Question

was the rate of interest
8. Calculate the time in which 5,000 would
become 5.500 at an interest rate of 8% per
annum.
hank​

Answer 1

Answer:

$\underline{ \sf{ \underline{☃Question:}}}$

Calculate the time in which 5,000 would become 5.500 at an interest rate of 8% per annum.

$\underline{ \sf{ \underline{☃Given:}}}$

• Principal (p) = Rs.5000
• Amount (A) = Rs.5500
• Rate per Annum = 8%

${ \underline{ \sf{ \underline{ ☃Find:}}}}$

• Time = ?

${ \underline{ \sf{ \underline{ ☃Solution:}}}}$

We know that,

$\: \: \: \: \: \: \: { \boxed{ \rm {S.I = \frac{PRT}{100} }}}$

$\: \: \: \: \: \: \: \: { \boxed{ \rm{A=P+S.I}}}$

Let us take the formula of SI in second formula

${ \to{ \rm{A = P + \frac{PRT}{100} }}}$

${ \to{ \rm{A−P = \frac{PRT}{100} }}}$

${ \to{ \rm{5500 - 5000 = \frac{5000 \times 8 \times T}{100} }}}$

${ \to{ \rm{500 = \frac{40000 \times \: T }{100} }}}$

${ \to{ \rm{500 = 400T}}}$

${ \to{ \rm{T = \frac{500}{400} }}}$

${ \to{ \rm{T = \frac{5}{4} = 1.25 }}}$

${ \sf{Therefore, Time = 1.25 Years}}$

Answer 2

$\sf{\bold{\pink{\underline{\underline{Given :}}}}}$

• Principle = Rs. 5000
• Rate = 8%
• Amount = Rs. 5500

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find :}}}}}$

• Time

______________________

$\sf{\bold{\purple{\underline{\underline{Solution :}}}}}$

$\sf{\blue{\boxed{\bold{SI = \bigg\lgroup \dfrac{PRT}{100}\bigg\rgroup }}}}$

$\sf{\red{\boxed{\bold{A = P + SI }}}}$

$\sf{\bold{A = \bigg\lgroup P + \dfrac{PRT}{100}\bigg\rgroup }}$

$\sf{\bold{A - P = \bigg\lgroup \dfrac{PRT}{100}\bigg\rgroup }}$

Substitute the known values...

$\sf{\bold{ 5500 - 5000 = \bigg\lgroup \dfrac{500 × 8 × T}{100}\bigg\rgroup }}$

$\sf{\bold{ 500 = \bigg\lgroup \dfrac{40000 × T}{100}\bigg\rgroup }}$

$\sf{\bold{ 500 = 400 T }}$

$\sf{\bold{ T = \bigg\lgroup \dfrac{500}{400}\bigg\rgroup = 1.25 }}$

$\sf{\bold{\orange{\underline{\underline{Answer :}}}}}$

5,000 would become 5.500 at an interest rate of 8% per annum in a period of 1.25 years .