Amit invests a sum of ₹5400
Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the same rate of simple interest per annum. If, at the end of 3 years, Gopal gets ₹840 more interest than Amit, then find the rate of interest per annum (in percentage).
वार्षिक साधारण ब्याज की समान दर पर अमित ₹5400 की राशि का निवेश करता है और गोपाल ₹9400 की राशि का निवेश करता है। यदि 3 वर्ष के अंत में, गोपाल को अमित से ₹840 अधिक ब्याज प्राप्त होता हैं, तो वार्षिक ब्याज की दर (प्रतिशत में) ज्ञात कीजिए।
Detailed Solution & Logic
7
Amit’s principal = 5400
Gopal’s principal = 9400
Rate of interest = r% p.a.
Time = 3 years
Simple Interest of Amit = $ \dfrac{5400 \times r \times 3}{100} $
Simple Interest of Gopal = $ \dfrac{9400 \times r \times 3}{100} $
Given difference of interest = 840
$ \dfrac{(9400 - 5400)\times r \times 3}{100} = 840 $
$ \dfrac{4000 \times r \times 3}{100} = 840 $
120r = 840
r = 7
Rate of interest = 7% per annum
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