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Two articles are sold for ₹ 962 each. On one, the seller gains 30% and on the other he loses 26%. What is his overall gain or loss percentage, nearest to one decimal place? (SSC CGL-2018)
- a)6.0% gain
- b)5.7% loss
- c)5.7% gain
- d)6.0% loss
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two articles are sold for 962 each. On one, the seller gains 30% and ...
Let's solve the problem step by step:
Given information:
- Two articles are sold for 962 each.
- On one article, the seller gains 30%.
- On the other article, the seller loses 26%.
To find the overall gain or loss percentage, we need to calculate the total cost price and the total selling price.
Let's assume the cost price of the first article is C1 and the cost price of the second article is C2.
Calculating the selling price:
- The selling price of the first article is C1 + 30% of C1 = C1 + 0.3C1 = 1.3C1.
- The selling price of the second article is C2 - 26% of C2 = C2 - 0.26C2 = 0.74C2.
According to the given information, both articles are sold for 962 each. So we can write the following equations:
1.3C1 = 962 ...(1)
0.74C2 = 962 ...(2)
Solving equations (1) and (2) will give us the values of C1 and C2.
From equation (1):
C1 = 962/1.3 = 740
From equation (2):
C2 = 962/0.74 = 1300
Calculating the total cost price and total selling price:
Total cost price = C1 + C2 = 740 + 1300 = 2040
Total selling price = 962 + 962 = 1924
Calculating the overall gain or loss percentage:
Gain or Loss = (Total Selling Price - Total Cost Price) / Total Cost Price * 100
= (1924 - 2040) / 2040 * 100
= -116 / 2040 * 100
≈ -5.68627
Therefore, the overall gain or loss percentage, rounded to one decimal place, is approximately 5.7% loss (option B).
Given information:
- Two articles are sold for 962 each.
- On one article, the seller gains 30%.
- On the other article, the seller loses 26%.
To find the overall gain or loss percentage, we need to calculate the total cost price and the total selling price.
Let's assume the cost price of the first article is C1 and the cost price of the second article is C2.
Calculating the selling price:
- The selling price of the first article is C1 + 30% of C1 = C1 + 0.3C1 = 1.3C1.
- The selling price of the second article is C2 - 26% of C2 = C2 - 0.26C2 = 0.74C2.
According to the given information, both articles are sold for 962 each. So we can write the following equations:
1.3C1 = 962 ...(1)
0.74C2 = 962 ...(2)
Solving equations (1) and (2) will give us the values of C1 and C2.
From equation (1):
C1 = 962/1.3 = 740
From equation (2):
C2 = 962/0.74 = 1300
Calculating the total cost price and total selling price:
Total cost price = C1 + C2 = 740 + 1300 = 2040
Total selling price = 962 + 962 = 1924
Calculating the overall gain or loss percentage:
Gain or Loss = (Total Selling Price - Total Cost Price) / Total Cost Price * 100
= (1924 - 2040) / 2040 * 100
= -116 / 2040 * 100
≈ -5.68627
Therefore, the overall gain or loss percentage, rounded to one decimal place, is approximately 5.7% loss (option B).
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Community Answer
Two articles are sold for 962 each. On one, the seller gains 30% and ...
Cost price of one article = 
Cost price of other article =
Loss = (740 + 1300) – (962 + 962) = 116
Cost price of other article =
Loss = (740 + 1300) – (962 + 962) = 116
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Two articles are sold for 962 each. On one, the seller gains 30% and on the other he loses 26%. What is his overall gain or loss percentage, nearest to one decimal place? (SSC CGL-2018)a)6.0% gainb)5.7% lossc)5.7% gaind)6.0% lossCorrect answer is option 'B'. Can you explain this answer?
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