Decimals

I. The signboard provided alongside shows the costs for various articles available at the Hamburg Bakery shop. Sanya comes here to buy bakery items for her friends who would be visiting her home tonight. She prepares a list of all the items that she has to buy — 4 pineapple pastries, 5 patties, 2 doughnuts and a box of cookies. Each pineapple pastry costs ₹25.50, each patty costs ₹12.25, each doughnut costs ₹21.75 and the box of cookies costs ₹79.50 Sanya’s father gave her a 500 rupee note.

Q1: What will be the bakery bill for Sanya?

Items and Prices:
→ 4 pineapple pastries at ₹25.50 each
→ 5 patties at ₹12.25 each
→ 2 doughnuts at ₹21.75 each
→ 1 box of cookies at ₹79.50
Step-by-Step Calculation:
Cost of 4 pineapple pastries = 4 × ₹25.50 = ₹102.00
Cost of 5 patties = 5 × ₹12.25 = ₹61.25
Cost of 2 doughnuts = 2 × ₹21.75 = ₹43.50
Cost of 1 box of cookies = ₹79.50
Total bill = ₹102.00 + ₹61.25 + ₹43.50 + ₹79.50 = ₹286.25
Answer: b. ₹286.25

Q2: When Sanya gives the 500 rupee note to the bakery owner, what amount will she get in return after paying the bill?

Total Bill: ₹286.25
Amount given by Sanya: ₹500.00
Amount to be returned:
Amount to be returned = ₹500.00 – ₹286.25 = ₹213.75
Answer: d. ₹213.75

Q3: On the way back Sanya bought 6 pens, each costing ₹17.75. How much did she spend on pens?

Cost of 1 pen: ₹17.75
Number of pens: 6
Step-by-Step Calculation:
Total cost of pens = 6 × ₹17.75 = ₹106.50
Answer: a. ₹106.50

Q4: She returned all the money left with her to her father. How much did she return?

Total amount given by Sanya: ₹500.00
Total spent on bakery items: ₹286.25
Total spent on pens: ₹106.50
Total spent:
Total spent = ₹286.25 + ₹106.50 = ₹392.75
Amount left = ₹500.00 – ₹392.75 = ₹107.25
Answer: d. ₹107.25

II. There is a 0.37 km long jogging track in Laleh park. Shruti lives 0.42 km away from the track. Every morning Shruti goes jogging to Laleh park. She usually starts jogging from home and after reaching the park, goes jogging 8 times around the track. She then returns home by a friend’s car.

Q1: How much distance does she jog every morning?

Step-by-step:
From home to park = 0.42 km
8 rounds of jogging = 8 × 0.37 = 2.96 km
She returns home by car, so only onward journey is counted.
Total jogging = 0.42 + 2.96 = 3.38 km
Answer: b. 3.38 km

Q2: How many rounds of the track make a distance of 4.44 km?

Step-by-step:
One round = 0.37 km
Number of rounds = 4.44 ÷ 0.37 = 12
Answer: d. 12

Q3: On a particular day, she began jogging from her home and completed 10 rounds of the track. How much did she jog on that day?

Step-by-step:
From home to park = 0.42 km
10 rounds of jogging = 10 × 0.37 = 3.70 km
Returns home by car.
Total jogging = 0.42 + 3.70 = 4.12 km
Answer: b. 4.12 km

Q4: One day her friend could not come. So, she had to jog back home after completing 8 rounds of the track. How much did she jog on that day?

Step-by-step:
From home to park = 0.42 km
8 rounds = 8 × 0.37 = 2.96 km
Back home = 0.42 km
Total jogging = 0.42 + 2.96 + 0.42 = 3.80 km
Answer: a. 3.80 km