Rohan deposited ₹500 for 2 years, ₹650

Rohan deposited ₹500 for 2 years, ₹650 for 4 years and ₹1,300 for 6 years, at the same rate of interest. He received the total simple interest of ₹1,140. What is the rate of interest per annum?
रोहन ने समान ब्याज दर पर 2 वर्षों के लिए ₹500, 4 वर्षो के लिए ₹650 और 6 वर्षो के लिए ₹ 1,300 जमा किए। उसे कुल साधारण ब्याज ₹ 1, 140 प्राप्त हुआ। वार्षिक ब्याज दर ज्ञात कीजिए।

10% 11% 10.5% 9.5

Detailed Solution & Logic

Correct Answer:

10%

Deposits
₹500 for 2 years
₹650 for 4 years
₹1300 for 6 years
Rate of interest = r% p.a.
Total Simple Interest = 1140
SI = $\dfrac {(500 \times 2 + 650 \times 4 + 1300 \times 6) \times r}{100} $
$ = \dfrac{(1000 + 2600 + 7800)r}{100} $
$ = \dfrac{11400r}{100} $
$ \dfrac{11400r}{100} = 1140 $
114r = 1140
r = 10
Rate of interest = 10% per annum

Rohan deposited ₹500 for 2 years, ₹650

Detailed Solution & Logic

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