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Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum

Posted by Kochunnipavumpa Kochunnipavumpa 5 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 7 months ago

We will take simple interest given that the type of accumulation is not specified.

The period for the two investments is 1 year.

Let us take A:

i = 8%

let amount be x.

Simple interest = Principle × rate/100 time

Interest = 0.08 × 1 × x = 0.08x

Lets take B:

let Principle of B be y.

Interest = 0.09y

The equation is :

0.08x + 0.09y = 1860

If we interchange we will have :

0.09x + 0.08y = (1860 + 20)

0.09x + 0.08y = 1880

Solving for x and y simultaneously:

0.08x + 0.09y = 1860...............1)

0.09x + 0.08y = 1880................2)

Multiply 1 by 9 and 2 by 8 to eliminate x.

0.72x + 0.81y = 16740

0.72x + 0.64y = 15040

Subtraction:

0.17y = 1700

y = 10000

Doing the substitution:

0.08x + 0.09(10000) = 1860

0.08x = 1860 - 900

0.08x = 960

x = 960/0.08

x = 12000

The amounts are :
10000 in A and 12000 in B

ANSWER

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