Logic Puzzles

## Bicycle Thieves

Difficulty:

A friend of mine runs a bicycle shop and he narrated to me this following story:

A man, who looked like a tourist, came to his shop one day and bought a bicycle from him for Rs. 350. The cost price of the bicycle was Rs. 300. So my friend was happy that he had made a profit of Rs. 50 on the sale. However, at the time of settling the bill, the tourist offered to pay in travellers cheques as he had no cash money with him. My friend hesitated. He had no arrangements with the banks to encash travellers cheques. But he remembered that the shopkeeper next door had such a provision, and so he took the cheques to his friend next door and got cash from him.

The travellers cheques were all made out for Rs. 100 each and so he had taken four cheques from the tourist totalling to Rs. 400! On encashing them my friend paid back the tourist the balance of Rs. 50.

The tourist happily climbed the bicycle and pedalled away whistling a tune.

However, the next morning my friend's neighbour, who had taken the travellers cheques to the bank, called on him and returning the cheques which had proved value-less demanded the refund of his money. My friend quietly refunded the money to his neighbour and tried to trace the tourist who had given him the bad cheques and taken away his bicycle. But the tourist could not be found.

How much did my friend lose altogether in this un-fortunate transaction?

A man, who looked like a tourist, came to his shop one day and bought a bicycle from him for Rs. 350. The cost price of the bicycle was Rs. 300. So my friend was happy that he had made a profit of Rs. 50 on the sale. However, at the time of settling the bill, the tourist offered to pay in travellers cheques as he had no cash money with him. My friend hesitated. He had no arrangements with the banks to encash travellers cheques. But he remembered that the shopkeeper next door had such a provision, and so he took the cheques to his friend next door and got cash from him.

The travellers cheques were all made out for Rs. 100 each and so he had taken four cheques from the tourist totalling to Rs. 400! On encashing them my friend paid back the tourist the balance of Rs. 50.

The tourist happily climbed the bicycle and pedalled away whistling a tune.

However, the next morning my friend's neighbour, who had taken the travellers cheques to the bank, called on him and returning the cheques which had proved value-less demanded the refund of his money. My friend quietly refunded the money to his neighbour and tried to trace the tourist who had given him the bad cheques and taken away his bicycle. But the tourist could not be found.

How much did my friend lose altogether in this un-fortunate transaction?

One'can think of different answers for this question, but yet the correct answer is very simple. All we have to consider is that the shopowner could not have possibly lost more than the tourist actually stole.

The tourist got away with the bicycle which cost the shopowner Rs. 300 and the Rs. 50 'change', and therefore he made off with Rs. 350. And this is the exact amount of the shopkeeper's loss.

The tourist got away with the bicycle which cost the shopowner Rs. 300 and the Rs. 50 'change', and therefore he made off with Rs. 350. And this is the exact amount of the shopkeeper's loss.

See also:

• The Banker And The Counterfeit Bill (Difficulty: 3)

• Name Their Wives (Difficulty: 4)

• Around The Equator (Difficulty: 2)

• A Matter Of Time (Difficulty: 1)

• Equal Distances (Difficulty: 3)