Question

a man sold two paintings for rupees 924 each and he is he gain 20% on the other He loses 20% How much he gain or loss in whole transaction ?​

Answer 1

$\sf\underline{Step-by-step \: explanation}$

To know the account, we have to find the CP

In the first case,

Using direct formula,

CP =

$\tt\dfrac{100}{100 \: + \: p \: \%} \: \times \: sp$

Solving for the same,

x =

$\tt\dfrac{100}{120} \: \times \: 924$

[100 + P% = 100 + 20 = 120]

After Cancellation...

Rs. 770 [CP]

2nd Case,

Formula for loss,

CP =

$\tt\dfrac{100}{100 \: - \: l \: \%} \: \times \: sp$

Solving,

$\tt\dfrac{100}{80} \: \times \: 924$

After Cancellation..

Rs. 1155

Now, let's count the transactions

First Case,

CP = Rs. 770

SP = Rs. 924

Profit = Sp - Cp

Profit = Rs. 924 - Rs. 770 = Rs. 154

Profit Transaction = Rs. 154

Second Case,

Cp = Rs. 1155

Sp = Rs. 924

Loss = Cp - Sp

Loss = Rs. 1155 - Rs. 924 = Rs. 231

Loss Transaction = Rs. 231