Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A shopkeeper marks shirts at 25%25\% above cost price then allows a discount of 10%10\%. What is the profit or loss %\% ?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Multi-step problems with percentsright chevron icon

Full solution

Q. A shopkeeper marks shirts at 25%25\% above cost price then allows a discount of 10%10\%. What is the profit or loss %\% ?
  1. Assume Cost Price: Let's assume the cost price of the shirt is $100\$100 (it makes the math easier).
  2. Calculate Marked Price: First, calculate the marked price which is 25%25\% above the cost price. So, 25%25\% of $100\$100 is $25\$25.
  3. Add Marked Price: Add the $25\$25 to the original cost price to get the marked price: $100+$25=$125\$100 + \$25 = \$125.
  4. Calculate Discount: Now, the shopkeeper gives a 10%10\% discount on the marked price. 10%10\% of $125\$125 is $12.5\$12.5.
  5. Subtract Discount: Subtract the discount from the marked price to find the selling price: $125−$12.5=$112.5\$125 - \$12.5 = \$112.5.
  6. Find Profit/Loss Percentage: To find the profit or loss percentage, we compare the selling price to the cost price. The selling price is $112.5\$112.5 and the cost price was $100\$100.
  7. Calculate Profit: Calculate the profit by subtracting the cost price from the selling price: $112.5−$100=$12.5\$112.5 - \$100 = \$12.5.
  8. Calculate Profit Percentage: The profit percentage is the profit divided by the cost price, then multiplied by 100100. So, ($12.5/$100)×100=12.5%(\$12.5 / \$100) \times 100 = 12.5\%.

More problems from Multi-step problems with percents

Question
Johnny bought an oil painting originally priced at $80 but on sale for 5050% off. After 1010% sales tax, what was the total cost?\newline`$`____
Get tutor helpright-arrow

Posted 4 months ago

Question
It costs `$40` to buy 44 ironing boards. If the ironing boards all have the same price, how much does it cost to buy 11 ironing board? ` $`_____
Get tutor helpright-arrow

Posted 7 months ago

Question
Whitney buys a lamp online for $93\$93. If shipping and handling are an additional 10%10\% of the price, how much shipping and handling will Whitney pay? \newline $\$ _____\_\_\_\_\_
Get tutor helpright-arrow

Posted 8 months ago

Question
A 99-foot roll of plastic wrap costs $5.40\$5.40. What is the price per inch? \newline $\$ _____
Get tutor helpright-arrow

Posted 7 months ago

Question
A store purchased canoes for $300\$300 and sold them for $435\$435. What percentage is the mark-up? \newlineWrite your answer using a percent sign (%\%). \newline _____
Get tutor helpright-arrow

Posted 7 months ago

Question
A ceramic vase was originally priced at $100\$100 but went on sale for 50%50\% off. If Ernesto bought the ceramic vase and paid 12%12\% sales tax, how much did he pay in total? \newline $\$ ____
Get tutor helpright-arrow

Posted 7 months ago

Question
A 1212-foot roll of aluminum foil costs $7.20\$7.20. What is the price per inch?
Get tutor helpright-arrow

Posted 9 months ago

Question
A 1515-foot roll of paper towel costs $9.75\$9.75. What is the price per inch?
Get tutor helpright-arrow

Posted 7 months ago

Question
A 2020-foot roll of ribbon costs $8.00\$8.00. What is the price per inch?
Get tutor helpright-arrow

Posted 9 months ago

Question
A 66-foot roll of fabric costs $4.50\$4.50. What is the price per inch? \newline $\$ ______
Get tutor helpright-arrow

Posted 7 months ago

View all (86)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant