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If the discount on an item is increased by 2%, then the profit on it gets decreased from
33.33% to 30%. Find the ratio of marked price and cost price for this item.
4 : 3
5 : 3
7 : 4
7 : 5
6 : 5
- The original profit is 33.33%, which implies the cost price (CP) becomes 1.3333 times with the profit.
- The profit then drops to 30% with an additional 2% discount.
- This means the ratio of the marked price (MP) to the new sale price was reduced when the discount was increased.
- Both profits relate to the original cost price.
- We'll equate two equations for the profits: 1.3333 = MP * (1 - discount1) / CP and 1.3 = MP * (1 - discount2) / CP
- Solving these gives the correct ratio of MP to CP.
Correct Answer: Option 4: 7 : 5
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