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Question Detail
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}
1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x
- 13
- 14
- 15
- 16
Answer: Option D
Explanation:
Let the Cost Price of one article = Rs. 1
CP of x articles = Rs. x
CP of 20 articles = 20
Selling price of x articles = 20
Profit = 25% [Given]
\begin{aligned}
\Rightarrow \left (\dfrac{SP - CP }{CP}\right ) = \dfrac{25}{100} = \dfrac{1}{4}
& \Rightarrow \dfrac{\left(20-x \right )}{x} = \dfrac{1}{4} \\
& \Rightarrow 80 - 4x = x \\
& \Rightarrow 5x = 80 \nonumber \\
& \Rightarrow x = \dfrac{80}{5} = 16 \\
\end{aligned}
2. In terms of percentage profit, which among following the best transaction.
- C.P. 36, Profit 17
- C.P. 50, Profit 24
- C.P. 40, Profit 19
- C.P. 60, Profit 29
Answer: Option D
Explanation:
Hint: Calculate profit percent as
Profit% = (profit/cost) * 100
3. 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
4. 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
5. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is
- \begin{aligned} \frac{6}{19}\% \end{aligned}
- \begin{aligned} \frac{6}{17}\% \end{aligned}
- \begin{aligned} 5\frac{5}{11}\% \end{aligned}
- \begin{aligned} 3\frac{5}{11}\% \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}
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