profit loss
Directions (): Answer the questions based on the information given below.
The given line graph shows the sum of the cost price and selling price, and the discount offered on five different articles.
The sum of the discounts offered on all these articles is Rs. 2300.
If the article ‘B’ has been marked up by 20% and then same discount is offered on it then the sum of the selling price and cost price decreases by Rs. 90. Find the percentage by which the article was marked up above its cost price originally.
- 40%
- 15%
- 20%
- 25%
- 30%
Explanation
Let the cost price of the article be Rs. x
Therefore, marked price of the article = Rs. 1.2x
Selling price of the article = Rs. (1.2x – 200)
According to the question,
3850 – (x + 1.2x – 200) = 90
Or, 2.2x = 3960
Or, x = 3960/2.2 = Rs. 1800
Therefore, original selling price of the article = 3850 –
1800 = Rs. 2050
Original marked price = 2050 + 200 = Rs. 2250
Percentage by which article is marked up above its cost
price = {(2250 – 1800)/1800} × 100 = 25%
Question: 2The profit earned on article ‘D’ is Rs. 240. If the discount offered on article D had been Rs. 390 less then what should be the cost price of the article so that the percentage by which article is marked up above its cost price and the selling price remain the same.
- Rs. 2700
- Rs. 2500
- Rs. 3100
- Rs. 2800
- Rs. 2400
Explanation
Let the cost price of article ‘D’ be Rs. x
Therefore, selling price of the article = (x + 240)
According to the question,
(x + 240 + x) = 6240
Or, 2x = 6000
Or, x = 6000/2 = Rs. 3000
Therefore, cost price of the article = Rs. 3000
Selling price of the article = 3000 + 240 = Rs. 3240
Marked price of the article = 3240 + 660 = Rs. 3900
Percentage by which the article is marked above its cost
price = {(3900 – 3000)/3000} × 100 = 30%
According to the question,
New discount = 660 – 390 = Rs. Rs. 270
New marked price = 3240 + 270 = Rs. 3510
Required cost price = 3510/1.3 = Rs. 2700
Question: 3The cost price of the article ‘F’ is 2.5 times the discount offered on article ‘D’. The sum of the selling price and cost price of article ‘F’ is equal to that of ‘E’. If the discount offered on article ‘F’ is 25% of the sum of the selling price and cost price of article ‘B’, then find the amount by which article ‘F’ is marked up.
- Rs. 1080.5
- Rs. 720
- Rs. 740
- Rs. 612.5
- Rs. 662.5
Explanation
Cost price of article ‘F’ = 2.5 × 660 = Rs. 1650
Selling price of article ‘F’ = 3000 – 1650 = Rs. 1350
Discount offered on the article = 0.25 × 3850 = Rs. 962.5
Therefore, marked price of the article = 1350 + 962.5 =Rs. 2312.5
mount by which article ‘F’ is marked up = 2312.5 – 1650 = Rs. 662.5
Common Explanation:
20x + 10x + 22x + 33x + 30x = 2300
Or, 115x = 2300
Or, x = 20
Discount offered (in Rs.)
A => 20x = 400
B => 10x = 200
C => 22x = 440
D => 33x = 660
E => 30x = 600
Let the cost price of the article be Rs. x
Therefore, selling price of the article = Rs. (x + 100)
According to the question,
(x + x + 100) = 5100
Or, 2x = 5000
Or, x = Rs. 2500
Therefore, cost price of the article = Rs. 2500
Selling price of the article = (2500 + 100) = Rs. 2600
Therefore, marked price of the article ‘A’ = (2600 + 400)= Rs. 3000
Amount by which article ‘A’ is marked up = (3000 –2500) = Rs. 500
Question: 4The selling price of article ‘A’ is Rs. 100 more than its cost price. If the article ‘A’ had been marked up by 20% less amount than the original, then how much discount should be offered on the article so that there is a profit of 14%.
- Rs. 80
- Rs. 50
- Rs. 75
- Rs. 60
- Rs. 40
Explanation
According to the question,
New amount by which article ‘A’ is marked up = 0.8 ×
500 = Rs. 400
New marked price of the article = 2500 + 400 = Rs. 2900
New selling price = 1.14 × 2500 = Rs. 2850
Required discount = 2900 – 2850 = Rs. 50
Common Explanation:
20x + 10x + 22x + 33x + 30x = 2300
Or, 115x = 2300
Or, x = 20
Discount offered (in Rs.)
A => 20x = 400
B => 10x = 200
C => 22x = 440
D => 33x = 660
E => 30x = 600
Let the cost price of the article be Rs. x
Therefore, selling price of the article = Rs. (x + 100)
According to the question,
(x + x + 100) = 5100
Or, 2x = 5000
Or, x = Rs. 2500
Therefore, cost price of the article = Rs. 2500
Selling price of the article = (2500 + 100) = Rs. 2600
Therefore, marked price of the article ‘A’ = (2600 + 400)= Rs. 3000
Amount by which article ‘A’ is marked up = (3000 –2500) = Rs. 500
Question: 5The selling price of article ‘C’ is Rs. 200 less than its cost price. If the cost price of the article ‘C’ had been 25% more and the amount by which article C has been marked up is 15% more than the original, then find the profit/loss percent if the discount offered on the article remained the same.
- 9.6%
- 7.4%
- 8.2%
- 6.25%
- 5.8%
Explanation
According to the question,
New cost price of the article = 1.25 × 1600 = Rs. 2000
New amount by which the article is marked up = 15% of 1840 = Rs. 276
New marked price of the article = 2000 + 276 = Rs. 2276
New selling price = 2276 – 440 = Rs. 1836
Required loss percentage = {(2000 – 1836)/2000} × 100
= 8.2%
Common Explanation:
20x + 10x + 22x + 33x + 30x = 2300
Or, 115x = 2300
Or, x = 20
Discount offered (in Rs.)
A => 20x = 400
B => 10x = 200
C => 22x = 440
D => 33x = 660
E => 30x = 600
Let the cost price of the article be Rs. x
Therefore, selling price of the article = Rs. (x + 100)
According to the question,
(x + x + 100) = 5100
Or, 2x = 5000
Or, x = Rs. 2500
Therefore, cost price of the article = Rs. 2500
Selling price of the article = (2500 + 100) = Rs. 2600
Therefore, marked price of the article ‘A’ = (2600 + 400)= Rs. 3000
Amount by which article ‘A’ is marked up = (3000 –2500) = Rs. 500
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By: Munesh Kumari