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Question Detail
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)
1. 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}
2. 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}
3. A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.
- Rs 25300
- Rs 22300
- Rs 24300
- Rs 21300
Answer: Option A
Explanation:
This type of question can be easily and quickly solved as following:
Let at Rs x it can earn 15% pr0fit
85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]
x = (18700*115)/85
= Rs.25300
4. 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%
5. A pair of articles was bought for Rs. 37.40 at a discount of 15%. What must be the marked price of each of the articles ?
- Rs15
- Rs 20
- Rs 22
- Rs 25
Answer: Option C
Explanation:
As question states that rate was of pair of articles,
So rate of One article = 37.40/2 = Rs. 18.70
Let Marked price = Rs X
then 85% of X = 18.70
=> X = 1870/85 = 22
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