If Rs. 125 becomes Rs. 340 in 5 years at simple interest, the rate percentage p.a. is

Question

If Rs. 125 becomes Rs. 340 in 5 years at simple interest, the rate percentage p.a. is (A) 34.4 % (B) 26.8 % (C) 38.2 % (D) 19.4 %

Tardigrade Admin · Accepted Answer

Here, mathrmP= Rs. 125 ; mathrmA= Rs. 340 ; Time =5 years S.I. = Rs. (340-125)= Rs. 215 Let R be the rate of interest per annum ∴ mathrmR=((100 × text S.I. / mathrmP × mathrmT)) % =(100 × 215/125 × 5)=(172/5) % =34.4 %

Q. If Rs. 125 becomes Rs. 340 in 5 years at simple interest, the rate percentage p.a. is

$34.4%$

$26.8%$

$38.2%$

$19.4%$

Here, $P =$ Rs. $125; A =$ Rs. $340;$ Time $= 5$ years
S.I. $=$ Rs. $(340 - 125) =$ Rs. 215
Let $R$ be the rate of interest per annum
$∴ R = (\frac{100 \times S.I.}{P \times T}) % = \frac{100 \times 215}{125 \times 5} = \frac{172}{5} %$
$= 34.4%$

Q. If Rs. 125 becomes Rs. 340 in 5 years at simple interest, the rate percentage p.a. is

34.4%

26.8%

38.2%

19.4%

Here, P= Rs. 125;A= Rs. 340; Time =5 years S.I. = Rs. (340−125)= Rs. 215 Let R be the rate of interest per annum ∴R=(P×T100× S.I. ​)%=125×5100×215​=5172​% =34.4%

$34.4%$

$26.8%$

$38.2%$

$19.4%$

Here, $P =$ Rs. $125; A =$ Rs. $340;$ Time $= 5$ years
S.I. $=$ Rs. $(340 - 125) =$ Rs. 215
Let $R$ be the rate of interest per annum
$∴ R = (\frac{100 \times S.I.}{P \times T}) % = \frac{100 \times 215}{125 \times 5} = \frac{172}{5} %$
$= 34.4%$