Question

The profit perfect of A and B is the same for selling and article for Rs. 8400 each, but A calculated his profit on the selling price while B calculated it on its cost price, which is equal to 3313%. The sum of their profit (in Rs.) is

Answer 1

Answer:

Rs 4900

Step-by-step explanation:

Both articles are sold at Rs 8400

Find the profit made from Article A:

Profit is 33 1/3 % of selling price

Profit = (33 1/3 ÷ 100) x 8400 = Rs 2800

Find the profit made from Article B:

Profit is 33 1/3 % of cost price

Selling Price = 100 + 33 1/3 = 133 1/3%

133 1/3 % = Rs 8400

1% = 8400 ÷ 133 1/3 = Rs 63

33 1/3 % = 63 x 33 1/3 = Rs 2100

Find the total profit:

Total profit = 2800 + 2100 = Rs 4900

Answer: The total profit is Rs 4900

Answer 2

Answer : $\bold{Rs \: 4900}$



Explanation -

Given :

Selling Price of both articles = Rs 8400

Profit = 33 1/3 % = 100/3%



Finding the Profit of Article - "A" -

Profit on selling price -


$\dfrac{8400 \times \frac{100}{3} }{100}$



$\dfrac{8400 \times 100}{300} = 2800$



So, Profit of Article "A" = Rs 2800 .


_____________________________________


Finding the Profit of Article "B" -

Profit on cost price

Let the cost price = 100


SP = CP + PROFIT

$= 100 + (100 \times \frac{100}{3} \%)$


$= 100 + 33.33$


$= 133.33$


If 133.33 = 8400

then 100/3 = ?


$\dfrac{ \frac{100}{3} \times 8400 }{133.33}$


$\dfrac{100 \times 8400}{399.99} = 2100$


So, Profit of Article "B" = Rs 2100.



Finding Total Profit -


Add both the profits -

= 2800 + 2100 = 4900

Total Profit = Rs 4900



Hence :

$\bold{Sum \: of \: their \: profits \: = \: Rs \: 4900}$