Question

✼Question
➥Ramesh sold two articles at rupees 375 each on one he gains 25% and on the other He losses 25% find his gain % or loss percent in the whole transaction​

Answer 1

Answer:

We have,

Selling price of two articles is Rs 375 each.

Cost Price of one article at 25% gain :

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

=(375 x 100)/(100 + 25)

= 37500/125

=300

Cost price of other article at 25% loss :

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

= (375 x 100)/(100 - 25)

= 37500/75 = 500

Now,

Cost Price of two articles = Rs (300 + 500) = Rs 800

Selling price of two articles = Rs (375 + 375) = Rs 75O

Cost Price > Selling price

Loss = C.P - S.P

= Rs (800 - 750)

= Rs 50

Loss % = (loss × 100)/C.P %

(50 x 100)/800 %

= 5000/800 %

= 6.25%

Answer : The loss percent in the whole transaction = 6.25%

hope it helps u

:)

Answer 2

Article - 1:

• S.P. (Selling Price) = ₹375
• Profit% = 25%
• We have to find C.P. (Cost Price) of the article.

$\:$

We know that,

$\boxed {\mathfrak {\green {C.P. = \dfrac {S.P. \times 100}{100 + P \%}}}}$

Now, substitute the values,

$\sf {C.P. = \dfrac {375 \times 100}{100 + 25}}$

$\sf {C.P. = \dfrac {37500}{125}}$

$\sf {C.P. = \dfrac {\cancel {37500}}{\cancel {125}}}$

C.P. = ₹300

$\:$

Article - 2:

• S.P. = ₹375
• Loss% = 25%
• We have to find C.P. of the article.

$\:$

We know that,

$\boxed {\mathfrak {\red {C.P. = \dfrac {S.P. \times 100}{100 - L \%}}}}$

Now, substitute the values,

$\sf {C.P. = \dfrac {375 \times 100}{100 - 25}}$

$\sf {C.P. = \dfrac {37500}{75}}$

$\sf {C.P. = \dfrac {\cancel {37500}}{\cancel {75}}}$

C.P. = ₹500

___________________________________________________________________

Overall transaction:

Total S.P. of both the articles = ₹375 × 2

= ₹750

Total C.P. of both the articles = ₹(500+300)

= ₹800

Clearly,

₹750 < ₹800

S.P. < C.P.

Therefore, it is a loss.

Loss = C.P. - S.P.

Loss = ₹(800-750)

Loss = ₹50

$\:$

We know,

$\boxed {\mathfrak {\orange {Loss \% = \dfrac {Loss}{C.P. } \times 100 \%}}}$

Substitute the values,

$\sf {Loss \% = \dfrac {50}{800} \times 100}$

Loss% = 6.25%

$\:$

Final answer:

Loss% on the overall transaction is of 6.25%.