find the principal on which a simple interest of rs 55 a person deposited rs 400 for 2years, rs 550 for 4years and rs 1200 for 6 years at the same rate of simple interest. if he received a total interest of rs 1020 , what is the rate of interest per annum.
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Step-by-step explanation:
Let the rate of interest be R per cent per annum.
Given, total simple interest is 1020
\therefore \frac{400\times 2\times R}{100}+\frac{500\times 4\times R}{100} + \frac{1200\times 6\times R}{100} = 1020
=> 8R+22R+72R = 1020
=> 102R = 1020
=> R = \frac{1020}{102} = 10\%
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