Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10%?
Answers
Let the amount Vijay invested at the rate of 10% = Rs x
then the amount invested at 15% = Rs (50,000 - x)
Time = 1yr
Income from 10% rate = 10% of x = x/10
Income from 15% rate = 15% of (50,000 - x) = (150,000 - 3x)/20
Acc to ques, [x/10] + [(150,000 - 3x)/20] = 7000
or, 150000 - x = 140000
or, x = 10,000.
Therefore, he has invested Rs 10,000 at 10% and Rs 40,000 at 15%.
Step-by-step explanation:
Let the amount Vijay invested at the rate of 10% = Rs x
The amount invested at 15% = Rs (50,000 - x)
Time = 1yr
Income from 10% rate = 10% of x = x/10
Income from 15% rate = 15% of (50,000 - x) = (150,000 - 3x)/20
According to question,
[x/10] + [(150,000 - 3x)/20] = 7000
150000 - x = 140000
x = 10,000.
Therefore, he has invested Rs 10,000 at 10% and Rs 40,000 at 15%.