Question Detail

If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is ?

Answer: Option C

Explanation:

Friends, we know we will need gain amount to get gain percent, right. So lets get gain first.

Let the cost price of 1 pen is Re 1
Cost of 8 pens = Rs 8
Selling price of 8 pens = 12
Gain = 12 - 8 = 4

$\begin{aligned} Gain\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\ = \left( \frac{4}{8} * 100 \right)\% = 50\% \end{aligned}$

1. A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

Rs. 660
Rs. 760
Rs. 860
Rs. 960

Answer: Option D

Explanation:

Here always remember, when ever x% loss,
it means S.P. = (100 - x)% of C.P
when ever x% profit,
it means S.P. = (100 + x)% of C.P

So here will be (100 - x)% of C.P.
= 80% of 1200
= 80/100 * 1200
= 960

2. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.

130%
140%
150%
160%

Answer: Option B

Explanation:

Let the C.P. = x,
Then S.P. = (120/100)x = 6x/5
New S.P. = 2(6x/5) = 12x/5

Profit = 12x/5 - x = 7x/5

Profit% = (Profit/C.P.) * 100
=> (7x/5) * (1/x) * 100 = 140 %

3. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.

Answer: Option C

Explanation:

Let the cost price 1 article = Re 1
Cost price of x articles = x
S.P of x articles = 20

Gain = 20 -x

$\begin{aligned} => 25 = \left( \frac{20-x}{x} * 100 \right) \\ => 2000 - 100x = 25 x \\ => x = 16 \end{aligned}$

4. A shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.

Rs. 70
Rs. 72
Rs. 74
Rs. 76

Answer: Option B

Explanation:

We Know,

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

5. A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.

Answer: Option B

Explanation:

We know, C.P. = 5000
S.P. = 4000
Loss = 5000 - 4000 = 1000

$\begin{aligned} Loss\% = \left( \frac{Loss}{Cost} * 100 \right)\% \\ = \left( \frac{1000}{5000} * 100 \right)\% = 20\% \end{aligned}$

Prasiddhi 6 years ago

I like it Very so much
Apoorva 10 years ago

thnx a lot Sir, plz provide more questions..

mastguru 10 years ago replied

Sure Apurva !