Question

Hema bought two pairs of jeans for 725 each.
She sold one of them at a gain of 8% and the
other at a loss of 4%. Find her gain or loss per cent on the whole transaction.
​

Answer 1

Given:

Cost of a pair of jeans = ₹725

Profit% on one of the jeans = 8%

Loss% on another jeans = 4%

To find:

Gain or loss percent on the whole transaction.

Solution:

We will do this answer in two parts as Jeans 1 and Jeans 2.

Jeans 1:

Cost Price = ₹725

Selling Price = ?

Profit % = 8%

We know that,

$\bf \red{S.P. = \dfrac {100+Profit\: percent}{100} × C.P.}$

Now we will put the values in the formula,

S.P. = $\dfrac {100+8}{100}$ × 725

S.P. = 27×29

S.P. = ₹783

Jeans 2:

Cost Price = ₹725

Selling Price = ?

Profit % = 4%

We know that,

$\bf \red{S.P. = \dfrac {100-Loss\: percent}{100} × C.P.}$

Now we will put the values in the formula,

S.P. = $\dfrac {100-4}{100}$ × 725

S.P. = 24×29

S.P. = ₹696

____________________

Now we know the S.P. of Jeans 1 and 2.

So,

Total C.P. of both the jeans = ₹(725+725)

= ₹1,450

Total S.P. of both the jeans = ₹(783+696)

= ₹1,479

₹1,450 < ₹1,479

C.P. < S.P., so it is a profit.

Profit = S.P. - C.P.

Profit = ₹(1,479-1,450)

Profit = ₹29

Profit% = $\dfrac {Profit}{C.P.}$×100%

So,

Profit % = $\dfrac {29}{1450}$×100%

Profit% = 2%

Final answer:

Hema had a gain% of 2% on the whole transaction.