rate of interest is:
A sum fetched a simple interest of Rs. 3,040 at the rate of 8% p.a in 5 years. what is the sum?
