Question

If by selling 2 items for rs. 180 each the shopkeeper gains 20% on one and loses 20% on the other, find the value of the loss.

Answer 1

Heya,

( Case 1 ) Let the CP be Rs 100

Profit = Rs 20

SP = 120

If SP is Rs 120 then CP = Rs 100
If SP is Rs 180 then CP = 100/120 × 180
= Rs 150

( Case 2 ) Let the CP be Rs 100

SP = 100 - 20
= 80

If SP is Rs 80 then CP = Rs 100
If SP is Rs 180 then CP = 100/80 × 180
= Rs 225

Total CP = 225 + 150
= Rs 375

Total SP = 180× 2
= 360

LOSS = Rs 15

Loss% = 15/375 × 100
= 4%

Hope it helps, ☺!

Answer 2

Answer:

Concept:

Profit and loss

Step-by-step explanation:

Given:

The selling price of each item is Rs.180

gain is 20%

loss is 20%

Find:

The value of the loss

Solution:

cost price = 100 / (100 + gain%) × selling price

cost price = 100 / (100 - loss%) × selling price

cost price of 1st item = 100 / 120 × 80 = 150

cost price of 1st item = 100 / 80 × 180 = 225

Total is 375

Total selling price = 180 + 180 = 360

Loss = 375 - 360 = 15

Hence the amount lost is 15 rupees.

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