Which among following options are true relating to this question :

Ram sold a card and makes 20% profit out of it, how much profit he actually earned ?

1. Difference between cost price of card and selling price of card is Rs. 40.
2. Selling price of card is 120% of cost price of card.

Answer: Option C

Explanation:

Let the new S.P. be x, then.
(100 - loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)

$$\begin{aligned} =>\left( \frac{95}{1140} = \frac{105}{x} \right) \\ => x = 1260 \end{aligned}$$

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 C

Explanation:

Whenever we get this type of question, we should have formula in mind that,
Gain% = (gain/cost)*100

Cost = 4700 + 800 = Rs. 5500
S.P. = Rs. 5800

Profit = 5800 - 5500 = 300
$$\begin{aligned} Gain\% = \frac{300}{5500}*100 \\ = 5\frac{5}{11}\% \end{aligned}$$

Answer: Option B

Explanation:

We know, C.P. = 5000
S.P. = 4000
Loss = 5000 - 4000 = 1000
$$\begin{aligned} Loss\% = \left( \frac{Loss}{Cost} * 100 \right)\% \\ = \left( \frac{1000}{5000} * 100 \right)\% = 20\% \end{aligned}$$

Answer: Option A

Explanation:

This type of question can be easily and quickly solved as following:

Let at Rs x it can earn 15% pr0fit
85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]

x = (18700*115)/85
= Rs.25300