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Rajdeep lent out a combined amount of Rs. 72,000 such that simple interest in 2 years at 10% per annum on the first part is the same as the simple interest in 2 years at 15% per annum on the second part. What is the interest in 2 years at 10% per annum on the first part?
  • a)
    Rs. 8,165
  • b)
    Rs. 8,260
  • c)
    Rs. 8,470
  • d)
    Rs. 8,640
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Rajdeep lent out a combined amount of Rs. 72,000 such that simple inte...
Interest on the first part = 2 × 10% = 20%
Interest on the second part = 2 × 15% = 30%
Let the first part = X
Second part = (72,000 – X)
20% of X = 30% of (72,000 – X)
50% of X = 21,600
X = 43,200
So the answer = 20% of 43,200 = Rs. 8,640
Hence, Option D is correct.
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Community Answer
Rajdeep lent out a combined amount of Rs. 72,000 such that simple inte...
Understanding the Problem
Rajdeep has lent out a total of Rs. 72,000, divided into two parts. The simple interest on the first part for 2 years at 10% per annum is equal to the simple interest on the second part for the same duration at 15% per annum.

Let’s Define the Variables
- Let the first part be Rs. x.
- Then, the second part will be Rs. (72,000 - x).

Calculating Simple Interest
- **Simple Interest (SI) Formula**: SI = (Principal × Rate × Time) / 100
For the first part:
- SI1 = (x × 10 × 2) / 100 = (20x) / 100 = 0.2x
For the second part:
- SI2 = ((72,000 - x) × 15 × 2) / 100 = (30(72,000 - x)) / 100 = 21,600 - 0.3x

Setting the Interests Equal
According to the problem:
- 0.2x = 21,600 - 0.3x

Solving for x
1. Combine like terms:
- 0.2x + 0.3x = 21,600
- 0.5x = 21,600
2. Solve for x:
- x = 21,600 / 0.5 = 43,200
Thus, the first part is Rs. 43,200.

Calculating the Interest for the First Part
Using x = 43,200 to find the interest for 2 years at 10%:
- SI1 = (43,200 × 10 × 2) / 100 = (864,000) / 100 = Rs. 8,640

Conclusion
The interest in 2 years at 10% per annum on the first part is **Rs. 8,640**, confirming that option 'D' is correct.
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Rajdeep lent out a combined amount of Rs. 72,000 such that simple interest in 2 years at 10% per annum on the first part is the same as the simple interest in 2 years at 15% per annum on the second part. What is the interest in 2 years at 10% per annum on the first part?a)Rs. 8,165b)Rs. 8,260c)Rs. 8,470d)Rs. 8,640Correct answer is option 'D'. Can you explain this answer?
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Rajdeep lent out a combined amount of Rs. 72,000 such that simple interest in 2 years at 10% per annum on the first part is the same as the simple interest in 2 years at 15% per annum on the second part. What is the interest in 2 years at 10% per annum on the first part?a)Rs. 8,165b)Rs. 8,260c)Rs. 8,470d)Rs. 8,640Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Rajdeep lent out a combined amount of Rs. 72,000 such that simple interest in 2 years at 10% per annum on the first part is the same as the simple interest in 2 years at 15% per annum on the second part. What is the interest in 2 years at 10% per annum on the first part?a)Rs. 8,165b)Rs. 8,260c)Rs. 8,470d)Rs. 8,640Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rajdeep lent out a combined amount of Rs. 72,000 such that simple interest in 2 years at 10% per annum on the first part is the same as the simple interest in 2 years at 15% per annum on the second part. What is the interest in 2 years at 10% per annum on the first part?a)Rs. 8,165b)Rs. 8,260c)Rs. 8,470d)Rs. 8,640Correct answer is option 'D'. Can you explain this answer?.
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