Quant Exam  >  Quant Questions  >  Amal bought 5 pens, 7 pencils and 4 erasers. ... Start Learning for Free
Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
  • a)
    37.5%  
  • b)
    62.5%
  • c)
    50%
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 er...
Let, 5 pens + 7 pencils + 4  erasers = x  rupees
so 10 pens  + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erasers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5 x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees  = 5/8 of total (note x rupees is total amt paid byamal)
i.e 5/8 = 500/8% = 62.5% is the answer
View all questions of this test
Most Upvoted Answer
Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 er...
Given:
Amal bought 5 pens, 7 pencils, and 4 erasers.
Rajan bought 6 pens, 8 erasers, and 14 pencils for an amount which was half more than what Amal had paid.

To find:
The percentage of the total amount paid by Amal for pens.

Solution:
Let the cost of 1 pen, 1 pencil, and 1 eraser be x, y, and z respectively.

Then the total amount paid by Amal = 5x + 7y + 4z
And the total amount paid by Rajan = 1.5(5x + 7y + 4z) = 7.5x + 10.5y + 6z

We know that Rajan bought 6 pens, so 6x = 7.5x + 10.5y + 6z - (14y + 8z)
Simplifying, we get: 0.5x = 3.5y - 2z

Also, we know that Amal bought 5 pens, so the amount paid by Amal for pens = 5x
Therefore, the percentage of the total amount paid by Amal for pens = (5x / (5x + 7y + 4z)) * 100

To find this percentage, we need to find the values of x, y, and z.

We can use the given information to form equations involving x, y, and z:

5x + 7y + 4z = A (where A is the amount paid by Amal)
6x + 14y + 8z = 1.5A (since Rajan bought 6 pens, 14 pencils, and 8 erasers)
0.5x - 3.5y + 2z = 0 (from the earlier equation)

Solving these equations, we get:
x = A/23
y = (6A - 24x)/61
z = (8A + 35x)/92

Substituting these values in the expression for the percentage, we get:

Percentage of amount paid by Amal for pens = (5x / (5x + 7y + 4z)) * 100
= (5A/23) / (A/23 + (42A-168A/23)/61 + (32A+175A/23)/92) * 100
= 62.5%

Therefore, the answer is option B, 62.5%.
Explore Courses for Quant exam

Similar Quant Doubts

Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. 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 Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?a)37.5%b)62.5%c)50%d)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
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