Question

find the profit % and loss % made in each of the following cases;
1) the S.P of 15 articles =S.P of 20 articles
2) S.P of 20 articles= C.P of 15 articles
3)BY selling 20 articles a shopkeeper gains =c.p of 5 articles

Answer 1

Answer on Question #42946, Math, Other

Find the profit % and loss % made in each of the following cases;

1) the S.P of 15 articles = C.P of 20 articles

2) S.P of 20 articles = C.P of 15 articles

3) BY selling 20 articles a shopkeeper gains = c.p of 5 articles

Solution:

If the selling price of an article is more than cost price, there is a gain or profit.

Thus, Profit = S.P - C.P

If the cost price of an article is greater than the selling price, the seller suffers a loss.

Thus, Loss = C.P - S.P

Profit and Loss are always calculated with respect to the cost price of the item.

1) the S.P of 15 articles = C.P of 20 articles

CP < SP, so we have Profit:

15 S.P = 20 C.P : Profit = 25%. If an article is sold at a gain 25%, then S.P = 125% of C.P.

2) S.P of 20 articles = C.P of 15 articles

CP > SP, so we have loss.

15 C.P = 20 S.P : loss = 25%. If an article is sold at a loss 25%, then S.P = 75% of C.P

3) BY selling 20 articles a shopkeeper gains = c.p of 5 articles

CP > SP, so we have loss.

5 C.P = 20 S.P : loss = 75%. If an article is sold at a loss 25%, then S.P = 25% of C.P

Answer: 1) Profit = 25%; 2) loss = 25%; 3) loss = 75%.

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