The following table shows the details about money invested (principal) in a…
2023
The following table shows the details about money invested (principal) in a bank at a certain rate of interest for a given period of time by six different persons A–F, along with the amount received (in ₹). Some values are missing in the table (indicated as “–”) that you are expected to calculate if required. Based on the data in the table, answer the questions that follow.
Person-wise Details of Money Invested
Person | Rate of Interest (%) | Time (in years) | Principal (in ₹) | Amount Received (in ₹) |
|---|---|---|---|---|
A | 6% | – | 18000 | – |
B | 5% | – | 30000 | – |
C | – | 5 | – | 29000 |
D | – | 3 | 45000 | – |
E | 8% | – | 20000 | – |
F | – | 2 | 60000 | – |
Note: Calculate simple interest unless specified.
SubQuestion No: 2
If the interest received by F is ₹ 7,575 more than the interest received by D and the rate of interest received by F is 2% more than the rate of interest received by A, then the interest rate received by D is:
- A.
8%
- B.
1.3%
- C.
1.4%
- D.
1.5%
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Step 1: Determine the rate of interest for F. Given Rate A = 6%, and Rate F is 2% more than Rate A, so Rate F = 6% + 2% = 8%.
Step 2: Calculate Simple Interest for F. Using SI = (P × R × T) / 100, with P = ₹60,000, R = 8%, T = 2 years. SI_F = (60000 × 8 × 2) / 100 = ₹9,600.
Step 3: Calculate Simple Interest for D. Given Interest F is ₹7,575 more than Interest D, so SI_D = SI_F - 7575 = 9600 - 7575 = ₹2,025.
Step 4: Calculate the rate of interest for D. Using SI = (P × R × T) / 100, rearrange to find R = (SI × 100) / (P × T). With SI = ₹2,025, P = ₹45,000, T = 3 years. R_D = (2025 × 100) / (45000 × 3) = 202500 / 135000 = 1.5%.