Question

The selling price of a and b are rupees 1800 each. a calculate his profit % on. Selling price while B on cost price. Find the difference between there cost price if both claims 20% profit.?? Solution in brilliant

Answer 1

The difference between there cost price if both claims 20% profit is Rs. 60 .

Step-by-step explanation:

For C.P. of a:

S.P. of a = Rs. 1800

Profit% = 20%

Let the cost price for a be denoted as “C.P.1”.

It is given that, a calculates his profit % on Selling Price.

Therefore,

Profit% on S.P = [(S.P – C.P)/S.P] * 100  

⇒ 20 = [(1800 – C.P.1)/1800]*100

⇒ 20*18 = 1800 – C.P.1

⇒ C.P.1 = 1800 – 360

⇒ C.P.1 = Rs. 1440 …… (i)

For C.P. of b:

S.P. of b = Rs. 1800

Profit% = 20%

Let the cost price for b be denoted as “C.P.2”.

It is given that, b calculates his profit % on Cost Price.

Therefore,

Profit% on C.P. = [(S.P – C.P)/C.P] * 100  

⇒ 20 = [(1800 – C.P.2)/C.P2]*100

⇒ C.P.2 = [1800 – C.P.2] 5

⇒ C.P.2 = 9000 – 5C.P.2

⇒ 6 C.P.2 = 9000

⇒ C.P.2 = 9000/6

⇒ C.P.2 = Rs. 1500 …. (ii)

Thus, by substituting the values from (i) & (ii), we get

The difference between their cost price will be,

= C.P.2 – C.P.1

= Rs. 1500 – Rs. 1440

= Rs. 60

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Answer 2

Answer:

The difference would be rs 60.

Step-by-step explanation:

Since, profit on cost price,

$Profit\% = \frac{SP-CP}{CP}\times 100$

While profit on selling price,

$Profit\% = \frac{SP-CP}{SP}\times 100$

Here, in both a and b there is a profit of 20%,

Also, selling price of a = selling price of b = rs 1800,

For a,

$20 = \frac{1800-CP}{1800}\times 100$

$0.2 = \frac{1800-CP}{1800}$

$360 = 1800 - CP$

$CP = 1800 - 360$

$CP = 1440$

So, for b,

$20 = \frac{1800-CP}{CP}\times 100$

$0.2CP = 1800 - CP$

$0.2CP + CP = 1800$

$1.2CP = 1800$

$CP = 1500$

Thus, the difference in the CP's of a and b = 1500 - 1440 = 60 rupees.

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