# Find the gain or loss % in the following:

CP = Rs. 46000, overheads = Rs. 4000, S.P = Rs. 60000

Last updated date: 18th Mar 2023

•

Total views: 303.3k

•

Views today: 6.82k

Answer

Verified

303.3k+ views

Hint: First of all find the final C.P by adding the given C.P to overheads, then if S.P > C.P, then there would be profit and if C.P > S.P, then there would be a loss. Profit or loss percent is calculated by \[\dfrac{\text{Profit / Loss}}{\text{C}\text{.P}}\times 100\].

Complete step-by-step answer:

Here, we are given that C.P = Rs. 46000, overheads = Rs. 4000 and S.P = Rs. 60000. We have to find the value of gain or loss %.

First of all, let us see what these terms mean.

1. C.P: C.P is the cost price at which the shopkeeper buys the items from the retailer.

2. Overheads: Overheads are extra charges/expenses of other things like traveling, packing, etc. which are also paid by the shopkeeper so it is added in the final cost price.

3. S.P: S.P is the selling price at which the shopkeeper sells the item to the customers.

Here, we are given that

Cost price or C.P = Rs. 46000

Overheads = Rs. 4000

S.P = Rs. 60000

Since the overheads are also paid by the shopkeeper, therefore we add overhead to C.P to get the final C.P.

So, our final C.P = C.P + Overheads

= Rs. 46000 + Rs. 4000

= Rs. 50,000

Hence, we get C.P = Rs. 50,000

S.P = Rs. 60,000

Here, S.P > C.P. Therefore, there would be a profit.

We know that Profit = S.P – C.P

By substituting the values of S.P and C.P, we get,

Profit = Rs. 60000 – Rs. 50000 = Rs. 10000

Now, we know that, Profit % \[=\dfrac{\text{Profit}}{\text{C}\text{.P}}\times 100\]

By substituting the values of profit and C.P, we get,

\[\text{Profit }\!\!%\!\!\text{ }=\dfrac{Rs.10000}{Rs.50000}\times 100\]

\[=\dfrac{1}{5}\times 100\]

= 20 %

So we get a gain or profit % as 20 %.

Note: Students must take care to find the final C.P first by adding the given C.P to overheads and then only proceed. Also, the final C.P would be used everywhere to find profit, loss, profit %, etc. Also, students must remember that when S.P > C.P, then there would be profit, and when C.P > S.P, then there would be a loss.

Complete step-by-step answer:

Here, we are given that C.P = Rs. 46000, overheads = Rs. 4000 and S.P = Rs. 60000. We have to find the value of gain or loss %.

First of all, let us see what these terms mean.

1. C.P: C.P is the cost price at which the shopkeeper buys the items from the retailer.

2. Overheads: Overheads are extra charges/expenses of other things like traveling, packing, etc. which are also paid by the shopkeeper so it is added in the final cost price.

3. S.P: S.P is the selling price at which the shopkeeper sells the item to the customers.

Here, we are given that

Cost price or C.P = Rs. 46000

Overheads = Rs. 4000

S.P = Rs. 60000

Since the overheads are also paid by the shopkeeper, therefore we add overhead to C.P to get the final C.P.

So, our final C.P = C.P + Overheads

= Rs. 46000 + Rs. 4000

= Rs. 50,000

Hence, we get C.P = Rs. 50,000

S.P = Rs. 60,000

Here, S.P > C.P. Therefore, there would be a profit.

We know that Profit = S.P – C.P

By substituting the values of S.P and C.P, we get,

Profit = Rs. 60000 – Rs. 50000 = Rs. 10000

Now, we know that, Profit % \[=\dfrac{\text{Profit}}{\text{C}\text{.P}}\times 100\]

By substituting the values of profit and C.P, we get,

\[\text{Profit }\!\!%\!\!\text{ }=\dfrac{Rs.10000}{Rs.50000}\times 100\]

\[=\dfrac{1}{5}\times 100\]

= 20 %

So we get a gain or profit % as 20 %.

Note: Students must take care to find the final C.P first by adding the given C.P to overheads and then only proceed. Also, the final C.P would be used everywhere to find profit, loss, profit %, etc. Also, students must remember that when S.P > C.P, then there would be profit, and when C.P > S.P, then there would be a loss.

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE