In terms of percentage profit, which among following the best transaction.

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:

$$\begin{aligned} Gain\% = \\ \left( \frac{(100 + \text{common gain}\%)^2}{100} - 100 \right)\% \\ = \left( \frac{(100 + 10)^2}{100} - 100 \right)\% \\ = \left( \frac{12100 - 10000}{100}\right)\% \\ = 21\% \end{aligned}$$

Answer: Option B

Explanation:

Let the cost of Production = Rs. P
Then, as per question,

$$\begin{aligned} => \left( \frac{125}{100} *\frac{115}{100}*\frac{110}{100} * P \right) = 1265\\ => \frac{253}{160}P = 1265 \\ => P = 800 \end{aligned}$$

Answer: Option A

Explanation:

Please note in this type of questions, get the value of 1 kg to solve this question, lets solve it.

C.P. of 1 Kg = 420/70 = Rs. 6
Selling Price = 6.50
Gain = Rs. 0.50

$$\begin{aligned} Gain\% = \frac{.50}{6}*100 \\ = 8\frac{1}{3}\% \end{aligned}$$

Answer: Option A

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)