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Choose whether the given statement is true or false:

A sum becomes Rs 3920 at the rate of $712 %$ p.a. and for a time period of 3 years in simple interest. Then the sum is Rs 3400.

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True

False

answer is B.

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Detailed Solution

The given statement is a sum becomes Rs 3920 at the rate of

p.a. and for a time period of 3 years in simple interest. Then the sum is Rs 3400.
We have to find whether the statement is true or false.
We have,
simple interest

= P × R × T 100

, where P=principal, R=rate & T=time.
Amount = Principal + simple interest.
Let the required sum be Rs x.
Determining S.I.,

∴ S .I . = x × 15 × 3 2 × 100 ⇒ S .I . = 9 x 40

Determining amount,

∴ Amount = x + 9 x 40 ⇒ Amount = 49 x 40

We know that the amount is Rs 3920,
Question Image

So, the statement is false and the correct statement is a sum becomes Rs 3920 at the rate of

p.a. and for a time period of 3 years in simple interest. Then the required sum is

= P × R × T 100

Therefore, the correct option is 2.

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