Question

in how many years does the sum of 1200 became 1800 at the rate of simple intrest of 5% per annum​

Answer 1

Answer:

$\large{\underline{\underline{\sf {\pmb{\maltese{{Given}}}}}}}$

• ➠ Amount = 1800
• ➠ Principle = 1200
• ➠ Rate = 5% per annum

$\large{\underline{\underline{\sf {\pmb{\maltese{{To \: Find}}}}}}}$

• ➠ Time

$\large{\underline{\underline{\sf {\pmb{\maltese{{Using \: Formulae}}}}}}}$

$\circ \underline{\boxed {\sf \purple{S.I = Amount-Principal}}}$

$\circ\underline{ \boxed{\sf \purple{Time = \dfrac{S.I \times 100}{P \times R} }}}$

$\large{\underline{\underline{\sf {\pmb{\maltese{{Solution}}}}}}}$

${\bf \pink\clubsuit \: \underline\frak { \pmb{ Firstly,finding \: the \: Simple \: Interest }}}$

$: \implies{\sf{S.I = Amount-Principal}}$

• ➛ Substituting the values

$: \implies{\sf{S.I =1800-1200}}$

$: \implies{\sf{S.I =600}}$

$\bigstar{\underline {\boxed{\bf \red{S.I =600}}}}$

• ★ Hence,The Simple Interest is 600.

${\bf \pink\clubsuit \: \underline\frak{ \pmb{Now,Finding \: the \: Time }}}$

${ : \implies\sf{Time = \dfrac{S.I \times 100}{P \times R} }}$

• ➛ Substituting the values

${ : \implies\sf{Time = \dfrac{600 \times 100}{1200 \times 5} }}$

${ : \implies\sf{Time = \dfrac{60000}{6000} }}$

${ : \implies\sf{Time = \cancel\dfrac{60000}{6000} }}$

${ : \implies\sf{Time = 10 \: years}}$

$\bigstar\underline{\boxed{\bf \red{Time = 10 \: years}}}$

• ★ Henceforth,The Time is 10 years.

$\large{\underline{\underline{\sf {\pmb{\maltese{{Know \: more}}}}}}}$

★ Formula of Simple Interest (S.I)

$: \implies\sf \purple{S.I = \dfrac{P \times R \times T}{100}}$

★ Formula of Principle(P) if Amount and Interest given

• $: \implies\sf \purple{P=Amount - Interest}$

★ Formula of Principle (P) if Interest,time and rate given

• $: \implies\sf \purple{P = \dfrac{Interest \times 100 }{Time \times Rate}}$

★ Formula of Principle (P) if amount,time and rate given

• $: \implies\sf \purple{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}}$

★ Formula of Amount if Principle (P) and Interest (I) given

• ${: \implies \sf \purple{Amount = Principle + Interest }}$

Answer 2

$❥\huge\red{\underline{{\bf A}}}\huge\orange{\underline{{\bf n}}}\huge\green{\underline{{\bf s}}}\huge\blue{\underline{{\bf w}}}\huge\purple{\underline{{\bf e}}}\huge\pink{\underline{{\bf r}}}$

5 × 12 = 60 %

100 + 60 = 160 % = Rs 1 800 FV

PV 100 % = [100 ÷ 160] × Rs 1 800

= Rs 1 125

SI = FV - PV

=1 800 - 1 125

= Rs 675

Proof: I = Prt = 1 125 × 12% × 5 yrs

=Rs 675