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A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is:

  • a)
    17%

  • b)
    12%

  • c)
    10%

  • d)
    8%

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A shopkeeper marks his goods 30% above his cost price but allows a dis...
Using successive changes formula
a + b + ab/100
= 20 - 10 + 20(-10)/100
= 10 - 2 = 8% profit
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Most Upvoted Answer
A shopkeeper marks his goods 30% above his cost price but allows a dis...
Given information:
- The shopkeeper marks his goods 30% above his cost price.
- The shopkeeper allows a discount of 10% at the time of sale.

Calculating the selling price:
Let's assume the cost price of the goods is $100.

The shopkeeper marks the goods 30% above the cost price, so the marked price will be:
Marked price = Cost price + 30% of cost price
= $100 + ($100 * 30/100)
= $100 + $30
= $130

The shopkeeper allows a discount of 10% at the time of sale, so the selling price after the discount will be:
Selling price = Marked price - 10% of marked price
= $130 - ($130 * 10/100)
= $130 - $13
= $117

Calculating the gain:
The gain is the difference between the selling price and the cost price.

Gain = Selling price - Cost price
= $117 - $100
= $17

Calculating the gain percentage:
The gain percentage is calculated with respect to the cost price.

Gain percentage = (Gain / Cost price) * 100
= ($17 / $100) * 100
= 17%

Therefore, the shopkeeper's gain is 17%.

Conclusion:
The correct answer is option 'D' (8%)
Free Test
Community Answer
A shopkeeper marks his goods 30% above his cost price but allows a dis...
Let the cost price be Rs. 100.
then the mark up price which is 30% above the cost price,
Mark price = (100 + 30% of 100) = Rs. 130
Shopkeeper gives a discount of 10% on mark up price, then the 
Selling Price = (130 - 10% 0f 130) = Rs. 117.
Gain = 117-100 = Rs. 17
%gain = (17*100)/100 = 17%.

Short Cut method:

100(CP)==30%↑==>130(MP)==10%↓==>117(SP).
Gain = 17%.
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A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is:a)17%b)12%c)10%d)8%Correct answer is option 'D'. Can you explain this answer?
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