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Question Detail
A book was sold for Rs 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?
 2% Profit
 3% Profit
 2% Loss
 3% Loss
Answer: Option B
Explanation:
Please remember
\begin{aligned}
S.P. = \left( \frac{100+gain\%}{100} * C.P \right)\\
\text{So, C.P. = }\left( \frac{100}{110} * 25.75 \right)\\
\text{When S.P. = 25.75 then } \\
Profit = 25.75  25 = Re. 0.75 \\
Profit\% = \frac{0.75}{25} * 100 = 3\%
\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. 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. A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is
 12%
 13%
 14%
 15%
Answer: Option A
Explanation:
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Selling price = Rs. (8 x 21) = Rs. 168.
Profit = 168  150 = 18
So, Profit % = (18/150) * 100 = 12%
4. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is
 51:52
 52:53
 53:54
 54:55
Answer: Option B
Explanation:
Let the Cost price of article is Rs. x
Required ratio =
\begin{aligned}
\frac{104\% \text{ of } x}{106\% \text{ of } x} \\
= \frac{104}{106} = \frac{52}{53} = 52:53
\end{aligned}
5. If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is
 20%
 25%
 30%
 35%
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%
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