Question

A man sold 2 articles for Rs2970 each, gaining 10% on one and losing 10% on other, find the gain or loss percent on the whole transaction.

Answer 1

The SP of the article(each)=2970

Loss=10%

Loss=10/100*2970

=2970/10

=297

Profit on the other is 10%

Profit=10/100*2970

=2970/10

=297

Profit-Loss=297-297=0

So loss and profit are equal.

Hence there is neither profit nor loss from the transaction.

Gain or loss% is 0%

Hope it helps.

Answer 2

Answer:

Step-by-step explanation:

For 1st Article-

S.P. = ₹2970

Gain%=10%

To find C.P.-

C.P. x (1 + gain%/100) = S.P.

C.P. x (1 + 10/100) = ₹2970

C.P. x 11/10 = ₹2970

C.P. = ₹2700

Thus, C.P. of 1st Article is ₹2700

For 2nd Article-

S.P. =₹2970

Loss%=10%

To find C.P.-

C.P. x (1 - loss%/100) = S.P.

C.P. x (1 - 10/100) = ₹2970

C.P. x 9/10 = ₹2970

C.P. = ₹3300

Thus, C.P. of 2nd Article is ₹3300

Total S.P.= ₹2970 + ₹2970 = ₹5940

Total C.P.= ₹2700 + ₹3300 = ₹6000

As we can see that ₹5940 < ₹6000 (S.P. < C.P.)

So, there’s a loss.

Total loss = C.P.-S.P.

= ₹6000 - ₹5940 = ₹60

Total loss% = loss/C.P. x 100%

= ₹60/₹6000 x 100%

= 1%

Therefore, his total loss% in this whole transaction = 1%