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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. Akhil purchased 70kg vegetable at Rs. 420, then sold them at the rate of Rs. 6.50 per kg, find the profit percent.
 \begin{aligned} 8\frac{1}{3}\% \end{aligned}
 \begin{aligned} 7\frac{1}{3}\% \end{aligned}
 \begin{aligned} 6\frac{1}{3}\% \end{aligned}
 \begin{aligned} 5\frac{1}{3}\% \end{aligned}
Answer: Option A
Explanation:
Please note in this type of questions, get the value of 1 kg to solve this question, lets solve it.
C.P. of 1 Kg = 420/70 = Rs. 6
Selling Price = 6.50
Gain = Rs. 0.50
\begin{aligned}
Gain\% = \frac{.50}{6}*100 \\
= 8\frac{1}{3}\%
\end{aligned}
2. A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
 20%
 21%
 22%
 23%
Answer: Option B
Explanation:
\begin{aligned}
Gain\% = \\ \left( \frac{(100 + \text{common gain}\%)^2}{100}  100 \right)\% \\
= \left( \frac{(100 + 10)^2}{100}  100 \right)\% \\
= \left( \frac{12100  10000}{100}\right)\% \\
= 21\%
\end{aligned}
3. 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}
4. 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 %
5. A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
 Rs 100
 Rs 150
 Rs 200
 Rs 250
Answer: Option C
Explanation:
Let original Cost price is x
Its Selling price = 105/100 * x = 21x/20
New Cost price = 95/100 * x = 19x/20
New Selling price = 110/100 * 19x/20 = 209x/200
[(21x/20)  (209x/200)] = 1
=> x = 200
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