At what rate percent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually?

• Anshusonalika
• 4 years ago
• Matematika

At what rate percent per annum will₹4000 amount to₹4410 in2 years when compounded annually?

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• 1 जवाब

• Bhavyamishra
• 4 years ago
• Report

Intrest =amount-principle
=4410-4000
=410

SI=(p×r×t)÷100
410=(4000×r×2)÷100
410×100=8000×r
41000÷8000=r
5•125=r

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अतिथि के रूप में पोस्ट करें

Name

ईमेल

Answer:

Answer:

5%

Step-by-step explanation:

Principal P = Rs.4000

Time(t) = 2 years

Amount A = Rs. 4410

Rate of interest = ?

No. of compound per year n = 1

Formula of Amount of compound interest :

A=P(1+\frac{r}{n})^{nt}A=P(1+

n

r

)

nt

where r is in decimals

Substitute the values

4410=4000(1+r)^{2}4410=4000(1+r)

2

\frac{4410}{4000}=(1+r)^{2}

4000

4410

=(1+r)

2

\sqrt{1.1025}=(1+r)

1.1025

=(1+r)

1.05=(1+r)1.05=(1+r)

0.05=r0.05=r

So, rate of interest = 0.05*100= 5%

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At what rate percent per annum will a sum of Rs. 4000 yield compound interest of Rs. 410 in 2 years?

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Solution

Principal (P) = Rs. 4000 C.I = Rs. 410 ∴ Amount (A) = Rs. 4000 + 410 = Rs. 4410 Let rate =R% p.a. Period (n) = 2 years. ∴ Amount =P(1+R100)n ⇒AP=(1+R100)2 ⇒Rs.44104000=(1+R100)n ⇒4414000=[1+R100]2 ⇒(2120)2=(1+R100)2 Comparing, we get 1+R100=2120=1+120 ∴R100=120⇒R=10020=5 ∴ Rate =5% p.a

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