Question: 1. Find the selling price, cost price and markup.
i. Cost Price (RM) 2,450 Markup (RM) 800 Selling Price (RM) ?
ii. Cost Price (RM) 100 Markup (RM) ? Selling Price (RM) 170
iii. Cost Price (RM) ? Markup (RM) 200 Selling Price (RM) 500
2. Find the percentage of cost price and percentage of selling price
i. % Cost Price % Markup based on cost price 20 % Selling Price
ii. % Cost Price % Markup based on cost price 4.5 % Selling Price
3. Find the percentage of cost price and percentage of selling price
i. % Cost Price % Markup based on selling price 9 % Selling Price
ii. % Cost Price % Markup based on selling price 16 % Selling Price
4. Cost price of a ball is RM12. Percentage of markup based on cost price is 25%. Find the markup and the selling price.
5. Selling price of a shirt is RM16. Percentage of markup based on selling price is 15%.
Find the markup and cost price.
6. Selling price of a watch is RM220 and was bought at RM175. Find the percentage of markup based on cost price and the percentage of selling price.
7. Cost price for a scarf is RM17 and resells at price of RM25. Find the percentage of markup based on selling price and percentage of cost price.
1. Problem: Find the selling price, cost price, and markup for the given cases.
Formula: Selling Price (SP) = Cost Price (CP) + Markup (M)
Rules: Markup is the amount added to the cost price to get the selling price.
Case i:
Given: $CP=2450$, $M=800$
Calculate $SP$:
$$SP = CP + M = 2450 + 800 = 3250$$
Case ii:
Given: $CP=100$, $SP=170$
Calculate $M$:
$$M = SP - CP = 170 - 100 = 70$$
Case iii:
Given: $M=200$, $SP=500$
Calculate $CP$:
$$CP = SP - M = 500 - 200 = 300$$
2. Problem: Find the percentage of cost price and percentage of selling price.
Formula:
Markup percentage based on cost price = $\frac{M}{CP} \times 100\%$
Selling price percentage = $100\% +$ markup percentage based on cost price
Case i:
Given markup percentage based on cost price = 20%
Calculate selling price percentage:
$$\text{Selling Price %} = 100\% + 20\% = 120\%$$
Case ii:
Given markup percentage based on cost price = 4.5%
Calculate selling price percentage:
$$\text{Selling Price %} = 100\% + 4.5\% = 104.5\%$$
3. Problem: Find the percentage of cost price and percentage of selling price based on markup percentage on selling price.
Formula:
Markup percentage based on selling price = $\frac{M}{SP} \times 100\%$
Cost price percentage = $100\% -$ markup percentage based on selling price
Case i:
Given markup percentage based on selling price = 9%
Calculate cost price percentage:
$$\text{Cost Price %} = 100\% - 9\% = 91\%$$
Case ii:
Given markup percentage based on selling price = 16%
Calculate cost price percentage:
$$\text{Cost Price %} = 100\% - 16\% = 84\%$$
4. Problem: Cost price of a ball is $12$. Percentage of markup based on cost price is $25\%$. Find the markup and selling price.
Formula:
Markup $M = CP \times \frac{\text{markup %}}{100}$
Selling Price $SP = CP + M$
Calculate:
$$M = 12 \times \frac{25}{100} = 3$$
$$SP = 12 + 3 = 15$$
5. Problem: Selling price of a shirt is $16$. Percentage of markup based on selling price is $15\%$. Find the markup and cost price.
Formula:
Markup $M = SP \times \frac{\text{markup %}}{100}$
Cost Price $CP = SP - M$
Calculate:
$$M = 16 \times \frac{15}{100} = 2.4$$
$$CP = 16 - 2.4 = 13.6$$
6. Problem: Selling price of a watch is $220$ and cost price is $175$. Find the percentage of markup based on cost price and selling price.
Formula:
Markup $M = SP - CP = 220 - 175 = 45$
Markup % based on cost price:
$$\frac{M}{CP} \times 100 = \frac{45}{175} \times 100 = 25.71\%$$
Markup % based on selling price:
$$\frac{M}{SP} \times 100 = \frac{45}{220} \times 100 = 20.45\%$$
7. Problem: Cost price for a scarf is $17$ and resells at $25$. Find the percentage of markup based on selling price and cost price.
Calculate markup:
$$M = 25 - 17 = 8$$
Markup % based on cost price:
$$\frac{8}{17} \times 100 = 47.06\%$$
Markup % based on selling price:
$$\frac{8}{25} \times 100 = 32\%$$