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Ravi took a loan from a bank at the rate of 8% p.a. simple interest. After 5 years, he had to pay an interest of Rs6,400 for the period. Find the prin
Question

Ravi took a loan from a bank at the rate of 8% p.a. simple interest. After 5 years, he had to pay an interest of Rs6,400 for the period. Find the principal amount borrowed by Ravi.

A.

Rs.16,000

B.

Rs.15,000

C.

Rs.18,000

D.

Rs.10,000

Correct option is A

Given:

Rate = 8% Time = 5 years Simple Interest = 6400

Formula Used

SI=(P×R×T)100SI = \frac{(P × R × T) }{ 100}​​

Solution:

According to the given conditions:

SI=(P×R×T)100SI =\frac{ (P × R × T) }{100}​​

by substituting values we get:

=>6400=(P×8×5)100 =>6400×100=(P×8×5) =>P=(6400×100)(8×5) =>P=16000=> 6400 = \frac{(P × 8 × 5) }{100 } \\\ \\=> 6400 × 100 = (P × 8 × 5) \\\ \\=> P = \frac{(6400 × 100) }{ (8 × 5) }\\\ \\=> P = 16000​​

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