Choose whether the given statement is true or false:

When we divide Rs 3000 into two parts such that the S.I. on the first part for 4 years at 8% p.a. is equal to the S.I. on the second part for 2 years at 9% p.a. Then the first part is Rs 1080 and the second part is Rs 1920.

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True

False

answer is A.

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Detailed Solution

Formula to calculate simple interest is given by,
simple interest=

P × R × T 100

Where, P is the principal amount, R is the rate of interest and T is the time period.
Given, the total amount=Rs 3000.
Let the first part of the total amount be x and the second part be 3000-x.
Now, as per the question,
simple interest of first part=simple interest of second part.
Since simple interest
=

P × R × T 100

. So,

S . I = P × R × T 100

Hence, the first part of the total amount is Rs 1080 and the second part is 3000-x=3000-1080=Rs 1920
So, the given statement is true.
Hence, the correct option is 1.

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