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A merchant purchased two qualities of pulses at the rate of Rs. 200 per quintal and Rs. 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 300 per quintal, he gains a profit of 25%?
- a)100 quintals
- b)104 quintals
- c)26 quintals
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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A merchant purchased two qualities of pulses at the rate of Rs. 200 pe...
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A merchant purchased two qualities of pulses at the rate of Rs. 200 pe...
Given:
Cost of first quality pulse = Rs. 200 per quintal
Cost of second quality pulse = Rs. 260 per quintal
Quantity of second quality pulse = 52 quintals
Selling price of resulting mixture = Rs. 300 per quintal
Profit = 25%
To Find: How much pulse of the first quality should be mixed?
Solution:
Let x be the amount of the first quality pulse to be mixed.
According to the question, the merchant wants to earn a profit of 25% by selling the resulting mixture at Rs. 300 per quintal.
Let's calculate the cost price of the resulting mixture:
Cost price of 52 quintals of second quality pulse = 52 x 260 = Rs. 13,520
Let the cost of x quintals of first quality pulse be Rs. y.
Total cost price of the mixture = y + 13,520
Total quantity of the mixture = x + 52
According to the question, the merchant wants to earn a profit of 25% by selling the resulting mixture at Rs. 300 per quintal.
We know that profit = Selling price - Cost price
As the merchant wants to earn a profit of 25%, the selling price of the mixture will be 125% of the cost price.
Selling price of the mixture = 125/100 (y + 13,520 + x) = (5/4) (y + 13,520 + x)
We know that selling price of the mixture = Rs. 300 per quintal
Therefore,
(5/4) (y + 13,520 + x) = 300(x + 52)
5y + 4y + 68,600 + 5x + 4x = 60,000 + 15,600x
9y + 68,600 = 11,600x
y = (11,600x - 68,600)/9
Substituting the value of y in the equation for the cost price of the mixture, we get:
Cost price of the mixture = (11,600x - 68,600)/9 + 13,520
We know that profit = 25%
Therefore, Profit = Selling price - Cost price
25/100 (Cost price of the mixture) = Selling price - Cost price
25/100 [(11,600x - 68,600)/9 + 13,520] = 300 - [(11,600x - 68,600)/9 + 13,520]
Solving the above equation, we get:
x = 26 quintals
Therefore, 26 quintals of the first quality pulse should be mixed to get the desired result.
Hence, option (c) is the correct answer.
Cost of first quality pulse = Rs. 200 per quintal
Cost of second quality pulse = Rs. 260 per quintal
Quantity of second quality pulse = 52 quintals
Selling price of resulting mixture = Rs. 300 per quintal
Profit = 25%
To Find: How much pulse of the first quality should be mixed?
Solution:
Let x be the amount of the first quality pulse to be mixed.
According to the question, the merchant wants to earn a profit of 25% by selling the resulting mixture at Rs. 300 per quintal.
Let's calculate the cost price of the resulting mixture:
Cost price of 52 quintals of second quality pulse = 52 x 260 = Rs. 13,520
Let the cost of x quintals of first quality pulse be Rs. y.
Total cost price of the mixture = y + 13,520
Total quantity of the mixture = x + 52
According to the question, the merchant wants to earn a profit of 25% by selling the resulting mixture at Rs. 300 per quintal.
We know that profit = Selling price - Cost price
As the merchant wants to earn a profit of 25%, the selling price of the mixture will be 125% of the cost price.
Selling price of the mixture = 125/100 (y + 13,520 + x) = (5/4) (y + 13,520 + x)
We know that selling price of the mixture = Rs. 300 per quintal
Therefore,
(5/4) (y + 13,520 + x) = 300(x + 52)
5y + 4y + 68,600 + 5x + 4x = 60,000 + 15,600x
9y + 68,600 = 11,600x
y = (11,600x - 68,600)/9
Substituting the value of y in the equation for the cost price of the mixture, we get:
Cost price of the mixture = (11,600x - 68,600)/9 + 13,520
We know that profit = 25%
Therefore, Profit = Selling price - Cost price
25/100 (Cost price of the mixture) = Selling price - Cost price
25/100 [(11,600x - 68,600)/9 + 13,520] = 300 - [(11,600x - 68,600)/9 + 13,520]
Solving the above equation, we get:
x = 26 quintals
Therefore, 26 quintals of the first quality pulse should be mixed to get the desired result.
Hence, option (c) is the correct answer.
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Community Answer
A merchant purchased two qualities of pulses at the rate of Rs. 200 pe...
By selling at 300 if we need to get a profit of 25% it means that the cost price would be 300/1.25 = 240.
Thus, in 52 quintals of the second we need to mix 26 quintals of the first.
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A merchant purchased two qualities of pulses at the rate of Rs. 200 per quintal and Rs. 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 300 per quintal, he gains a profit of 25%?a)100 quintalsb)104 quintalsc)26 quintalsd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A merchant purchased two qualities of pulses at the rate of Rs. 200 per quintal and Rs. 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 300 per quintal, he gains a profit of 25%?a)100 quintalsb)104 quintalsc)26 quintalsd)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A merchant purchased two qualities of pulses at the rate of Rs. 200 per quintal and Rs. 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 300 per quintal, he gains a profit of 25%?a)100 quintalsb)104 quintalsc)26 quintalsd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A merchant purchased two qualities of pulses at the rate of Rs. 200 per quintal and Rs. 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 300 per quintal, he gains a profit of 25%?a)100 quintalsb)104 quintalsc)26 quintalsd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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