A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400

Answer: Option C

Explanation:

Let original Cost price is x
Its Selling price = 105/100 * x = 21x/20
New Cost price = 95/100 * x = 19x/20
New Selling price = 110/100 * 19x/20 = 209x/200
[(21x/20) - (209x/200)] = 1

=> x = 200

Answer: Option D

Explanation:

Hint: Calculate profit percent as

Profit% = (profit/cost) * 100

Answer: Option D

Explanation:

85 : 9 = 105 : x
x= (9×105/85)
= Rs 11.81

Answer: Option C

Explanation:

We need to get the Total selling price to solve this question. Because after getting selling price we can get profit or loss, then we can calculate profit% or loss%

So lets solve this:

Price Received by selling one fourth of the material at a loss of 20% =
(1/4) * 600 * (80/100) = Rs. 120

Price Received by remaining material at a gain of 10% =
(3/4) * 600 * (110/100) = Rs. 495 [Note: 1-(1/4) = 3/4]

Total Selling Price = 120 + 465 = Rs. 615

Profit = 615 - 600 = 15

$$\begin{aligned} Profit\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\ = \left( \frac{15}{600} * 100 \right)\% \\ = \frac{5}{2}\% = 2\frac{1}{2}\% \end{aligned}$$

Answer: Option B

Explanation:

We Know,

$$\begin{aligned} S.P. = \left( \frac{100+gain\%}{100} * C.P \right)\\ => C.P. = \frac{100}{122.50}* 392 \\ = 320 \\ Profit = 392 -320 = Rs 72 \end{aligned}$$