Word Problem: Decimals

Q1: Reena purchased a notebook worth ₹6.50 and a pen worth ₹3.25. How much did she spend in all?
Sol: Arrange the amounts in proper columns.
Add as ordinary numbers.
Place the decimal point to separate rupees from paise.

Hence, Reena spent ₹9.75 in all.

Q2:  Rahul carried ₹8.75 to a shop. He bought a chocolate worth ₹2.50. How much money did he take back home?

Sol: Arrange the amounts in proper columns.
Subtract as ordinary numbers.
Place the decimal point to separate rupees from paise.

Hence, the amount that Rahul took back home is ₹6.25.

Q3: Mary has ₹2. She spends ₹0.5 on a toy. How much money does she have left?

Sol: Initial amount = ₹2.00.
Amount spent = ₹0.50.
Remaining money = 2.00 - 0.50 = 1.50.
Answer: Mary has ₹1.50 left.

Q4:  Maria and Vanessa are neighbours, and every week they go grocery shopping together. Last wee,k Maria spent ₨ 45.75, exactly 3 times more than Vanessa spent. How much money did Vanessa spend?
Sol: 
Let Vanessa's spending be ₹X.
Then 45.75 = 3 × X.
X = 45.75 ÷ 3 = 15.25.
Answer: Vanessa spent ₹15.25.

Q5: Tim saves 10% of his weekly pocket money, which is ₹5. How much money does Tim save each week?
Sol: 
To calculate 10% of a number, divide the number by 10.
10% of ₹5 = (10/100) × ₹5 = ₹0.50.
Therefore, Tim saves ₹0.50 each week.

Q6: A pizza is divided into 8 equal slices. If you eat 0.25 of the pizza, how many slices did you eat?
Sol: 
Total slices you ate = Fraction of pizza eaten × Total number of slices.
Total slices you ate = 0.25 × 8 = 2.
Therefore, you ate 2 slices of the pizza.

Q7: In a game, you score 0.3 points for each correct answer. If you answered 5 questions correctly, how many points did you score?
Sol: 
Total points = Number of correct answers × Points for each correct answer.
Total points = 5 × 0.3 = 1.5.
Therefore, you scored 1.5 points in the game.

Q8: James has a rectangular box. The length of the box is 25.78 cm and its width is 7.16 cm less than its length. What is the area of the rectangle?
Sol: 
Length = 25.78 cm.
Width = 25.78 - 7.16 = 18.62 cm.
Area of a rectangle = Length × Width.
Area = 25.78 × 18.62 = 480.0236 cm².
Hence, the final answer is 480.0236 cm².
Q9: Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?
Sol: 
Total possible marks - Aaron's score = Marks lost.
Marks lost = 600 - 452.65 = 147.35.
Therefore, Aaron lost 147.35 marks in the final examination.
Q10: The price of a t-shirt was ₹250.45. John paid with ₹300. How much change did John get?Sol: 
Amount paid - Price of the t-shirt = Change.
Change = ₹300 - ₹250.45 = ₹49.55.
Therefore, John received ₹49.55 in change.

Q11: Compare the numbers. Add: > or < or =
75.8 ____ 0.09
Sol:
75.8 > 0.09.

Q12: Kavita travelled 267.97 km, and Sheena travelled 862.73 km using their own cars. Who travelled the most and by how much? 
Sol:
Distance Sheena travelled = 862.73 km.
Distance Kavita travelled = 267.97 km.
Difference = 862.73 - 267.97 = 594.76 km.
Sheena travelled the most, by 594.76 km.

Q13: A pack of crayons costs ₹80.5. Jake gave the cashier ₹100. How much change did Jake receive?
Sol:  
Amount paid - Cost of the crayons = Change.
Change = ₹100 - ₹80.50 = ₹19.50.
Therefore, Jake received ₹19.50 in change.

Q14: Compare the numbers. Add: > or < or =
0.03 ____ 0.5
Sol: 
0.03  < 0.50.

Q15: In a well filled with water, 184.5 litres are removed, followed by 128.75 litres and finally 84.5 litres. After these withdrawals, there are 160 litres in the well. How much water did the well originally have?
Sol:
Let the original amount be x litres.
x - 184.5 - 128.75 - 84.5 = 160.
x = 184.5 + 128.75 + 84.5 + 160 = 557.75 litres.
Therefore, the well originally had 557.75 litres of water.

Q16: The cost of a book was ₹150.00. Sarah paid with a ₹200.00 note. How much change did Sarah receive?
Sol: 
Amount paid - Cost of the book = Change.
Change = ₹200.00 - ₹150.00 = ₹50.00.
Therefore, Sarah received ₹50.00 in change.