Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : ₹100 / ₹100

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Detailed Solution

सही उत्तर ₹100 / ₹100 है।

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Question:

A sum of money amounts to ₹12,100 in 2 years at 10% per annum compound interest, compounded annually. What is the difference between the compound interest and the simple interest earned on the same sum at the same rate over the same period? / कोई धनराशि 10% वार्षिक चक्रवृद्धि ब्याज (वार्षिक संयोजित) पर 2 वर्षों में ₹12,100 हो जाती है। उसी धनराशि पर उसी दर से उसी अवधि में अर्जित चक्रवृद्धि ब्याज और साधारण ब्याज में कितना अंतर है?

1.
₹100 / ₹100
2.
₹200 / ₹200
3.
₹210 / ₹210
4.
₹121 / ₹121

Correct Answer: ₹100 / ₹100

Principal $P = 12100/(1.10)^2 = 12100/1.21 = 10000$. The difference for 2 years is $D = P(r/100)^2 = 10000 \times (10/100)^2 = 100$. So the difference is ₹100. / मूलधन $P = 12100/(1.10)^2 = 12100/1.21 = 10000$। 2 वर्षों का अंतर $D = P(r/100)^2 = 10000 \times (10/100)^2 = 100$। अतः अंतर ₹100 है।

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