All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  A grocer sells items by mixing small stones i... Start Learning for Free
SaveJoin the Discussion on the App
A grocer sells items by mixing small stones into grains. He has 50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)
Correct answer is '93'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
A grocer sells items by mixing small stones into grains. He has50 kg e...
107.5 grams of total quantity has 100 gm of actual grains.
Mohan purchases 5 kg of each type. Actual grains in 10 gm = (10 * 100)/107.5 ⇒ 9.3 So, the required percentage = 93
Answer: 93
View all questions of this test
Most Upvoted Answer
A grocer sells items by mixing small stones into grains. He has50 kg e...
To solve this problem, we need to determine the percentage of actual grain in the rice purchased by Mohan.

Let's break down the problem into smaller steps:

Step 1: Calculate the total weight of rice purchased by Mohan.
Mohan purchases 5 kg of each variety of rice, so the total weight of rice purchased is 5 kg + 5 kg = 10 kg.

Step 2: Calculate the total weight of stones in the rice.
The grocer mixes 100 grams of stones per kg of the first variety of rice and the remaining stones in the second variety. Since Mohan purchases equal amounts of both varieties, we can calculate the total weight of stones as follows:

Total weight of stones = (100 grams/kg x 5 kg) + (1000 grams/kg x 5 kg) = 500 grams + 5000 grams = 5500 grams

Step 3: Calculate the total weight of rice and stones.
The total weight of rice and stones is the sum of the weight of rice and the weight of stones:

Total weight of rice and stones = (10 kg + 10 kg) + 5500 grams = 20 kg + 5500 grams

Step 4: Calculate the percentage of actual grain in the rice.
To calculate the percentage of actual grain, we need to subtract the weight of stones from the total weight of rice and stones and then divide by the total weight of rice and stones, and finally, multiply by 100 to get the percentage:

Percentage of actual grain = [(Total weight of rice and stones - Total weight of stones) / Total weight of rice and stones] x 100

Substituting the values, we get:
Percentage of actual grain = [(20 kg + 5500 grams - 5500 grams) / (20 kg + 5500 grams)] x 100
= [(20 kg) / (20 kg + 5500 grams)] x 100
= [(20 kg) / (20 kg + 5.5 kg)] x 100
= [(20 kg) / (25.5 kg)] x 100
= 78.43

Since we are asked to round off the answer to the nearest integer, the approximate percentage of actual grain is 78.

Therefore, the given answer of 93 is incorrect. The correct answer is 78.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
< Previous Question Next Question >
Explore Courses for CAT exam

Similar CAT Doubts

The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.How many items were purchased by Ananya? Correct answer is '5'. Can you explain this answer?

The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.The amount in Rs. given to these daughters by their mother was.... Correct answer is '5'. Can you explain this answer?

The mother of four daughters: Tanya, Kamya, Saumya and Ananya, had given them a certain sum of money to make purchases of their own choices. Each of them bought a certain number of items. When their mother questioned them on the quantity of purchases made by them, their replies were as follows:1. The sum of all items put together that we have purchased is less than 18.2. The product of the number of items purchased by us is same as the amount you had given to us.3. Further Tanya had purchased the least quantity followed by Kamya, Saumya and Ananya in that order.The mother thought for a while on the quantity purchased by her daughters, but could not get the solution. She then asked her daughters whether any one of them had purchased only a single quantity to which the daughters replied and then the mother knew the number of items purchased by each one of them.Q.The difference between the quantities purchased by Ananya and Kamya was.... Correct answer is '2'. Can you explain this answer?

Top Courses for CATView all

Top Courses for CAT

A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer?
Question Description
A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer?.
Solutions for A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer?, a detailed solution for A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? has been provided alongside types of A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A grocer sells items by mixing small stones into grains. He has50 kg each of two varieties of rice. He mixes 7.5 kg of stones in all. For one kg of rice, he mixes 100 grams of stones in the first variety and the remaining in the other. Mohan purchases 5 kg of rice of each variety from the grocer. Approximatly, what is the actual percentage of grain that Mohan has? (Round off your answer to the nearest integer)Correct answer is '93'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup