Bissoy.com
Doctors Medicines MCQs Q&A

A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is:

A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is: Correct Answer 16 : 15

Let the sum lent at 5% be Rs. x and that lent 8% be Rs. (1550 - x).
Then,
$$\eqalign{ & \left( {\frac{{x \times 5 \times 3}}{{100}}} \right) + \left = 300 \cr & \Leftrightarrow 15x - 24x + \left( {1550 \times 24} \right) = 30000 \cr & \Leftrightarrow 9x = 7200 \cr & \Leftrightarrow x = 800. \cr & \therefore {\text{Required ratio}} = 800:750 \cr & = 16:15 \cr} $$

Related Questions

A sum of Rs. 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years is Rs. 300. The ratio of money lent at 5% to that at 8% is = ?
Priya and khushi invested Rs.3000 together. Priya invested her amount at compound interest for ‘x/10’ years at x% rate interest and khushi invested half of her amount at compound interest and remaining half at simple interest at the same rate of interest for the same time period. [It is given that ‘x/10’ is a natural number] What is the value of ‘x’? Statement I: Ratio of investment of priya and khushi is 1 : 2 respectively and total sum received by them together after a particular time at x% rate of interest is Rs. 4280. Statement II: Simple interest received by khushi is Rs. 40 less than compound interest received by her. Statement III: Sum of simple interest and compound interest received by khushi after a certain time at x% rate of interest is Rs. 2500 Which of the above statement is redundant to find the answer of the given question?
A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.
A sum of Rs. 2500 was lent partly at 8% per annum simple interest and partly at 5% per annum simple interest. If the total interest received after 3 years was Rs. 519 then find the ratio in which the sum is lent at 8% and 5% per annum.
Raj lent a total of 50,000 rupees to two people He lent a certain amount to A at 10% per annum simple interest and lent the remaining amount to B at 5% per annum simple interest. He lent each amount for two years and received 8200 as the total interest. What is the sum he lent to the A?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes. Quantity 2: A sum of Rs. 725 is lent at the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest? Quantity 3: The difference between the compound interest and the simple interest on an amount of 15000 for 2 years is Rs. 96. What is the rate of interest per annum?
I had Rs. 10000 with me. Out of this money I lent some money to A for 2 years @ 15% simple interest. I lent the remaining money to B for an equal number of years @18% simple interest. After 2 years, I found that A had given me Rs. 360 more as interest as compared to B. The amount of money which I had lent to B must have been.
Sachin lent Rs. 20000 to Ankit at simple interest at the rate of 10% per annum for 2 years and Ankit lent half of the money to Gaurav at simple interest at the rate of 5% per annum for 2 years and lent rest half of the money to Amar at compound interest at the rate of 10% per annum for 2 years. Find the profit or loss of Ankit after 2 years in the whole transaction. 
The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Suman borrowed some amount of money at compound interest for 3 years. Find the amount to be paid by her after 3 years. Statement I: Simple interest on the same sum at the same rate of interest in 5 years will be 1/4th of the principal. Statement II: The simple interest on the sum after 6 years will be Rs. 12000. Statement III: The sum borrowed is 5 times the simple interest of 4 years.