Question
The difference between the compound interest and simple interest on a sum for $3$ years at $10\%$ per annum is $₹310$. What is the sum? / किसी धनराशि पर $3$ वर्ष के लिए $10\%$ वार्षिक दर से चक्रवृद्धि ब्याज और साधारण ब्याज का अंतर $₹310$ है। धनराशि क्या है?
Option 2 : $₹10000$ / $₹10000$
Detailed Solution
सही उत्तर $₹10000$ / $₹10000$ है।
For $P = ₹10000$: SI $= 3000$, amount $= 10000 \times (1.1)^3 = ₹13310$, CI $= 3310$. Difference $= 3310 - 3000 = ₹310$, so the sum is $₹10000$. / $P = ₹10000$ के लिए: साधारण ब्याज $= 3000$, मिश्रधन $= 10000 \times (1.1)^3 = ₹13310$, चक्रवृद्धि ब्याज $= 3310$। अंतर $= 3310 - 3000 = ₹310$, अतः धनराशि $₹10000$ है।
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Question:
The difference between the compound interest and simple interest on a sum for $3$ years at $10\%$ per annum is $₹310$. What is the sum? / किसी धनराशि पर $3$ वर्ष के लिए $10\%$ वार्षिक दर से चक्रवृद्धि ब्याज और साधारण ब्याज का अंतर $₹310$ है। धनराशि क्या है?
Correct Answer: $₹10000$ / $₹10000$
For $P = ₹10000$: SI $= 3000$, amount $= 10000 \times (1.1)^3 = ₹13310$, CI $= 3310$. Difference $= 3310 - 3000 = ₹310$, so the sum is $₹10000$. / $P = ₹10000$ के लिए: साधारण ब्याज $= 3000$, मिश्रधन $= 10000 \times (1.1)^3 = ₹13310$, चक्रवृद्धि ब्याज $= 3310$। अंतर $= 3310 - 3000 = ₹310$, अतः धनराशि $₹10000$ है।