Verified by Ajay Kumar
A sum of ₹5,000 amounts to ₹6,500 in 3 years at simple interest. If the rate of interest is doubled, what will be the amount of the same sum in 5 years?
₹9,000
₹10,000
₹8,500
₹11,000
Answer: B
Solution: Interest for 3 years \(=6500-5000=1500\). Annual simple interest \(=1500\div3=500\), so the original rate is \(\frac{500}{5000}\times100=10\%\). The doubled rate is 20%. Interest for 5 years \(=\frac{5000\times20\times5}{100}=5000\). Amount \(=5000+5000\) = ₹10,000. Trick: First find the original rate from the given interest, then double the rate and calculate the new simple interest.
साधारण ब्याज पर ₹5,000 की राशि 3 वर्षों में ₹6,500 हो जाती है। यदि ब्याज की दर दोगुनी कर दी जाए, तो उसी राशि का 5 वर्षों बाद मिश्रधन कितना होगा?
₹9,000
₹10,000
₹8,500
₹11,000
उत्तर: B
हल: 3 वर्षों का ब्याज \(=6500-5000=1500\)। वार्षिक साधारण ब्याज \(=1500\div3=500\), इसलिए मूल दर \(\frac{500}{5000}\times100=10\%\) है। दोगुनी दर 20% होगी। 5 वर्षों का ब्याज \(=\frac{5000\times20\times5}{100}=5000\)। मिश्रधन \(=5000+5000\) = ₹10,000। ट्रिक: पहले दिए गए ब्याज से मूल दर निकालें, फिर दर दोगुनी करके नया साधारण ब्याज ज्ञात करें।
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