In how many years will a certain sum become $3$ times itself at $25 %$ per annum under simple interest?
(a) $5$
(b) $8$
(c) $12$
(d) $6$

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Solution

If the sum be $P$ .
Amount $(A) = 3 \times P = 3 P$
Simple interest $(S . I) = A - P = 3 P - P = 2 P$
Let the sum (P) be $x$ .
Then, simple interest $(S . I) = 2 x$
Rate of interest $(R) = 25 %$
Time $= T$
$S . I = \frac{P \times R \times T}{100}$
$\Rightarrow T = \frac{100 \times S . I}{P \times R}$
$= \frac{100 \times 2 x}{x \times 25}$
$= 4 \times 2$
$= 8$
Hence, $8$ years required.
Hence, the correct option is (b).

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In how many years will a certain sum become 3 times itself at 25% per annum under simple interest?(a) 5(b) 8(c) 12(d) 6

If the sum be P.Amount (A)=3×P=3PSimple interest (S.I)=A−P=3P−P=2PLet the sum (P) be x.Then, simple interest (S.I)=2xRate of interest (R)=25%Time =TS.I=P×R×T100⇒T=100×S.IP×R =100×2xx×25=4×2=8Hence, 8 years required.Hence, the correct option is (b).

In how many years will a certain sum become $3$ times itself at $25 %$ per annum under simple interest?
(a) $5$
(b) $8$
(c) $12$
(d) $6$