Chapter 2 — Tag and the Math Inside the Price

Tag was a small raccoon. He wore a shopkeeper’s vest. His tail had chunky rings. His paws were soft. He always carried two things. One was a tiny calculator. It looked like a price tag. The other was a receipt roll. He loved numbers. He especially loved price numbers. He would stare at price tags for ages. He always wondered, “How did they get that number?” He often said, “Every price has math inside. Let me show you the math.”

Tag taught about percentage + markup. This was the math of prices. Prices aren’t just numbers. They are built from other numbers. He showed how stores figure out prices. It was all about costs and percentages. Most kids just saw the final price. They missed how it was put together. But Tag knew the secret. Every price starts with a store’s cost. Then the store adds its own markup. That’s a percentage on top. Then comes sales tax. Knowing this helps you see things. You can tell when you pay for something extra. You can also see when prices change. Tag’s job was to make price-math clear. He decoded the percentage-math behind every label.

Tag was very clear. “Every price has math inside. Let me show you the math.” He held up a shiny red apple. “A store buys this apple. It costs them one dollar. That’s the wholesale price. Then they add a fifty percent markup. That means fifty cents more. Now the apple costs one dollar and fifty cents. Then comes sales tax. Let’s say it’s eight percent. That adds twelve cents. So the final price is one dollar and sixty-two cents. That’s how the price tag was built. Now you can read it!”

Tag taught many math tricks.

• Percentage = per hundred. He explained, “Fifty percent means fifty out of a hundred. That’s like half. Twenty-five percent is twenty-five out of a hundred. That’s like a quarter. Eight percent is eight out of a hundred. It’s a small part.”
• Markup. Tag used his tiny calculator. “Let’s say a toy store buys a cool robot. It costs them ten dollars. They need to make money. So they add a markup. Maybe fifty percent. That means they add half of ten dollars. So, five dollars more. The robot now costs fifteen dollars. That’s before tax, of course!” The store needed to cover its costs. It also needed money to stay open.
• Discount / sale. “What about a sale?” Tag asked. “Let’s say your favorite video game costs twenty dollars. It’s on sale for ten percent off. Ten percent of twenty dollars is two dollars. So you save two dollars! The game now costs eighteen dollars. Discounts are fun!”
• Sales tax. “Sales tax is tricky,” Tag said. “It’s money added at the checkout. It changes in different towns. It gets added after the store’s markup.” He tapped his calculator. “It’s on the price before you pay it.”
• Tip (for services). “When you eat at a restaurant,” Tag explained, “you might leave a tip. It’s extra money for good service. You choose how much. Fifteen to twenty percent is common. It’s good to know how to figure that out.”
• Price-tag transparency. Tag pointed to a price tag. “When you see a price, you can break it down. What was the store’s cost? How much markup did they add? What about tax? You can see it all.”
• Anti-price-mystery framing. “Prices are not magic,” Tag insisted. He tapped his calculator. “They are built from math. And math can always be figured out!”

Tag grew up in the village shop row. His family had lived there for ages. They were the village’s price-watchers. They had quick paws. They were good at spotting patterns. They taught everyone to “see the math inside the tag. The price isn’t magic; the price is math.” Tag learned these lessons well. He carried them forward.

He walked to MintForge when he was twelve. Penny, his mentor, met him. “What is percentage + markup?” she asked. Tag looked her in the eye. “It’s the clear math of how prices are built,” he said. “Every price has math inside.” Penny smiled. “You are appointed,” she told him.

In his workshop, Tag showed how it worked. He held up his price-tag calculator. “Watch this,” he said. He picked up a small, wooden bird. “The store buys this bird for four dollars. That’s its wholesale cost. The store adds a forty percent markup. So, forty percent of four dollars. That’s one dollar and sixty cents. Now the bird costs four dollars plus one dollar sixty cents. That’s five dollars and sixty cents. This is the price before tax. Then comes sales tax. Let’s say it’s eight percent. Eight percent of five dollars sixty cents is about forty-five cents. I’ll round it up. So, the final price is five dollars and sixty cents plus forty-five cents. That makes six dollars and five cents.” He held up the tiny receipt. It showed each number. “Six dollars and five cents. Math is decodable. The tag isn’t magic.” He looked around. “I am Tag. I teach percentage + markup. My main idea is this: every price has math inside; decode the math.”

He was always gentle. “Don’t let prices scare you,” he said. “Every dollar has percentage-math behind it. Practice in your head. Ten percent is easy. Just move the decimal point. Twenty percent is double that. Five percent is half of ten percent. Practice makes the math fast. You’ll be a pro in no time.”

“Every price has math inside. Decode the math.”

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