Answer:

We have from the question that Latha has bought a pen and a pencil with seven and a half rupees. We know that 1 rupee is 100 paisa. So half rupee will be 100÷2=50

paisa. If we write the price in numbers it will be 7 plus 50 paise, which is 7.50 rupees. Latha gave the shopkeeper 10 rupees. So the shopkeeper will return 10−7.50=2.50

rupees. So the shopkeeper returned Rs.2.50=2.50×100=250

paisa.The shopkeeper gave back the money inhalf rupee coins and quarter rupee coins. We know that a half rupee is 50 paisa. A quarter is one-fourth of a rupee. So one quarter is 100×14=25 paisa. We have to find how many coins of 50 paise and 25 paise are in 250 paise.

The multiples of 50 less than or equal to 250 are 50, 100, 150,200,250. The multiples of 25 less than 25 are 25,50,75,100,125,150,175,200,225,250. There have to be two types of coins in our selection. . If we select an odd number of 25 paisa coins we cannot add up the 50 paisa coins or half rupee coins to add up to 250. So we can take only an even number of 25 paisa or quarter rupee coins.

If there are 2 quarter rupee coins (2×.25=50)

then there are 250−5050=4

half rupee coins.

If there are 4 quarter rupee coins (4×0.25=100)

then there are 250−10050=3

half rupee coins.

If there are 6 quarter rupee coins (6×.25=150)

then there are 250−15050=2

half rupee coins.

If there are 8 quarter rupee coins (8×.25=200)

then there are 250−20050=1

half rupee coins.

So Latha got coins of 2 quarter rupee and 4 half rupees or 3 half rupees and 4quarter rupee or 2half rupee and 6 quarter rupee or 1 half rupee and 8 quarter rupee coin

Verified answer

Answer:

Latha received 5 half rupee coins and 10 quarter rupee coins as change from the shopkeeper. The shopkeeper can return coins in multiple ways, but the minimum number of coins he must return is 5 half rupee coins.