Profit and Loss - Quiz

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To find out how much B paid A for the article, we can use the formula for profit:

Selling price = Cost + Profit

In this case, the selling price is 400 and the profit is 20%, so:

S.P FOR B = 400 + (20/100) * 400

This simplifies to:

S.P FOR B= 400 + 80

So B paid 400 +80 = 480 for the article.

To find out how much C pays B, we can use the same formula:

Selling price = Cost + Profit

In this case, the selling price is the amount that C pays, the cost is the 480 that B paid to A, and the profit is 10%. So:

Selling price = 480 + (10/100) * 480

This simplifies to:

Selling price = 480 + 48

So C pays 480 + 48= 528 to B. 

To find the percentage of profit, we can use the following formula:

Profit percentage = (Profit / Cost price) * 100

We can express the ratio of the cost price to the selling price as a fraction. Since the ratio is 10:11, the fraction representing the ratio is 10/11.

We can then use this fraction to find the profit and the cost price. The profit is the difference between the selling price and the cost price, so:

C.P = 10x

S.P = 11x

Profit = S.P - C.P

Profit = 11x - 10x = x

Profit percentage = ( x /10x )*100

Profit percentage = 10%

C.P = Rs. 27.50, S.P. = Rs. 28.60
So, Gain = Rs. (28.60 – 27.50) = Rs. 1.10.
$$\therefore Gain\mathrm{\%}=(\frac{1.10}{27.50}\times 100)\mathrm{\%}=4\mathrm{\%}$$

C.P. = Rs. 490, S.P = Rs. 465.50
Loss = Rs. (490 – 465.50) = Rs. 24.50
$$\therefore Loss\mathrm{\%}=(\frac{24.5}{490}\times 100)\mathrm{\%}=5\mathrm{\%}$$

Let the new S.P be Rs. X. Then,
(100 – loss%) : (1st S.P.) = (100 + gain%) : ( 2nd SP.)
$$\to \left(\frac{100-5}{1140}\right)=\left(\frac{100+5}{x}\right)\to x=\left(\frac{105+1140}{95}\right)=1260.$$

Let C.P of each article be Re. 1 Then, C.P of 18 articles = Rs.18, S.P of 18 articles = Rs. 21.
$$\therefore Gain=(\frac{3}{18}\times 100)\mathrm{\%}=16\frac{2}{6}\mathrm{\%}$$

Let C.P. be Rs. X Then, (105% of x) – (80% of x) = 100 or 25% of x = 100
∴ x/4 = 100 or x = 400
So C.P = Rs. 400.