# Quantitative Aptitude – Arithmetic

## Slot – 1 – Quantitative Aptitude – Arithmetic – A person invested a total amount of Rs 15 lakh

Q. A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was?

Solution: Final interest at the end of the year = 76000,
Interest rate = 76000/1500000 *100 = 76/15 = 5 1/15
Combine interest rate from amount deposited at 4% and 3% interest rate = (4*2 + 3)/(2+1) =11/3 %
Let the amount ratio of amount deposited in fixed deposit and other deposit be x:y so
x/y = ( 76/15 -11/3 )/(6 – 76/15)
x/y = (76-55)/(90 -76) = 19:14
amount deposited in 6% = 19/33 *15 =8.63 lakh = 9 lakh

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