The difference between the compound interest and simple interest on a certain…
2024
The difference between the compound interest and simple interest on a certain amount at 5% per annum for 2 years is Rs. 15. The principal amount is equal to :
- A.
2,000
- B.
4,000
- C.
6,000
- D.
8,000
Attempted by 13 students.
Show answer & explanation
Correct answer: C
Step 1: The difference between compound interest (CI) and simple interest (SI) for 2 years is given by the formula:
Difference = P × (r/100)²
Step 2: Substitute the given values: Difference = 15, r = 5.
15 = P × (5/100)²
15 = P × 0.0025
Step 3: Solve for P:
P = 15 / 0.0025 = 6,000
हिन्दी उत्तर:
चरण 1: 2 वर्षों के लिए चक्रवृद्धि ब्याज और सरल ब्याज का अंतर निम्नलिखित सूत्र द्वारा दिया जाता है: अंतर = P × (r/100)²
चरण 2: दिए गए मानों को प्रतिस्थापित करें: अंतर = 15, r = 5।
15 = P × (5/100)²
15 = P × 0.0025
चरण 3: P के लिए हल करें:
P = 15 / 0.0025 = 6,000