Ratio and Proportion

Mia and Ethan invest in a green technology startup. Mia invests \$20,000 for 4 years at a fixed simple interest rate of 7% per annum. Ethan invests the same amount as Mia, dividing it into a ratio of 2 : 3, with one part invested at 5% per annum and the other part at x% per annum for 4 years. If Ethan's total interest is \$400 less than Mia's total interest, what is the value of x?

Priya can lay tiles on a large floor in 36 days, while Karan can complete the same task in 54 days. Priya starts working alone and lays tiles for 12 days. After that, Karan and Meera join her, and the three of them complete the remaining work in 12 more days. If the total payment for laying the tiles is Rs. 45,000, what is Meera's share of the money, assuming it is distributed in proportion to the amount of work done by each person?

In the income statement of Asha and Ravenna, the ratio of their income in the year 2017 was 5 : 4. The ratio of Asha's income in the year 2018 to that in 2017 is 3 : 5 and the ratio of Ravenna's income in the year 2018 to that in 2017 is 3 : 2. If Rs. 10242 is the sum of the income of Asha and Ravenna in the year 2018, then find the income of Ravenna in the year 2017?

In a company, 40% of the employees work in the Research department. If the total salary obtained by all the research employees is one-fourth of the total salary obtained by all employees in the company, then what is the ratio of the average salary obtained by the research employees to the average salary obtained by the non-research employees?

Directions: The following item contains two statements, I and II, giving certain data. Select the correct answer from (1) to (4), depending on the sufficiency of the data given in the statements to answer the question. (1) If I alone is sufficient and II alone is not sufficient to answer the question. (2) If II alone is sufficient but I alone is not sufficient to answer the question. (3) If both I and II together are sufficient, but neither statement alone is sufficient to answer the question. (4) If both I and II together are not sufficient to answer the question and additional data, specific to the question is needed. What is the difference in savings of Ashlay and Prabhjot? (I) Monthly savings of Ashlay and Prabhjot are in the ratio 5 : 6. (II) If they both save Rs. 4000 more, the new ratio becomes 25 : 29.

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. The ratio of the salaries of John and Sam is 3 : 4 and that of their expenditures is 4 : 5, respectively. Find the ratio of saving of John and Sam. 1. The saving of Sam is 25% of his salary. 2. The salary of Sam is Rs. 5000.

Mohan has some money (Rs. M) that he divides in the ratio of 1 : 2. He then deposits the smaller amount in a savings scheme that offers a certain rate of interest, and the larger amount in another savings scheme that offers half of that rate of interest, both interests compounded yearly. At the end of two years, the total interest earned from the two savings schemes is Rs. 830. It is known that one of the interest rates is 10% and that Mohan deposited more than Rs. 1000 in each savings scheme at the start. What is the value of M?

Directions: The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Ajay, Akash, Babu and Krishna enter into a partnership. If their profit share is in the ratio of their investment, then find the difference in the profit share of Ajay and Krishna. (A) The ratio of investments of Ajay and Akash is 7 : 8, the ratio of investments of Akash and Babu is 4 : 5, the ratio of investments of Babu and Krishna is 10 : 9 and total profit after 1 year is Rs. 42,160. (B) Akash's investment is 8 7 ^th of Ajay's investment, Babu's investment is 5 4 ^th of Akash's investment and Krishna's investment is 9 10 ^th of Babu's investment.