Mr. Sharma invests a certain amount of money in four different banks: Bank A, Bank B, Bank C, and Bank D. The rate of interest at Bank A is 5% per annum, at Bank B is 7% per annum, at Bank C is 9% per annum, and at Bank D is 11% per annum. After 2 years, he received a total interest of Rs. 18,000. The amount of money invested in Bank A is one-third of the amount invested in Bank B, the amount invested in Bank C is half of the amount invested in Bank B, and the amount invested in Bank D is three-fourths of the amount invested in Bank C. Find the principal amount invested in Bank C.
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