₹500 is invested at 12% per annum simple interest, and a certain sum is invested at 10% per annum simple interest. If the total interest on both sums after 4 years is ₹480, what is the second sum?
₹500 is invested at 12% per annum simple interest, and a certain sum is invested at 10% per annum simple interest. If the total interest on both sums after 4 years is ₹480, what is the second sum?
500 रुपये 12% प्रति वर्ष साधारण ब्याज पर निवेश किए गए और एक निश्चित राशि 10% प्रति वर्ष साधारण ब्याज पर निवेश की गई। यदि 4 वर्षों के बाद दोनों राशियों पर ब्याज का योग 480 रुपये है, तो बाद वाली राशि क्या होगी?
Detailed Solution & Logic
Correct Answer:
Rs 600
Interest from ₹500 at 12% for 4 years:
$I_1 = \frac{500 \times 12 \times 4}{100} = 240$
Total interest = ₹480
So, interest from second sum:
$I_2 = 480 - 240 = 240$
Let second sum = $x$
$I_2 = \frac{x \times 10 \times 4}{100} = 0.4x$
So,
$0.4x = 240 \Rightarrow x = \frac{240}{0.4} = 600$
Final Answer: ₹600
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