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Question Detail
A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
 Rs.1200
 Rs.1230
 Rs.1260
 Rs.1290
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}
1. 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}
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. 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}
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. A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage
 \begin{aligned} 4\frac{1}{2} \end{aligned}
 \begin{aligned} 3\frac{1}{2} \end{aligned}
 \begin{aligned} 2\frac{1}{2} \end{aligned}
 \begin{aligned} 1\frac{1}{2} \end{aligned}
Answer: Option C
Explanation:
We need to get the Total selling price to solve this question. Because after getting selling price we can get profit or loss, then we can calculate profit% or loss%
So lets solve this:
Price Received by selling one fourth of the material at a loss of 20% =
(1/4) * 600 * (80/100) = Rs. 120
Price Received by remaining material at a gain of 10% =
(3/4) * 600 * (110/100) = Rs. 495 [Note: 1(1/4) = 3/4]
Total Selling Price = 120 + 465 = Rs. 615
Profit = 615  600 = 15
\begin{aligned}
Profit\% = \left( \frac{Gain}{Cost} * 100 \right)\% \\
= \left( \frac{15}{600} * 100 \right)\% \\
= \frac{5}{2}\% = 2\frac{1}{2}\%
\end{aligned}
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