an article was purchased for ₹4000 . its price was marked up be 30%.it was sold at discount of 20%on the marked price. what is the profit% on the cp
Answers
Answer:
Quantitative Aptitude ≫ Profit and Loss ≫ Discount and MP
Question:
An article was sold for ₹ 4,000. Had a discount of 10% was being offered, the profit would have been 20%. The cost price of the article was:
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Options:
₹ 3,200
₹ 3,310
₹ 3,000
₹ 3,600
Correct Answer: Option 3 (Solution Below)
Solution:
Given:
Selling Price = Rs. 4000
Profit percentage = 20%
Discount percentage = 10%
Formula used:
Profit percentage = {(SP - CP)/CP} × 100
where,
CP = Cost price
SP = Selling price
Calculation:
Let the CP be 100x.
If the discount of 10% was given on selling price, then new SP = 4000 - 4000 × 10%
⇒ 4000 - 400
⇒ 3600
Profit percentage = {(SP - CP)/CP} × 100
⇒ 20 = {(3600 - 100x)/100x} × 100
⇒ 20x = {3600 - 100x}
⇒ 120x = 3600
⇒ x = 30
CP will be 100 × 30 = Rs. 3000
Answer:
Discount of 10% on marked price=800*10%-80
Selling price-800-80-720
The dealer makes a profit of 20% means is selling the article at 120%.
120%-720
1%=6
<
Hence, 100%-600
Thus, the cost price of article= 600
If no discount allowed,
Selling price will become 800
Profit= SP-CP= 800-600-200
Profit percent (200/600)*100=33.33%
Therefore, the profit percent when no discount allowed=33.33%