To solve this problem step-by-step, let's break it down:
1. Cost Price Calculation:
- The cost price for 1 dozen (12) pencils is 70 cents.
- We are buying 6 dozen pencils.
- Therefore, the total cost price for 6 dozen pencils is [tex]\( 70 \times 6 = 420 \)[/tex] cents.
2. Total Number of Pencils:
- Each dozen contains 12 pencils.
- Thus, 6 dozen pencils contain [tex]\( 6 \times 12 = 72 \)[/tex] pencils.
3. Groupings for Selling:
- Pencils are sold in groups of 3.
- The total number of groups of 3 pencils can be calculated by dividing the total number of pencils by 3.
- Therefore, the number of groups is [tex]\( 72 \div 3 = 24 \)[/tex] groups.
4. Selling Price Calculation:
- The selling price for 3 pencils is 20 cents.
- For 24 groups of 3 pencils, the total selling price is [tex]\( 24 \times 20 = 480 \)[/tex] cents.
5. Profit Calculation:
- Total profit is calculated by subtracting the total cost price from the total selling price.
- So, the profit is [tex]\( 480 - 420 = 60 \)[/tex] cents.
Thus, the total profit on 6 dozen pencils is 60 cents.
So, the correct answer is:
b) 60 cents.
