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​What is the principal amount which earns ₹154/- as a compound interest for the second year at 10% per annum?​
Question

What is the principal amount which earns ₹154/- as a compound interest for the second year at 10% per annum?

A.

₹2,750.50

B.

₹1,540.00

C.

₹1,200.00

D.

₹1,400.00

Correct option is D

Given:

CI (Second year) = 154

Rate = 10%

Formula used:

The compound Interest for the second year (CI) = Principal Rate×(1+Rate)

Solution:

Let the Principal is =P P

Substitute the value in above formula:

(CI) = Principal Rate×(1+Rate)

154= P P​×10100\frac{10}{100}×(1+10100)(1+\frac{10}{100})

154= P10\frac{P}{10}×1110\frac{11}{10} 

P P= 154×10011\frac{154×100}{11} 

PP= 1400

Thus the correct answer is (D)

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