Question

a dealer marks his goods 30% above cp but allows a discount σf 15% for cash . what profit percent does he mark?​

Answer 1

Answer:

10.5%.

Explanation:

At first we will assume CP as ₹100 then we will calculate Marked Price and Discount allowed to calculate Selling Price.After that we will calculate Profit and finally after that Profit%.

Step-by-step explanation:

Let CP = ₹100.

Calculating MP

MP = CP + (30% of CP)

➻ MP = ₹100 + ₹30

➻ MP = ₹130

Calculating Discount

Discount = 15% of MP

➻ Discount = $\sf\dfrac{15}{100}\:of\: 130$

➻ Discount = ₹19.5.

Calculating SP

SP = MP - discount

➻ SP = ₹130 - ₹19.5

➻ SP = ₹110.5.

Calculating Profit

Profit = SP - CP

➻ Profit = ₹110.5 - ₹100

➻ Profit = ₹10.5

Calculating Profit Percent[%]

Profit% = $\sf\dfrac{Profit}{CP}×100$

➻ Profit% = $\sf\dfrac{10.5}{100}×100$

➻ Profit% = ${\underline{\boxed{\sf{\bf{10.5\%}}}}}$

Hence,he marks profit percent as 10.5%.

Additional Information

Important Formulas

• Discount = MP - SP
• SP = MP - discount
• MP = SP + discount
• Discount% = ${\sf{\dfrac{Discount}{MP}}}×100$

• SP = $\sf\bigg(1-\dfrac{d}{100}\bigg)× MP$

Answer 2

Hey Mate! This is your solution :

Given :

• MP = CP(1+30%)
• DP %(Discount Percent) = 15%
• Profit % = ???

To Find :

The Profit % of the Article sold

Let's Assume :

Let's Assume That,

CP = 100x

So, MP = CP(1+30%)

or, MP = 100x+30x

or, MP = 130x

Process :

We are given that the dealer marked the price of the article 30% above the CP , and he makes a discount of 15% on the MP ,

So, first we will Assume the CP and MP of the article, then we will find the discount given on the article, So we can then find the SP of the Article.

Through SP , we can find Profit and Profit %

Solution :

Given, CP = 100x

MP = 130x

Discount % = 15%

The DP is :

So, DP = 15/100 × 130x

or, DP = 0.15×130x

or, DP = 19.5x

The SP is :

Hence, SP = MP-DP

or, SP = 130x-19.5x

or, SP = 110.5 x

The Profit is :

Hence, the Profit = SP-CP

or, Profit = 130x-110.5x

or, Profit = 10.5 x

The profit % is :

$\tt{profit\% = \frac{profit}{cp} \times 100}$

$\implies \tt{profit\% = 10.5 \times 1}$

$\red{ \underline{ \boxed{ \tt{ \therefore \: profit\% = 10.5\%}}}}$

Hence, Profit % = 10.5 %