A man invested 10000 rupees, split into two schemes , at annual rates of interests 8% and 9%. After one year he got 875 rupees as interest from both. How much did he invest in each?

Open in App

Solution

let x be amount invested in the 1st scheme
so, investment in other scheme = (10000 - x)

here the formula of simple interest is taken as the time is 1 year

So, for the 1st scheme I1 = PRT/100 = x81/100 = 8x/100

for the other scheme I2 = PRT/100 = (10000-x)91/100 = 9(10000-x) /100

by question, I1 + I2 = 875
8x/100 + 9(10000-x)/100 = 875
8x/100 + (90000 -9x) /100 = 875
(8x + 90000 -9x) /100 = 875
8x +90000 -9x = 87500
-x = 87500 - 90000
-x = - 2500
x = 2500

hence investment in one scheme = Rs.2500 Ans,
investment in other scheme = 10000-2500 = Rs.7500 Ans

Suggest Corrections

Similar questions

Thomas deposited 7000 rupees in all in two banks. The rate of interest is 8% in one bank and 11% in the other. After a year, he got 680 rupees as interest from both banks together. How much did he deposit in each bank?

Q. A man had Rs 1000 which he invested in two schemes. The first scheme offered an interest of 6% and the second scheme offered an interest of 9%. If the simple interest he received from both the schemes at the end of the year are equal, how much did he invest in the second scheme?

Q. Harsha invested 12,000 rupees in a mutual fund. He invested some of it at the annual profit rate of

10 %

and the rest at

12 %

. He gets 1280 rupees as a profit per year. How much did he invest at

12 %

rate?

2000 rupees is invested is a scheme giving interest compounded annually. After two years the amount became 2205 rupees. What is the rate of interest?

Q. Question 12
Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of

8 %

per annum and

9 %

per annum, respectively. She received Rs. 1860 as annual interest. However, had she interchanged the amount of investments in the two schemes, she would have received Rs. 20 more as annual interest. How much money did she invest in each scheme?

Join BYJU'S Learning Program