0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

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 what I had paid. What percent of the total amount paid by me was paid for the pens?
  1. 37.5 %
  2. 62.5 %
  3. 50 %
  4. None of these

A
37.5 %
B
62.5 %
C
None of these
D
50 %
Solution
Verified by Toppr

Let one pen, one pencil and one eraser cost = n, p, r units
Let the amount paid by me = A
IPay=(5n+7p+4r)=A..1
While Rajan pay (6n+14p+8r)=1.5A..2
Now multiply 1 by 2
we get
(10n+14p+8r)=2A...3
Comparing 2 and 3 We see that while Rajan gets 4pen less ,he pays 0.5A unit less.
Thus A = the price of 8 pen
thepercentofthetotalpricepaidbymeinitiallywhichwasusedforpens=58×100=62.5

Was this answer helpful?
4
Similar Questions
Q1
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 what I had paid What percent of the total amount paid by me was paid for the pens?
View Solution
Q2
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 what I had paid. What percent of the total amount paid by me was paid for the pens?
View Solution
Q3
I bought a pen for ₹15.75 and a notebook for ₹24.50 and paid the shopkeeper ₹50. What was the amount returned by the shopkeeper ?
View Solution
Q4
Animesh bought 10 pencils and 7 erasers and the total amount he paid was rupees 120. Choose the equation that represents the transaction correctly.
(Assume the price of a pencil to be ₹ x and of an eraser to be ₹ y)
View Solution
Q5
The cost of 4 dozen pencils, 3 dozen pens and 2 dozen erasers is Rs. 60. The cost of 2 dozen pencils, 4 dozen pens and 6 dozen erasers is Rs. 90 whereas the cost of 6 dozen pencils, 2 dozen pens and 3 dozen erasers is Rs. 70. Find the cost of each items per dozen by using matrices
View Solution