At what rate per cent per year will a sum double itself in $5.55$ years ?

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Solution

The correct option is D $18$ %
Given $T = 5.55$ and that $A m o u n t = 2 \times P r i n c i p l e$
$A m o u n t = P + S I = 2 P$
$S I = P$ and $S I = \frac{P R T}{100}$
$\Rightarrow P = \frac{P R T}{100}$
$\Rightarrow R T = 100$
$\Rightarrow R = \frac{100}{T} = \frac{100}{5.55} = 18$
At a rate of $18$ % per year, a sum will double itself in $5.55$ years.

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At what rate per cent per year will a sum double itself in 5.55 years ?

The correct option is D 18%Given T=5.55 and that Amount=2×PrincipleAmount=P+SI=2PSI=P and SI=PRT100⇒P=PRT100⇒RT=100⇒R=100T=1005.55=18 At a rate of 18% per year, a sum will double itself in 5.55 years.

At what rate per cent per year will a sum double itself in $5.55$ years ?