A farmer sold apples, pears, and tomatoes by the kilogram for a total receipt of Rs. 480.00. How many kilograms of apples did the farmer sell?Which two of the following statements together provide sufficient additional information to answer the question?Which two of the following statements together provide sufficient additional information to answer the question?i. Apples and pears were each sold at Rs.0.50 per kilogramii. A total of 780 kilograms of pears, and tomatoes was sold.iii. The total receipt for apples was equal to the combined receipt for pears and tomatoes.iv. The total receipt for apples was 4 times the total receipt for pears.v. The total receipt for tomatoes was 3 times the total receipt for pears.The first required additional statement is
Correct answer: D. i and iv
- A. i and iii
- B. ii and iv
- C. iii and v
- D. i and iv
Explanation
To determine how many kilograms of apples were sold, we need to calculate the total receipt and the receipts for each type of produce. Statement i tells us the price per kilogram for apples and pears, and statement iv provides a ratio of the receipts for apples and pears. With this information, we can set up equations to solve for the kilograms of apples. The other options either lack sufficient data or provide redundant relationships that do not allow us to solve for the exact quantity of apples.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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