Question

find the simple interest and the amount of principal =rs 5,000 rate is = to 9% and t is = to 146 days​

Answer 1

Answer: ₹180

Step-by-step explanation: Principal = ₹ 5000

                                             Rate = 9% p.a.

                                             Time = 146 days = 146/365 years = 2/5 years

  ∴ Simple Interest = PRT/100 = 5000 x 9 x 2/5 x 100

                                                    = 10 x 9 x 2 = ₹180

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Simple\:interest=180\:rupees}}}$

$\green{\therefore{\text{Amount=5180\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Time (t)= 146\:days} \\ \\ : \implies \text{Principal(p) = 5000\:rupees} \\ \\ : \implies \text{Rate(r) = 9\%} \\ \\ \red{ \underline \bold{To \: Find: }} \\ : \implies \text{Simple\:interest(S.I) = ?}$

• According to given question :

$\bold{As \: we \: know \: that } \\ \circ \: \text{Simple \: interest} = \frac{ \text{Principal }\times \text{ Rate} \times \text{Time}}{100} \\ \\ \bold{Putting \: given \: values} \\ : \implies S.I = \frac{p \times r \times t}{100} \\ \\ : \implies S.I = \frac{5000 \times 9\times\frac{146}{365} }{100} \\ \\ : \implies S.I = \frac{450 \times146 }{365 } \\ \\ \green{ : \implies \text{S.I= 180\: rupees}} \\ \\ \green{ \therefore \text{Simple\:interest =180\: rupees}} \\ \\ :\implies Amount=S.I+principal\\\\ \green{:\implies\text{Amount=180+5000=5180\:rupees}} \\\\ \bold{Basic \: formula\:related\:to\:C.I} \\ \circ \: A = p(1 + \frac{r}{100} )^{t}$