Question

A dress bought for Rs 250 and sold at Rs 150.
A cupboard bought for Rs 2500 and sold at Rs 3000. Find profit or loss percent (in one answer)

Answer 1

Question :

1) A dress bought for Rs 250 and sold at Rs 150. Find profit or loss percentage

2) A cupboard bought for Rs 2500 and sold at Rs 3000. Find profit or loss percentage.

Formula's used:

${\purple{\boxed{\large{\bold{\sf\:Loos\:Percentage=\dfrac{Loss}{CP}\times100\%}}}}}$

${\purple{\boxed{\large{\bold{\sf\:Profit\:Percentage=\dfrac{Profit}{CP}\times100\%}}}}}$

Solution :

Answer :1

Cost price,CP =₹250

Sold price ,SP =₹150

Here, CP>SP

So, Loss = CP -SP

= ₹(250-150) = ₹100

$\sf\:Loos\:Percentage=\dfrac{Loss}{CP}\times100\%$

$= \sf \dfrac{100}{250} \times 100\%$

$= \dfrac{10 \times \cancel{10}}{ \cancel{25} \times \cancel{10}} \times \cancel{100 } \%$

$= \sf40\%$

Answer :2

Cost price ,CP = ₹2,500

Selling price,SP =₹3,00

Here ,SP>CP

So,Profit=SP-CP

=₹(3000-2500)=₹500

$\sf\:Profit\:Percentage=\dfrac{profit}{CP}\times\%$

$= \sf \dfrac{500}{2500} \times 100\%$

$= \sf \dfrac{5 \times \cancel{100}}{25 \times \cancel{100}} \times 100\%$

$= \sf \dfrac{100}{5} \%$

$= 20\%$

Answer 2

Assumption 1.

Given :

A dress bought for Rs 250

C.P of dress = Rs 250

It was sold at Rs 150

S.P of dress = Rs 150

Now,

A cupboard was bought for Rs 2500

C.P of cupboard = Rs 2500

It was sold at Rs 3000

S.P of dress = Rs 3000

NOW,

Total C.P of both items = C.P of dress + C.P of cupboard

Total C.P = 250 + 2500 = Rs. 2750

Total S.P of both items = S.P of dress + S.P of cupboard

Total S.P = 150 + 3000 = Rs. 3150

Now,

C.P < S.P so there is profit

Profit = S.P - C.P

Profit = Rs. 3150 - Rs. 2750 = Rs. 400

Now, Profit%

$\bf Profit \:\%=\frac{Profit}{C.P} \times 100\\ \\= \frac{400}{2750} \times 100\\\\= \boxed{\boxed{\bf 14.54 \: \%}}$overall

Assumption 2

A dress bought for Rs 250

C.P of dress = Rs 250

It was sold at Rs 150

S.P of dress = Rs 150

Now,

Here, CP > SP

So, Loss = CP - SP

= Rs. (250 - 150) = Rs. 100

$\bf Loss\:\%=\frac{Loss}{C.P} \times 100\\ \\= \frac{100}{250} \times 100\\\\= \boxed{\boxed{\bf 40 \: \%}}$

Now,

A cupboard was bought for Rs 2500

C.P of cupboard = Rs 2500

It was sold at Rs 3000

S.P of dress = Rs 3000

Here ,S.P > C.P

So, Profit = S.P - C.P

=Rs.(3000-2500) = Rs.500

$\bf Profit \:\%=\frac{Profit}{C.P} \times 100\\ \\= \frac{500}{2500} \times 100\\\\= \boxed{\boxed{\bf 20 \: \%}}$