Sainik School Entrance Exam 2021 Solved Paper

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Question : 18 of 150

Marks: +1, -0

A sum amounts to

\₹ 4,410

after two years at

5 \%

compound interest per annum. What is the principal?

₹ 8,000
₹ 4,100
₹ 4,000
₹ 4,200

Solution:

(c) Amount

(A)=\₹ 4410

Time

(t)=2

years
Rate

(r)=5 \%

per annum
Let Principal

(P)

is

x

.

A=P(1+{r}/{100})^t

⇒ 4410=P(1+{5}/{100})^2

⇒ 4410=P({21}/{20})^2

⇒ P={4410 ×20 ×20}/{21 ×21}=10 × 20 ×20

∴ P=\₹ 4,000

So, the Principal is

\₹ 4,000 .

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