Question

How long will rs1500 take to yield of simple interest of rs 80 at 8 percent per annum ?
(A) 6 months
(b) 9 months
(c) 8 months
(d) 7 months

Answer 1

⠀⠀ $\huge\bf\underline\color{green}{\underline{correct~Question :) }}$

${: \longrightarrow}$How long will ₹1500 take to yield of simple interest of ₹80 at 8% per annum ?

$\huge\mathfrak\blue\star$6 months

$\huge\mathfrak\blue\star$9 months

$\huge\mathfrak\blue\star$8 months

$\huge\mathfrak\blue\star$7 months

$\huge{\rm{Required \ Answer :) }}$

$\pink{ \frak{Given}} \begin{cases} \sf \: Principal \: (P) = Rs. 1500 \\ \\ \sf \: Rate \: (R) = 8 \% \\ \\ \sf \: Simple \: Interest \: (SI) = Rs. 80 \\ \\ \sf \: Time \: (T) =? \end{cases}$

☯$\underline{\boldsymbol{According\: to \:the\: Question:}}$

$: \implies \displaystyle \sf \: Time \: (T) = \frac{100 \times SI}{P \times R}$

$: \implies \displaystyle \sf \: Time \: (T) = \frac{100 \times 80}{1500 \times 8}$

$: \implies \displaystyle \sf \: Time \: (T) = \frac{8000}{1500 \times 8}$

$: \implies \displaystyle \sf \: Time \: (T) = \frac{1000}{1500}$

$: \implies \displaystyle \sf \: Time \: (T) = \frac{10}{15}$

$: \implies \underline{ \boxed{\displaystyle \sf \: Time \: (T) = \frac{2}{3} \: years}}$

___________________…

$\\ \dashrightarrow \displaystyle \sf \: Time \: (T) = \frac{2}{3} \: years$

$\dashrightarrow \displaystyle \sf \: Time \: (T) = \frac{2}{3} \times 12 \: months$

$\dashrightarrow \displaystyle \sf \: Time \: (T) = 2 \times 4 \: months$

$\dashrightarrow \underline{ \boxed{\displaystyle \sf \: \bold{Time \: (T) = 8 \: months}}}$

Answer 2

Answer:

Answer:-

(C) 8 months

Explanation:

Let the month be x.

80 = $\frac{1500\:×\:8\:×\:x} {100\:×\:12}$

x = $\frac{80\:×\:100\:×\:12} {1500\:×\:8}$

$\frac{10\:×\:12} {15}$

= 8

∴ 8 months is the correct option.