Find the amount to be paid by Sanika at the end of 3 years , if the pr

1.	Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a.
Answer» ong>Given : The time is 3yrs , Rate of Interest is 10 % P.a & the PRINCIPAL is ₹ 12,000 . NEED To Find : The Amount in both cases [ If there is Simple Interest or if there is compund interest. ] ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ⠀⠀⠀⠀Finding Amount if there is Simple - Interest : $\dag\:\:\it{ As,\:We\:know\:that\::}\\$ $\qquad \dag\:\:\bigg\lgroup \sf{ Amount \:: P + \bigg( \dfrac{P \times R \times T }{100} \bigg)}\bigg\rgroup \\\\$ ⠀⠀⠀⠀Here P is the Principal , R is the Rate and T is the time . ⠀⠀⠀⠀⠀⠀ $\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\$ $\qquad \longmapsto \sf Amount = 12,000 + \bigg( \dfrac{12,000 \times 10 \times 3 }{100} \bigg)\\$ $\qquad \longmapsto \sf Amount = 12,000 + \bigg( \dfrac{12,0\cancel{00} \times 10 \times 3 }{\cancel {100}} \bigg)\\$ $\qquad \longmapsto \sf Amount = 12,000 + \bigg( 120 \times 10 \times 3 \bigg)\\$ $\qquad \longmapsto \sf Amount = 12,000 + \bigg( 120 \times 30 \bigg)\\$ $\qquad \longmapsto \sf Amount = 12,000 + 3,600 \\$ $\qquad \longmapsto \frak{\underline{\purple{\:Amount = Rs.15,600 }} }\bigstar \\$ Therefore, ⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm {\:Amount\:to\:be\:paid \:when\:there\:is\:Simple \:Interest \:is\:\bf{Rs.\:\:15,600}}}}\\$ ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ ⠀⠀⠀⠀Finding Amount if there is Compound - Interest : $\dag\:\:\it{ As,\:We\:know\:that\::}\\$ $\qquad \dag\:\:\bigg\lgroup \sf{ Amount \:: P \bigg( 1 + \dfrac{ R }{100} \bigg)^T}\bigg\rgroup \\\\$ ⠀⠀⠀⠀Here P is the Principal , R is the Rate and T is the time . ⠀⠀⠀⠀⠀⠀ $\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\$ $\qquad \longmapsto \sf Amount = 12,000 \bigg( 1 + \dfrac{ 10 }{100} \bigg)^3 \\$ $\qquad \longmapsto \sf Amount = 12,000 \bigg( 1 + 0.1 \bigg)^3 \\$ $\qquad \longmapsto \sf Amount = 12,000 \bigg( 1.1 \bigg)^3 \\$ $\qquad \longmapsto \sf Amount = 12,000 \times 1.331 \\$ $\qquad \longmapsto \frak{\underline{\purple{\:Amount = Rs.15,972 }} }\bigstar \\$ Therefore, ⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm {\:Amount\:to\:be\:paid\:when\:there\:is\:Compound \:Interest \:is\:\bf{Rs.\:\:15,972}}}}\\$ ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a.

Answer»

ong>Given : The time is 3yrs , Rate of Interest is 10 % P.a & the PRINCIPAL is ₹ 12,000 .

NEED To Find : The Amount in both cases [ If there is Simple Interest or if there is compund interest. ]

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀Finding Amount if there is Simple - Interest :

$\dag\:\:\it{ As,\:We\:know\:that\::}\\$

$\qquad \dag\:\:\bigg\lgroup \sf{ Amount \:: P + \bigg( \dfrac{P \times R \times T }{100} \bigg)}\bigg\rgroup \\\\$

⠀⠀⠀⠀Here P is the Principal , R is the Rate and T is the time .

⠀⠀⠀⠀⠀⠀ $\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\$

$\qquad \longmapsto \sf Amount = 12,000 + \bigg( \dfrac{12,000 \times 10 \times 3 }{100} \bigg)\\$

$\qquad \longmapsto \sf Amount = 12,000 + \bigg( \dfrac{12,0\cancel{00} \times 10 \times 3 }{\cancel {100}} \bigg)\\$

$\qquad \longmapsto \sf Amount = 12,000 + \bigg( 120 \times 10 \times 3 \bigg)\\$

$\qquad \longmapsto \sf Amount = 12,000 + \bigg( 120 \times 30 \bigg)\\$

$\qquad \longmapsto \sf Amount = 12,000 + 3,600 \\$

$\qquad \longmapsto \frak{\underline{\purple{\:Amount = Rs.15,600 }} }\bigstar \\$

Therefore,

⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm {\:Amount\:to\:be\:paid \:when\:there\:is\:Simple \:Interest \:is\:\bf{Rs.\:\:15,600}}}}\\$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀Finding Amount if there is Compound - Interest :

$\dag\:\:\it{ As,\:We\:know\:that\::}\\$

$\qquad \dag\:\:\bigg\lgroup \sf{ Amount \:: P \bigg( 1 + \dfrac{ R }{100} \bigg)^T}\bigg\rgroup \\\\$

⠀⠀⠀⠀Here P is the Principal , R is the Rate and T is the time .

⠀⠀⠀⠀⠀⠀ $\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\$

$\qquad \longmapsto \sf Amount = 12,000 \bigg( 1 + \dfrac{ 10 }{100} \bigg)^3 \\$

$\qquad \longmapsto \sf Amount = 12,000 \bigg( 1 + 0.1 \bigg)^3 \\$

$\qquad \longmapsto \sf Amount = 12,000 \bigg( 1.1 \bigg)^3 \\$

$\qquad \longmapsto \sf Amount = 12,000 \times 1.331 \\$

$\qquad \longmapsto \frak{\underline{\purple{\:Amount = Rs.15,972 }} }\bigstar \\$

Therefore,

⠀⠀⠀⠀⠀ $\therefore {\underline{ \mathrm {\:Amount\:to\:be\:paid\:when\:there\:is\:Compound \:Interest \:is\:\bf{Rs.\:\:15,972}}}}\\$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a.

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Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a. ​

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Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a.