Question

Varun sold two almirahs for rs 2730 each. on one he lost 9% while on the other he gained 15% find gain or loss on the whole transaction

Answer 1

Given:
S.P of an almirah= ₹ 2730

Let the CP of one almirah = Rs x


ATQ

on loss of 9%
x - 9x/100 = 2730

(100x -9x )/100 = 2730

91x/100= 2730

91x = 2730 × 100

x= 273000/91

x= 3000

CP =₹ 3000


now,
on gain of 15%

x +15x/100 = 2730

(100x +15x) /100= 2730

115x = 2730× 100

x= 273000/115

x= 2,373.91

CP =₹ 2,373.91


Total CP of almirah = 3000 + 2,373.91= 5,373.91

Total CP of almirah =₹ 5,373.91

Total SP of almirah = 2730×2 =₹ 5460

SP > CP

Gain = 5460 - 5,373.91= ₹ 86.09

Gain % = (gain /CP)× 100

= (86.09×100)/ 5,373.91= 8609/5,373.91=

= 860900/5,37391= 1.06%

Gain% = 1.06%

Answer 2

Cp1 = 2730/91 × 100 = 3000

cp2 = 2730/112 × 100 = 2437.5

total cp = 3000 + 2437.5 = 5437.5

total sp = 2730 × 2 = 5460

profit = 5460 - 5437.5 = 22.5

profit % = 22.5/5437.5 × 100 = 0.41%

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