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Product Y was sold after applying successive discounts of 20% and 30% on the list price (marked price). What is the list price of product Y if it was sold at $112?
- a)180
- b)200
- c)224
- d)250
- e)300
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Product Y was sold after applying successive discounts of 20% and 30% ...
Ok. let say the price without discount is X, and Y is the price with discount.
when the first discount's applied the price will be:
x - (x*20%) ===>> 0.8x
then apply the second discount
0.8x - (0.8x*30%) ===>> 0.56x (0.56 x is price with 20% and 30% discount)
then,
0.56x = y
x = y/0.56
x = 112*100:56
x = 200
when the first discount's applied the price will be:
x - (x*20%) ===>> 0.8x
then apply the second discount
0.8x - (0.8x*30%) ===>> 0.56x (0.56 x is price with 20% and 30% discount)
then,
0.56x = y
x = y/0.56
x = 112*100:56
x = 200
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Community Answer
Product Y was sold after applying successive discounts of 20% and 30% ...
Calculating the List Price of Product Y
To find the list price of Product Y, we need to work backwards from the final selling price of $112 after the discounts have been applied.
Step 1: Applying 30% Discount
When a 30% discount is applied, the customer pays 70% of the original price. Therefore, after the first discount of 30%, the price becomes 70% of the original price.
Step 2: Applying 20% Discount
After the first discount, another 20% discount is applied. This means the customer pays 80% of the price after the first discount. Therefore, after the second discount of 20%, the price becomes 80% of 70% of the original price.
Step 3: Calculating the Final Selling Price
If the final selling price after both discounts is $112, we can set up the equation:
80% of 70% of the original price = $112
Step 4: Solving for the Original Price
Let the original price be x. Then, we have:
0.8 * 0.7 * x = $112
0.56x = $112
x = $112 / 0.56
x = $200
Therefore, the list price of Product Y is $200.
Conclusion
The list price of Product Y, before any discounts, is $200.
To find the list price of Product Y, we need to work backwards from the final selling price of $112 after the discounts have been applied.
Step 1: Applying 30% Discount
When a 30% discount is applied, the customer pays 70% of the original price. Therefore, after the first discount of 30%, the price becomes 70% of the original price.
Step 2: Applying 20% Discount
After the first discount, another 20% discount is applied. This means the customer pays 80% of the price after the first discount. Therefore, after the second discount of 20%, the price becomes 80% of 70% of the original price.
Step 3: Calculating the Final Selling Price
If the final selling price after both discounts is $112, we can set up the equation:
80% of 70% of the original price = $112
Step 4: Solving for the Original Price
Let the original price be x. Then, we have:
0.8 * 0.7 * x = $112
0.56x = $112
x = $112 / 0.56
x = $200
Therefore, the list price of Product Y is $200.
Conclusion
The list price of Product Y, before any discounts, is $200.
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Product Y was sold after applying successive discounts of 20% and 30% on the list price (marked price). What is the list price of product Y if it was sold at $112?a)180b)200c)224d)250e)300Correct answer is option 'B'. Can you explain this answer?
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