IPMAT 2020 - Quantitative Aptitude Question 6
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IPMAT 2020 - Quantitative Aptitude
First Visit
Ratio of pens = 2: 3
Cost of pens = x
Cost of pencils = y
2kx + 3ky = 86 ________ (i)
Second Visit
Ratio of Pens: Pencils = 4 : 1
4k’x + k’y = 112 ________ (ii)
He purchased 4 pens in 2nd visit
4k’ = 4
K’ = 1
4x +y = 112 ________ (ii)
2kx + 3ky = 86 ________ (i)
Possible equation of equation 1
2x + 3y = 86
4x + 6y =86
6x +9y = 86
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.
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Since 4x + y = 112 & x & y are positive integers then 4x + 6y > 112 hence the only possible equation is
2x + 3y = 86 ________ (i)
Solving (i) & (ii)
(2x + 3y = 86) × 2
4x + y = 112
4x + 6y =172
4x + y = 112
5y = 60
y = 12
4x + 12 = 112
4x = 100
x = 25
The amount paid by Ashok during 2nd visit for pens is 4x i.e. Rs. 100