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The Toy Shop Clerk (illustration)
FILE No.166Unsolved

The Toy Shop Clerk

Difficulty ★★☆about 5 minEveryday MysteryMoneyObservation
The clerk did not ask his friend whether he wanted new or damaged. What did he go by?

Case Record

At a toy shop, Takeru said, "I'd like this plastic model kit," and handed over 2,000 yen. The clerk asked, "Would you like a new one?" At this shop, a new one costs 1,900 yen and one with scratches costs 1,400 yen.

His friend Koya, who came later, asked for the same kit and handed over one 1,000-yen bill and two 500-yen coins. The clerk, without asking anything, handed over a new one and gave 100 yen in change.

Your question

Why did the clerk not ask Koya?

Case Files

Diagram

Prices and paymentsCustomerPaid withClerkTakeru¥2,000"New one?"Koya¥1,000 note + two ¥500 coinsNew one, no question, ¥100changeNew: ¥1,900 / Damaged: ¥1,400.
Diagram

Hints

If you get stuck, open the hints one at a time, in order.

Open hint 1

How much would be enough for 1,400 yen?

Open hint 2

What did Koya hand over?

Open hint 3

How much is one 1,000-yen bill and one 500-yen coin?

Solve It

Your question

Why did the clerk not ask Koya?

Choose the answer closest to the truth.

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The Truth

Because the coins and bill he handed over included more than was needed for the damaged one

The answer is "Because the coins and bill he handed over included more than was needed for the damaged one."

The damaged one costs 1,400 yen, so one 1,000-yen bill and one 500-yen coin would be enough. Koya, who handed over a 1,000-yen bill and two 500-yen coins, offered what is needed for 1,900 yen (1,500 yen or more). Handing over "exactly 2,000 yen with two 500-yen coins" is the way someone who means to buy the new one pays.

There was no reservation, and the shop does not take reservations. There is no basis for his being a regular.

What the payment showsCasePaymentDamaged ¥1,400¥1,000 + one ¥500 is enoughKoya ¥2,000Two ¥500 coins → one is surplus for thedamaged oneNew ¥1,900Paying ¥1,000 + two ¥500 fits this
Diagram of the solution

Key Points

  • Focus on how he paid
  • Compare the amount needed with the amount handed over
  • Think about the grounds for the clerk's judgment

Why people get fooled

Because you do not try to look at the fine details of how the money was handed over.

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