In the given question, three quantities are given, one as Quantity I, Quantity II and Quantity III. You have to determine relationship between three quantities and choose the appropriate option.(Only quantity is to be considered).

Rakesh's sum of ₹4000 is invested in a scheme that offers a 20% rate of interest for ‘x’ years. The nature of interest is not known, it can be either simple or compound. Find the value of ‘x’

Quantity I: The interest amount received is ₹1200 when the nature of interest is simple interest. 

Quantity II: The interest amount received is ₹1760 when the nature of interest is annually compounded. 

Quantity III: The interest amount received is 1324 when the nature of interest is half-yearly compounded.

1
(Quantity III)Quantity II = (Quantity I) x (Quantity III) < (QuantityII)2
2
(Quantity I)Quantity II = (Quantity I) x (Quantity III) = (QuantityI)2
3
(QuantityII)2 = (QuantityI) x (Quantity II) > (QuantityIII)
4
(QuantityII) x (Quantity I) ≥ (Quantity II) = (Quantity III)
5
Both option 1 and 2 are true

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