A man sold two paintings at ₹924 each. On one he gains 20% and on the other he loses 20%. How much does he gain or lose in the whole transaction?

(1-.2) * 924 = 739.20

(1+.2) * 924 = 1108.8

To find out how much the man gains or loses in the whole transaction, we need to calculate the total cost price and the total selling price of both paintings.

Let's assume the cost price of the first painting is 'x' rupees.
Since the man gained 20% on the first painting, the selling price of the first painting would be the cost price plus 20% of the cost price:
Selling price of the first painting = x + 0.20x = 1.20x

We also know that the selling price of the first painting is ₹924, so we can equate this to 1.20x:
1.20x = ₹924

Now, let's solve this equation to find the value of 'x':
x = ₹924 / 1.20
x ≈ ₹770

Therefore, the cost price of the first painting is approximately ₹770.

Now, let's find the cost price of the second painting. Since the man loses 20% on the second painting, the selling price of the second painting would be the cost price minus 20% of the cost price:
Selling price of the second painting = x - 0.20x = 0.80x

We also know that the selling price of the second painting is ₹924, so we can equate this to 0.80x:
0.80x = ₹924

Solving this equation, we can find the value of 'x':
x = ₹924 / 0.80
x ≈ ₹1155

Therefore, the cost price of the second painting is approximately ₹1155.

Now, to calculate the total cost price, we add the cost prices of both paintings:
Total cost price = ₹770 + ₹1155
Total cost price = ₹1925

Similarly, to calculate the total selling price, we add the selling prices of both paintings:
Total selling price = ₹924 + ₹924
Total selling price = ₹1848

To find out how much the man gained or lost in the whole transaction, we subtract the total cost price from the total selling price:
Gain or loss = Total selling price - Total cost price
Gain or loss = ₹1848 - ₹1925
Gain or loss = -₹77

The man has incurred a loss of ₹77 in the whole transaction.

Not good

Wrong 👎 answer

Case (i)

SP =Rs 924 Gain 10%
let CP= Rs 100
SP= 100+10=110
when SP is Rs 110, CP= 100
when SP is Re. 1 , CP= 100/110
When SP is Rs 924, CP= (110/100)×924
=Rs1016.4
Case(ii)
SP=924 Loss= 10%
let CP= Rs100
SP=Rs 90
when SP is Rs 90, CP = Rs 100
when SP is Rs 924, CP= Rs (100/90)×924
=Rs 9240/9
=1026.67
Now SP of Both the watches = 2x924=Rs1848
CP of both the watches = Rs (1016.40+1026.67)=Rs 2043.07
since CP>SP, Loss= 2043.07-1848=195.07