Verified by Ajay Kumar
A person invested a certain sum of money at 10% per annum simple interest. After 4 years, the interest earned was ₹3,600 less than the sum invested. What was the sum invested?
₹7000
₹6000
₹6500
₹9000
Answer: B
Solution: For 4 years at 10% simple interest, \(SI=\frac{P\times10\times4}{100}=0.4P\). Given \(P-SI=3600\), so \(P-0.4P=3600\Rightarrow0.6P=3600\Rightarrow P=6000\). The invested sum is ₹6000. Trick: The interest is 40% of the principal, so the difference is 60% of the principal.
एक व्यक्ति ने एक निश्चित राशि को 10% वार्षिक साधारण ब्याज पर निवेश किया। 4 वर्षों बाद, अर्जित ब्याज निवेश की गई राशि से ₹3,600 कम था। निवेश की गई राशि कितनी थी?
₹7000
₹6000
₹6500
₹9000
उत्तर: B
हल: 10% वार्षिक साधारण ब्याज पर 4 वर्षों का ब्याज \(SI=\frac{P\times10\times4}{100}=0.4P\) होगा। दिया है \(P-SI=3600\), इसलिए \(P-0.4P=3600\Rightarrow0.6P=3600\Rightarrow P=6000\)। निवेश की गई राशि ₹6000 है। ट्रिक: ब्याज मूलधन का 40% है, इसलिए दोनों का अंतर मूलधन का 60% होगा।
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