Rs. x x x is invested in scheme A at compound interest rate of r % r% r % per annum compounded annually for t t t years. The same amount is invested i...

Question

Rs. xx is invested in scheme A at compound interest rate of r%r% per annum compounded annually for tt years. The same amount is invested in scheme B at compound interest rate of p%p% per annum compounded half-yearly for tt years. If the interest earned from both schemes is equal, which of the following pairs of (r,p)(r, p) (both integers) satisfy this condition?

(i) (20,24)(20, 24)

(ii) (24,30)(24, 30)

(iii) (44,40)(44, 40)

(iv) (21,20)(21, 20)

(v) (12,16)(12, 16)

Options

A.

Only (ii) and (iv)

B.

Only (i), (ii) and (iv)

C.

Only (ii) and (iii)

D.

Only (iii) and (iv)

E.

Only (i), (ii) and (v)

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