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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. 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%
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 shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
- 4%
- 5%
- 6%
- 7%
Answer: Option D
Explanation:
Gain % = (164.36*100/2400) = 6.84 % = 7% approx
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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