Question

A man sold two chairs at Rs. 1,200 each. On one he gained 20% and on the other he lost 20%. His gain or loss in the whole transaction is:
A.1% loss
B.2% loss
C.4% loss
D.15 gain

Answer 1

total Loss %
= (Common loss or gain percentage /10)2 = (20/10)2
= 4%

Answer 2

Answer:

The loss in the whole transaction is 4% .

Option (C) is correct .

Step-by-step explanation:

Formula

$Profit \% = \frac{(S.P - C.P)\times 100}{C.P}$

$Loss\% = \frac{(C.P - S.P)\times 100}{C.P}$

As given

A man sold two chairs at Rs. 1,200 each. On one he gained 20% and on the other he lost 20%.

Let us assume that the cost price for the chair which gave 20% profit be x .

S.P = Rs 1200

Profit % = 20%

Putting all the values in the formula

$20 = \frac{(1200 -x)\times 100}{x}$

20x = 120000 - 100x

100x +20x = 120000

120x = 120000

$x = \frac{120000}{120}$

x = Rs1000

Thus cost price of the first chair is Rs 1500 .

Let us assume that the cost price for the chair which gave 20% loss be y .

S.P = Rs 1200

Loss % = 20%

Putting all the values in the formula

$20 = \frac{(y-1200)\times 100}{y}$

20y = 100y - 120000

100y - 20y = 120000

80y = 120000

$y=\frac{120000}{80}$

y = Rs1500

Therefore the cost price of the second chair is Rs 1500 .

Total cost price of two chairs = Rs1000 + Rs1500

                                                 = Rs 2500

Total selling price of two chair = Rs 1200 + Rs 1200

                                                   = Rs 2400

Loss = C .P - S.P

        = 2500 - 2400

        = Rs 100

Put in the formula

$Loss\% = \frac{100\times 100}{2500}$

$Loss\% = \frac{10000}{2500}$

Loss % = 4%

Therefore the loss in the whole transaction is 4% .

Option (C) is correct .