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?
10%
Using the simple interest formula: SI = (P × R × T) ÷ 100
Total interest from all deposits:
(500 × R × 2) ÷ 100 + (650 × R × 4) ÷ 100 + (1300 × R × 6) ÷ 100 = 1,140
(1000R + 2600R + 7800R) ÷ 100 = 1,140
11,400R ÷ 100 = 1,140
R = (1,140 × 100) ÷ 11,400 = 10%
Thus, the correct answer is 10%.
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