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Perna invests a certain sum at …

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Perna invests a certain sum at the rate of 10% per annum of intrest and another sum at the rate of 8%per annum to get a yield of ra.1640 in one's year time.next year she interchanges the rate and gets a yield of rs. 40 less than the previous year.how much did she invest in each type in the first year.

Posted by Vanshika Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 6 years, 10 months ago

Let us assume that Prema invests Rs x @10% and Rs y @8% in the first year.

We know that

Interest =

ATQ,

+=1640

Þ 10x+8y=164000………..(i)

Next,

After interchanging,

+=1600

we get 10y+8x=160000..

8x+10y=160000...(ii)

Adding (i) and (ii)

18x+18y=324000

18x+18y=324000

Þ x + y = 18000 ..(iii)

Subtracting (ii) from (i)

2x-2y=4000

Þ x - y = 2000...(4)

Adding (3) and (4)

2x=20000

Þ x = 10000

Substituting this value of x in (3)

y=8000

So the sums invested in the first year at the rate 10% and 8% are Rs 10000 and Rs 8000 respectively.

Ankita Kumari 6 years, 10 months ago

Please koi ye ques samJhao

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