Two articles are sold at the same price. One at a profit of 75% and another one at a loss of 30%.

Two articles are sold at the same price. One at a profit of 75% and another one at a loss of 30%.
Posted on 17-03-2023

Ques - Two articles are sold at the same price. One at a profit of 75% and another one at a loss of 30%.What is the overall profit or loss?

(a) 22.5% profit 

(b) 57.5% profit

(c) 13(2/7)% loss

(d) none of these 

Solution -

Let,

SP1 = 700

Now,

There is a profit of 75% on first article.

175% of CP1 = 700

CP1 = 700 × (100/175)

CP1 = 400

SP2 = 700

Now,

There is a loss of 30% on another article.

70% of CP2 = 700

CP2 = 700 × (100/70)

CP2 = 1000

Total CP = CP1 + CP2

= 400 + 1000

= 1400

Total SP = SP1 + SP2

= 700 + 700

= 1400

So,

Overall profit or loss = SP - CP

= 1400 - 1400

= 0

Therefore,

There is no profit no loss.

Hence,

The correct answer is option (d) none of these.

Thank You