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Parul spent [tex]\frac{1}{4}[/tex] of her pocket money on food and another [tex]\frac{7}{10}[/tex] on stationery. If she started with 2500, how much of her pocket money is left?

Sagot :

Sure, let's break down the problem step-by-step to find out how much pocket money Parul has left.

1. Identify Initial Pocket Money:
Parul starts with an initial amount of 2500 units of currency.

2. Calculate the Amount Spent on Food:
Parul spends [tex]\(\frac{1}{4}\)[/tex] of her pocket money on food. Hence, the amount spent on food can be calculated as:
[tex]\[ \text{Amount spent on food} = \frac{1}{4} \times 2500 = 625 \][/tex]

3. Calculate the Amount Spent on Stationery:
Parul spends [tex]\(\frac{7}{10}\)[/tex] of her pocket money on stationery. Hence, the amount spent on stationery can be calculated as:
[tex]\[ \text{Amount spent on stationery} = \frac{7}{10} \times 2500 = 1750 \][/tex]

4. Calculate Total Amount Spent:
The total amount of money Parul spends on both food and stationery can be found by adding the two amounts together:
[tex]\[ \text{Total Amount Spent} = 625 + 1750 = 2375 \][/tex]

5. Calculate the Remaining Pocket Money:
Finally, to find out how much of her pocket money is left, we subtract the total amount spent from the initial amount:
[tex]\[ \text{Remaining Money} = 2500 - 2375 = 125 \][/tex]

Hence, Parul has 125 units of currency left after spending on food and stationery.