Question

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

Answer 1

$\mathfrak{\huge{\underline{Answer:}}}$

In First Case :

$\sf \: S.P \: of \: Painting = Rs 924$

$\sf \: Gain = 20 \%$

$\sf \: Cost \: Price = \dfrac{ S.P \times 100}{100 + Gain }$

$\sf \: Cost \: Price = \dfrac{924 \times 100}{100 + 20}$

$\sf \: Cost Price = \cancel \dfrac{92400}{120}$

$\boxed{\underline{Cost\:Price :Rs\:770}}$

In Second Case :

$\sf \: S.P \: of \: Painting = Rs\:924$

$\sf \: Loss = 20 \%$

$\sf \: Cost \: Price = \dfrac{S.P \times 100 }{100 - Loss}$

$\sf \: Cost \: Price = \dfrac{924 \times 100}{100 - 20}$

$\sf \: Cost \: Price = \dfrac{92400}{80}$

$\boxed{\underline{Cost\:Price :Rs\:1155}}$

Now,

Total Selling Price = Rs 924+ Rs 924

$\boxed{\underline{Rs\:1848}}$

Total Cost Price = Rs 770+Rs 1155

$\boxed{\underline{Rs\:1925}}$

Here,C.P is greater Than S.P Thus,He Creates a Loss

Loss = C.P -S.P

Loss = Rs 1925 - Rs 1848

$\boxed{\underline{Loss\: = Rs\:77}}$

Answer 2

Step-by-step explanation:

GIVEN THAT :

S.P. of each painting = ₹924

Gain% on first painting = 20%

Loss% on sexing painting = 20%

TO FIND :

Gain or loss in the whole transaction

SOLUTION :

S.P. of 1st painting = ₹924

Gain% = 20%

Therefore,

C.P. of first painting = ?

C.P. = 100/120 × 924

=> ₹770

S.P. of second painting = ₹924

Loss% = 20%

Therefore,

C.P. of second painting = ?

C.P. = 100/80 × 924

=> ₹1155

Total C.P. = 770 + 1155 = ₹1925

Total S.P. = 924 + 924 = ₹1848

Therefore,

S.P. < C.P.

Therefore, it is loss

Loss = 1925 - 1848 = ₹77

ANSWER

The man lose ₹77 in the whole transaction.

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