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Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these?
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Ashok purchased two qualities of grains at the rate of Rs. 100 per qui...
The answer is 10 quintals. To calculate this, the cost of the 50 quintals of the second quality must first be determined. This is Rs. 8,000 (50 x 160). To gain a 30% profit, the selling price of the mixture must be Rs. 10,400 (8,000 x 1.3). The difference between the selling price and the cost of the second quality is Rs. 2,400 (10,400 - 8,000). This is the cost of the first quality pulse. To calculate the number of quintals of the first quality, divide the cost of the first quality by the rate of the first quality, which is Rs. 100. The answer is 24 quintals. Since the total number of quintals must be 50, the number of quintals of the first quality must be 50 - 24, which is 10 quintals.
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Ashok purchased two qualities of grains at the rate of Rs. 100 per qui...
Given Information:
- Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal.
- He wants to mix these two qualities in such a way that he gains a profit of 30% by selling the resulting mixture at Rs. 195 per quintal.
- The amount of the second quality is 50 quintals.
To find:
- How much pulse of the first quality should be mixed with the second quality to obtain the desired mixture.
Solution:
Let the quantity of the first quality of grain to be mixed be x quintals.
Total quantity of the mixture = (x + 50) quintals
Cost of x quintals of first quality grain = Rs. 100x
Cost of 50 quintals of second quality grain = Rs. 160 × 50 = Rs. 8000
Total cost of the mixture = Rs. 100x + Rs. 8000
Selling price of the mixture = Rs. 195 per quintal
To get a profit of 30%, the selling price should be 1.3 times the cost price.
Cost price of the mixture = (100/130) × (100x + 8000)
= (10/13) (100x + 8000)
Selling price of (x + 50) quintals of mixture = Rs. 195(x + 50)
According to the problem,
(10/13) (100x + 8000) = (195/1) (x + 50)
⇒ 100x + 8000 = 2535x + 97650
⇒ 2435x = 89650
⇒ x ≈ 36.8
Therefore, Ashok should mix approximately 36.8 quintals of the first quality grain with 50 quintals of the second quality grain to obtain the desired mixture.
Answer: None of these.
- Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal.
- He wants to mix these two qualities in such a way that he gains a profit of 30% by selling the resulting mixture at Rs. 195 per quintal.
- The amount of the second quality is 50 quintals.
To find:
- How much pulse of the first quality should be mixed with the second quality to obtain the desired mixture.
Solution:
Let the quantity of the first quality of grain to be mixed be x quintals.
Total quantity of the mixture = (x + 50) quintals
Cost of x quintals of first quality grain = Rs. 100x
Cost of 50 quintals of second quality grain = Rs. 160 × 50 = Rs. 8000
Total cost of the mixture = Rs. 100x + Rs. 8000
Selling price of the mixture = Rs. 195 per quintal
To get a profit of 30%, the selling price should be 1.3 times the cost price.
Cost price of the mixture = (100/130) × (100x + 8000)
= (10/13) (100x + 8000)
Selling price of (x + 50) quintals of mixture = Rs. 195(x + 50)
According to the problem,
(10/13) (100x + 8000) = (195/1) (x + 50)
⇒ 100x + 8000 = 2535x + 97650
⇒ 2435x = 89650
⇒ x ≈ 36.8
Therefore, Ashok should mix approximately 36.8 quintals of the first quality grain with 50 quintals of the second quality grain to obtain the desired mixture.
Answer: None of these.
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Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these?
Question Description
Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these?.
Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these?.
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Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these?, a detailed solution for Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these? has been provided alongside types of Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%? Options: 0. 10 quintals 1. 14 quintals 2. 20 quintals 3. None of these? theory, EduRev gives you an
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