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1/7 of a money is deposited at 4% per annum , ½ of a money deposited at 5% per annumand the remaining at the rate of 6%, then total interest gained `730 find deposit amount is. |
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Answer» Answer: deposited amount is 14000 Step-by-step explanation: Let, 'X' be the deposited amount
amount deposited at 6% rate=x -(1/7 of x + 1/2 of x) =x -(x/7 + x/2) =x - (2x+7x)/14 =x - 9X/14 =(14x - 9x)/14 =5/14 of x According to the condition of the question => 4% of (1/7 of x) +5% of (1/2 of x) +6% of (5/14 of x) =730 => 4/100(x/7) +5/100(x/2) +6/100(5x/14) =730 => 4x/700 +5x/200 + 30x/1400 =730 => (8X +35x + 30x)/1400 =730 => 73x/1400 = 730 => x = (730*1400)/73 => x = 10*1400 => x= 14000 so, deposited amount = 14000 |
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