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Section 1 of 6 Quantative/
Revisit
Question #5
Nine pens, four books and six erasers cost Rs. 228. Four pens, six books and nine erasers also cost the same. What is the cost of
five pens?
Answers
Answer:
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Step-by-step explanation:
step wise thinking beacaus it is
Question :
Nine pens, four books and six erasers cost Rs. 228. Four pens, six books and nine erasers also cost the same. What is the cost of five pens?
Answer :
The cost of 5pens is Rs. ( 2280 - 50y - 75z ) / 13
Given :
Cost price of nine pens, four books and six erasers = Rs.228
Cost price of four pens, six books and nine erasers = Rs.228
To find :
Cost price of five pens
Solution :
Let the cost of one pen be Rs.x
Let the cost of one book be Rs.y
Let the cost of one eraser be Rs.z
Hence ,
The cost of 9 pens = 9x
The cost of 4 books = 4y
The cost of 6 erasers = 6z
According to the problem ,
9x + 4y + 6z = 228......i
Also,
The cost of 4 pens = 4x
The cost of 6 books = 6x
The cost of 9 erasers = 9z
According to the problem ,
4x + 6y + 9z = 228......ii
Adding equations i and ii :
(9x + 4y + 6z ) + (4x + 6y + 9z) = 228 + 228
=> 13x + 10y + 15z = 456
=> 13x = 456 - 10y - 15z
=> x = ( 456 - 10y - 15z) /13
The cost of 1 pen is Rs.( 456 - 10y - 15z) /13
Hence , the cost of 5 pens = 5 × ( 456 - 10y - 15z) /13
=Rs. ( 2280 - 50y - 75z ) / 13
Therefore, the cost of 5pens is Rs. ( 2280 - 50y - 75z ) / 13
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