Question

Find the amount and compound interest of 8000for 3 year at 15%per annum

Answer 1

Aиѕωєr —

Amount = Rs 12167

Compound Interest = Rs 4167

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Giνєи Iиfσrмαтiσи —

Principal = Rs 8000

Time = 3 years

Rate = 15% per annum

Tσ Fiиd —

Amount and compound interest

Usiиg Fσrмυℓαѕ —

$\qquad \boxed{\begin{array}{cc} \bigstar{\large\mathfrak{Amount =p\left(1+\dfrac{R}{100}\right)^t}}\bigstar \\ \\ \bigstar{\large\mathfrak{Compound\: interest=Amount-Principal}}\bigstar \\ \\ \end{array}}$

Sσℓυтiσи –

✪ Aмσυит :

$\qquad\qquad\rm{\mapsto Amount=P\left(1+\dfrac{R}{100}\right)^t}$

$\qquad\qquad\rm{\mapsto Amount = 8000\left(1+\dfrac{15}{100}\right)^3}$

$\qquad\qquad\rm{\mapsto Amount =8000\left(\dfrac{100+15}{100}\right)^3}$

$\qquad\qquad\rm{\mapsto Amount =8000\left(\dfrac{115}{100}\right)^3}$

$\qquad\qquad\rm{\mapsto Amount =8000\times \dfrac{115}{100}\times \dfrac{115}{100}\times \dfrac{115}{100}}$

$\qquad\qquad\rm{\mapsto Amount = \cancel{ \dfrac{12167000000}{1000000}}}$

$\qquad\qquad\bold{\mapsto Amount =12167}\huge{\dag}$

➙Therefore, Amount = Rs 12167

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✪ Cσмρoυи∂ Iитєrєѕт :

$\qquad\qquad\rm{\mapsto CI= Amount -Principal}$

$\qquad\qquad\rm{\mapsto CI =12167-8000}$

$\qquad\qquad\bold{\mapsto CI= 4167}\huge{\dag}$

➙Therefore, Compound Interest = Rs 4167

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