Question

Alok lent out *5,500 at 12% and 6800 at 9% per annum. Find the total interest earned by him in 2 years.​

Answer 1

Answer:

6,899.2 and 8,079.08

Step-by-step explanation:

I think it's correct

I'm not sure

Answer 2

$\large\underline{\underline{\red{\pmb{\sf{ \:Given :-}}}}}$

• Alok lent 5500 at 12 % and 6800 at 9 % per annum .

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$\large\underline{\underline{\blue{\pmb{\sf{ \:To \: Find :-}}}}}$

• Find the total interest earned by him in 2 years.

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$\large\underline{\underline{\pink{\pmb{\sf{ \:Solution :-}}}}}$

Formula Used :

$\large{\red{\bigstar}} \: \: \: {\underline{\boxed{\color{darkblue}{\sf{ C.I = P \bigg\lgroup 1 + \dfrac{R}{100}\bigg\rgroup^T - P }}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━}$

~ Calculating the Compound interest in first case :

Here :

• ➳ P = 5500
• ➳ R = 12 %
• ➳ T = 2 years

Calculation Starts :

${\longmapsto{\qquad{\sf{ C.I = P \bigg\lgroup 1 + \dfrac{R}{100}\bigg\rgroup^T - P}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_1 = 5500 \bigg\lgroup 1 + \dfrac{12}{100}\bigg\rgroup^2 - 5500 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_1 = 5500 \bigg\lgroup \dfrac{112}{100}\bigg\rgroup^2 - 5500 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_1 = 5500 \bigg\lgroup \cancel\dfrac{112}{100}\bigg\rgroup^2 - 5500 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_1 = 5500 \times (1.12)^2 - 5500 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_1 = 5500 \times 1.2544 - 5500 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_1 = 6899.2 - 5500 }}}} \\ \\ {\qquad{\sf{ C.I_1 \: = {\sf{\color{orange}{₹ \: 1399.2(Approx) }}}}}}$

~ Calculating the compound interest in second case :

Here :

• ➳ P = 6800
• ➳ R = 9 %
• ➳ T = 2 years

Calculation Starts :

${\longmapsto{\qquad{\sf{ C.I = P \bigg\lgroup 1 + \dfrac{R}{100}\bigg\rgroup^T - P}}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_2 = 6800 \bigg\lgroup 1 + \dfrac{9}{100}\bigg\rgroup^2 - 6800 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_2 = 6800 \bigg\lgroup \dfrac{109}{100}\bigg\rgroup^2 - 6800 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_2 = 6800 \bigg\lgroup \cancel\dfrac{109}{100}\bigg\rgroup^2 - 6800 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_2 = 6800 \times (1.09)^2 - 5500 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_2 = 6800 \times 1.1881 - 6800 }}}} \\ \\ {\longmapsto{\qquad{\sf{ C.I_2 = 8079.08 - 5500 }}}} \\ \\ {\qquad{\sf{ C.I_2 \: = {\sf{\color{red}{₹ \: 1279.08(Approx) }}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━}$

~ Calculating the Total Interest earned :

${\dashrightarrow{\qquad{\sf{ Total \: Interest \: = C.I_1 + C.I_2}}}} \\ \\ {\dashrightarrow{\qquad{\sf{ Total \: Interest = ₹ \: 1399.2 + ₹ \: 1279.08 }}}} \\ \\ {\qquad{\sf{ Interest \: Earned {\small_{(Total) }} = {\sf{\color{purple}{₹ \: 9478.28(Approx)}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━}$

Therefore :

❝ Alok earned a total interest of ₹ 9478.28(Approx) .❞

${\purple{\underline{\pink{✬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬✬}}}}$