In What Ratio Must Rice at $9.30 Per Kg be Mixed with Rice at $10.80 Per Kg GMAT Problem Solving

Question: In what ratio must rice at $9.30 per Kg be mixed with rice at $10.80 per Kg so that the mixture is worth $10 per Kg?

1. 3:7
2. 7:8
3. 8:7
4. 6:5
5. 6:1

Correct Answer: C
Solution and Explanation:
Approach Solution 1:

You must use the information supplied in the question to solve this GMAT problem. These concerns cover numerous mathematical disciplines. This question concerns algebra. Because of how the options are presented, it is difficult to select the optimal option. Candidates must comprehend the correct approach to obtaining the required response. Only one of the five supplied alternatives is correct.

The rule of alligations states that Q1 / Q2 = P2 - P / (P - P - 1)
where Q1 and Q2 represent the respective amounts of cheap and expensive rice.

P is the average price, while P1 and P2 are the respective prices.
Q1 / Q2 = 10.8 − 10 / (10 − 9.30) = 0.8 / 0.7 = 8 / 7

C is the correct answer.

Approach Solution 2:

You must use the information supplied in the question to solve this GMAT problem. These concerns cover numerous mathematical disciplines. This question concerns algebra. Because of how the options are presented, it is difficult to select the optimal option. Candidates must comprehend the correct approach to obtaining the required response. Only one of the five supplied alternatives is correct.

Calculate the amount of rice (x) that should be combined with one kilogram of rice ($9.3 per kilogram) so that the combined amount costs $10 per kilogram.
We can write the following equation because we are combining x kg of the more costly rice with 1 kilogram of the less expensive rice:
(1 * 9.3 + x * 10.8) / (1 + x) = 10
9.3 + (10.8)x = 10 + 10x
(0.8)x = 0.7
x = 0.7/0.8 = 7/8

This demonstrates that combining 1 kg of rice, which costs $9.3 per kg, with 7/8 kg of rice, which costs $10.8 per kg, results in a mixture that costs $10 per kg. Hence, for the mixture costing $10 per kg, the ratio of the two types of rice is 1/(7/8) = 8/7. The solution is 8: 7, or 8.

C is the correct answer.

Approach Solution 3:

You must use the information supplied in the question to solve this GMAT problem. These concerns cover numerous mathematical disciplines. This question concerns algebra. Because of how the options are presented, it is difficult to select the optimal option. Candidates must comprehend the correct approach for obtaining the required response. Only one of the five supplied alternatives is correct.

Cost price of the first type of rice is 9.30$ per kg
Cost price of the second type of rice is 10.80$ per kg
After a mixture of rice worth is 10$ per kg

You'll see that the average price of $10 is marginally closer to $9.30 than to $10.80. Moreover, $9.30 is 70 cents less than $10 while $10.80 is 80 cents more than $10; as a result, we need eight kilograms of rice priced at $9.30 to "balance" with seven kilograms priced at $10.80 in order to arrive at a price of $10 on average.

C is the correct answer.

“In what ratio must rice at $9.30 per Kg be mixed with rice at $10.80" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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