Question

A sum of 1,200 was lent partly at 5% and partly 6%
simple interest. The total interest received after 2
years was 128. The ratio of the money lent out at
5% and 6% is​

Answer 1

Step-by-step explanation:

MATHS

A sum of Rs 1,200 was lent partly at 5% and partly 6% simple interest. The total interest received after 2 years was Rs 128. The ratio of the money lent out at 5% and 6% is

December 27, 2019avatar

Shaik Vishvkarma

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ANSWER

Let the second part be Rs. x. Then first part is Rs. (1200−x)

So interest on first part =

100

(1200−x)×5×2

=

10

(1200−x)

And interest on second part =

100

(x)×6×2

=

25

3(x)

Now, according to question:

10

(1200−x)

+

25

3x

=128

Taking LCM and solving further, we get:

⇒5(1200−x)+6x=128×50

⇒6000−5x+6x=6400

⇒x=400.

So, second part is Rs. 400.

Hence, first part is (1200−x)=Rs. 800

Hence ratio of first part to second part is 800:400=2:1