Question : A person invested a total of Rs. 7,900 in three different schemes of simple interest at 3%, 5%, and 8% per annum. At the end of one year, he had the same interest in all three schemes. What is the money (in rupees) invested at 3%?
Option 1: 2900
Option 2: 3500
Option 3: 4000
Option 4: 5600
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Correct Answer: 4000
Solution : Sum = Rs. 7,900 Term, n = 1 year Let $x$ be the amount invested at 3%, $y$ be the amount invested at 5%, and $z$ be the amount invested at 8%. $\frac{x×1×3}{100}$ = $\frac{y×1×5}{100}$ = $\frac{z×1×8}{100}$ $⇒3x$ = $5y$ = $8z$ So, $x:y:z=40:24:15$ Divide Rs. 7900 in this ratio. therefore, we get, $x=\frac{7900}{79}×40$ $\therefore x=4000$ Hence, the correct answer is 4000.
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Question : A man invests a total sum of INR 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part, at 15% simple interest per annum. If the total interest accrued in two years equals INR 2,400, the sum invested at 15% simple interest per annum is:
Option 1: INR 8000
Option 2: INR 4000
Option 3: INR 6000
Option 4: INR 5000
Question : A man borrowed some money from a private organisation at 5% simple interest per annum. He lent this money to another person at 10% compound interest per annum and made a profit of Rs. 26,410 in 4 years, the man borrowed:
Option 1: Rs. 2,00,000
Option 2: Rs. 1,50,000
Option 3: Rs. 1,32,050
Option 4: Rs. 1,00,000
Question : A person lent a certain sum of money at the annual rate of 7% on simple interest and the interest received in 11 years is Rs. 920 less than the sum lent. What is the sum lent?
Option 1: Rs. 41200
Option 2: Rs. 4000
Option 3: Rs. 52000
Option 4: Rs. 2400
Question : At a simple interest rate per annum, a certain sum amounts to Rs. 5,182 in 2 years and Rs. 5,832 in 3 years. The principal in rupees is:
Option 1: 2882
Option 2: 5000
Option 3: 3882
Option 4: 4000
Question : A money lender lends Rs. 400 for 3 years to a person and lends Rs. 500 for 4 years to another person at the same rate of simple interest. If he receives Rs.160 as interest, what is the rate of interest per annum?
Option 1: 5%
Option 2: 7%
Option 3: 9%
Option 4: 10%
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