Question Detail

100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is

$\begin{aligned} 12\frac{2}{7} \% \end{aligned}$
$\begin{aligned} 13\frac{2}{7} \% \end{aligned}$
$\begin{aligned} 14\frac{2}{7} \%\end{aligned}$
$\begin{aligned} 15\frac{2}{7} \% \end{aligned}$

Answer: Option C

Explanation:

So before solving this question we will get the C.P. and S.P. of 1 article to get the gain percent.

C.P. of 1 orange = 350/100 = Rs 3.50
S.P. of one orange = 48/12 = Rs 4 [note: divided by 12 as 1 dozen contains 12 items]
Gain = 4 - 3.50 = Rs 0.50

$\begin{aligned} Gain\% = \frac{0.50}{3.50}*100 \\ = \frac{100}{7}\% = 14\frac{2}{7}\% \end{aligned}$

1. If the cost price is 25% of selling price. Then what is the profit percent.

150%
200%
300%
350%

Answer: Option C

Explanation:

Let the S.P = 100
then C.P. = 25

Profit = 75

Profit% = 75/25 * 100 = 3005

2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit

70%
80%
90%
None of above

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)

3. If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is

Answer: Option B

Explanation:

Let the Cost Price of 1 item = Re. 1
Cost Price of 16 items = 16
Selling Price of 16 items = 12

Loss = 16 - 12 = Rs 4

Loss % = (4/16)* 100 = 25%

4. A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.

Rs 25300
Rs 22300
Rs 24300
Rs 21300

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