Question

A shopkeeper sold two fans at Rs1200 each. In this he got 20% profit on one fan and 20% loss on another. What is the total profit or loss percent in the entire dealing?

Answer 1

Answer:

hope this will help you

Step-by-step explanation:

Solution -

First fan at 20% profit in 1200 Rs

Cost price of first fan =

100+20

1200

×100=1000Rs

Second fan at 20% loss in 1200 Rs

Cost price of second fan =

100−20

1200

×100=1500Rs

Total C.P of fans = 2500 Rs

Total S.P of fans = 2400 Rs

% Loss =

2500

2500−2400

×100=4%loss

Answer 2

Step-by-step explanation:

Given:-

• The selling price of each fan is Rs. 1200

• He got 20% profit on one fan and 20% loss on another fan.

To Find:-

• The profit or loss percent in the whole transaction.

Solution:-

For 1st fan:-

• Selling price (SP) = Rs. 1200

• Profit = 20%

$\rm \dashrightarrow CP = \dfrac{100}{100 + Profit\%} \times SP$

$\rm \dashrightarrow CP = \dfrac{100}{100 + 20} \times 1200$

$\rm \dashrightarrow CP = \dfrac{100}{120} \times 1200$

$\rm \dashrightarrow CP = 1000$

Cost Price (CP) of 1st fan = Rs. 1000

For 2nd fan:-

• Selling price = Rs. 1200

• Loss = 20%

$\rm \dashrightarrow CP = \dfrac{100}{100 - Loss\%} \times SP$

$\rm \dashrightarrow CP = \dfrac{100}{100 - 20} \times 1200$

$\rm \dashrightarrow CP = \dfrac{100}{80} \times 1200$

$\rm \dashrightarrow CP = 1500$

Cost Price (CP) of 2nd fan = Rs. 1500

Now,

Total CP of two fans = CP of 1st fan + CP of 2nd fan

= 1200 + 1500

= 2700

CP of two fans = Rs.2700

SP of two fans = 1200 + 1200 = 2400

Here, CP > SP . So, Loss

Loss = CP - SP

= 2700 - 2400

= 300

$\rm Loss = Rs 300$

$\rm \dashrightarrow Loss\% = \dfrac{Loss}{Total \: CP} \times 100$

$\rm = \dfrac{300}{2700} \times 100$

= 4%

$\underline{\boxed{\purple{\rm \therefore Loss\: on \: entire \: dealing = 4\%}}}$