Aptitude Overflow

+1 vote

I 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 I had paid. What percent of the total amount paid by me was paid for the pens?

- $37.5$%
- $625$%
- $50$%
- None of these

+1 vote

5 Pens + 7 Pencils + 4 erasers= Rs X ......(1)

6 Pens + 14 Pencils + 8 erasers= Rs Y ......bought by rajan

ATQ ( Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what I had paid.)

Y = 1.5X

6 Pens + 14 Pencils + 8 erasers= Rs 1.5X......(2)

Also, 10 Pens + 14 Pencils + 8 erasers= Rs 2X ( from 1).....(3)

(3) - (2) => 4 pen = 0.5X

1 pen = 0.125X

=> 5 pens=0.625X

percent of the total amount paid by me was paid for the pens = 0.625X/X *100= 62.5 %

6 Pens + 14 Pencils + 8 erasers= Rs Y ......bought by rajan

ATQ ( Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what I had paid.)

Y = 1.5X

6 Pens + 14 Pencils + 8 erasers= Rs 1.5X......(2)

Also, 10 Pens + 14 Pencils + 8 erasers= Rs 2X ( from 1).....(3)

(3) - (2) => 4 pen = 0.5X

1 pen = 0.125X

=> 5 pens=0.625X

percent of the total amount paid by me was paid for the pens = 0.625X/X *100= 62.5 %

2,803 questions

1,107 answers

412 comments

31,464 users