cost price of article a is 100 more than cost price of article b. article a was sold at 40% profit and article b at 40% loss.if overall profit earned after selling both the articles is 5%,then what is cost price of article b?

1) 300,2) 400 3) 250,4) 350 5) 850

Let's solve the problem step by step:

1. Let's assume the cost price of Article B is x.
2. According to the given information, the cost price of Article A is 100 more than the cost price of Article B, so the cost price of Article A would be x + 100.
3. Article A is sold at a 40% profit, which means it was sold for 140% of its cost price. Therefore, the selling price of Article A would be 1.4*(x + 100).
4. Similarly, Article B is sold at a 40% loss, which means it was sold for 60% of its cost price. Therefore, the selling price of Article B would be 0.6x.
5. The overall profit earned after selling both the articles is 5%, which means the total selling price is 105% of the total cost price. Therefore, the equation can be formed as follows:
1.4*(x + 100) + 0.6x = 1.05*(x + x + 100)
Simplifying the equation:
1.4x + 140 + 0.6x = 2.1x + 210
2x = 70
x = 35
6. Therefore, the cost price of Article B is 35.

So, the correct answer is 35.

To find the cost price of article b, we need to understand the given information and solve step by step.

Let's assume the cost price of article b is 'x' (in some currency units). According to the information given, the cost price of article a is 100 more than the cost price of article b. Therefore, the cost price of article a is (x + 100).

Now, let's analyze the selling prices of both articles:
- Article a was sold at a 40% profit, so the selling price of article a would be (cost price of article a) + 40% of (cost price of article a).
- Article b was sold at a 40% loss, so the selling price of article b would be (cost price of article b) - 40% of (cost price of article b).

Now, let's calculate the selling prices:
- Selling price of article a = (x + 100) + 40% of (x + 100)
- Selling price of article b = x - 40% of x

The overall profit earned after selling both articles is 5%. So, the total selling price for both articles should be the cost price + 5% of the cost price.

Now, let's calculate the overall selling price:
- Overall selling price = (cost price of article a) + (cost price of article b) + 5% of (cost price of article a + cost price of article b) = (x + 100) + x + 5% of [(x + 100) + x]

According to the given information, the overall selling price should be equal to the sum of the selling prices of both articles:
- Overall selling price = Selling price of article a + Selling price of article b

Now, let's equate the two equations:
(x + 100) + x + 5% of [(x + 100) + x] = (x + 100) + 40% of (x + 100) + x - 40% of x

Simplifying the equation:
2x + 5% of (2x + 200) = 2x + 100 + 40% of (2x + 200) - 40% of x

Now, let's solve the equation step by step:
2x + 0.05(2x + 200) = 2x + 100 + 0.40(2x + 200) - 0.40x

Expanding the terms:
2x + 0.1x + 10 = 2x + 100 + 0.8x + 80 - 0.4x

Combining like terms:
2.1x + 10 = 2.4x + 180 - 0.4x

Simplifying further:
2.1x - 2.4x + 0.4x = 180 - 10

Combine like terms:
0.9x = 170

Dividing both sides by 0.9:
x = 170/0.9

Evaluating x:
x ≈ 188.89 (rounded to the nearest two decimal places)

Therefore, the cost price of article b is approximately 188.89.

As none of the given options match exactly with the calculated cost price, it appears that there might be an error in the options. Please double-check the provided options or consult the source for the correct options.

A=100+B

.05(A+B)=.4A-.4B
.05(100+B+B)=.4(100+B)-.4B
5+.1B=40+.4B-.4B
.1B=35
B=350

let cp(b)=x and cp(a)=x+100

sp of a=x*140/100
sp of b=(x+100)*60/100

(x*140/100)+(x+100)*60/100=(x+x+100)*105/100
on solving this i got,
x=4.5