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The simple interest on an amount in 2 years at the rate of 7% per year is equal to the simple interest on Rs. 1750 in 4 years at the rate of 5% per year. Find the principal. 
  • a)
    Rs. 2500
  • b)
    Rs. 2050 
  • c)
    Rs. 2550
  • d)
    None of these 
Correct answer is option 'A'. Can you explain this answer?
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The simple interest on an amount in 2 years at the rate of 7% per year...
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The simple interest on an amount in 2 years at the rate of 7% per year...
Given:
- Simple interest on an amount in 2 years at the rate of 7% per year is equal to the simple interest on Rs. 1750 in 4 years at the rate of 5% per year.

To find:
- The principal amount.

Solution:
Let's assume the principal amount as 'P'.

Step 1: Calculate the simple interest for the first case.
- Principal amount = P
- Time = 2 years
- Rate of interest = 7%

The simple interest formula is given by:
Simple Interest = (Principal * Rate * Time) / 100

Simple Interest = (P * 7 * 2) / 100 = 14P / 100 = 0.14P

Step 2: Calculate the simple interest for the second case.
- Principal amount = Rs. 1750
- Time = 4 years
- Rate of interest = 5%

Simple Interest = (Principal * Rate * Time) / 100

1750 = (1750 * 5 * 4) / 100 = 3500 / 100 = 35

So, the simple interest for the second case is equal to 35.

Step 3: Equate the two simple interests from Step 1 and Step 2.
0.14P = 35

Simplifying the equation, we get:
P = 35 / 0.14 = 2500

Therefore, the principal amount is Rs. 2500.

Answer:
The principal amount is Rs. 2500.
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The simple interest on an amount in 2 years at the rate of 7% per year is equal to the simple interest on Rs. 1750 in 4 years at the rate of 5% per year. Find the principal.a)Rs. 2500b)Rs. 2050c)Rs. 2550d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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