[7] A merchant had ` 78,592 with her. She placed an order for purchasing 40 radio sets at ` 1200 each. How much money will remain with her after the purchase?
- To calculate how much money will remain after purchasing 40 radio sets :
- Number of radio sets purchased = 40
Cost of each radio set = ₹1200 - Total cost of the radio sets = Number of radio × Cost of each radio set
- Total cost of the radio sets = 40 × ₹1200 = ₹48,000
- Remaining amount of money = Initial amount of money – Total cost of the radio sets
- Remaining amount of money = ₹78,592 – ₹48,000
- Remaining amount of money = ₹30,592
- Therefore, the merchant will have ₹30,592 remaining after purchasing 40 radio sets.
[8] A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the
multiplications?)
- To know the student’s incorrect answer compared to the correct answer, we only need to calculate the difference between the incorrect product and the correct product.
- Let’s calculate both products:
- Incorrect product: 7236 multiplied by 65
Correct product: 7236 multiplied by 56 - We will subtract the correct product from the incorrect product to find the difference:
- Incorrect product – Correct product
- (7236 × 65) – (7236 × 56)
- Calculating this:
- 472,140 – 405,216
- = 66,924
- Therefore, the student’s answer was greater than the correct answer by 66,924.
[9] To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?
- To know the number of shirts that can be stitched and the remaining cloth, we need to divide the total cloth by the cloth of 1 shirt.
- Cloth required to stitch one shirt = 2 meters 15 centimeters
- Total cloth available = 40 meters
- Since the total cloth is given in meters, we convert 2 meters 15 centimeters to meters.
- 2 meters 15 centimeters = 2 meters + 0.15 meters (1 meter = 100 centimeters)
- 2 meters 15 centimeters = 2.15 meters
- Now, we can find the number of shirts that can be stitched and the remaining cloth:
- Number of shirts = Total cloth available / Cloth required to stitch one shirt
- Number of shirts = 40 meters / 2.15 meters
- Number of shirts ≈ 18.60 (rounded down to the nearest whole number)
- Therefore, 18 shirts can be stitched using the cloth.
- Remaining cloth = Total cloth available – (Cloth required to stitch one shirt × Number of shirts)
- Remaining cloth = 40 meters – (2.15 meters × 18)
- Remaining cloth ≈ 40 meters – 38.70 meters
- Remaining cloth ≈ 1.30 meters
- Thus, after stitching 18 shirts, approximately 1.30 meters of cloth will remain.
[10] Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?
- To calculate the number of boxes ,we need to know how many boxes with a weight of 4 kg 500g can loaded in a van which is 800 kg.
- Since 1 kilogram = 1000 grams,
- Now we can calculate the weight of each box in kilograms:
- 4 kg + 0.5 kg = 4.5 kilograms
- To know the number of boxes that can fit within the van’s weight capacity, we divide the maximum weight capacity of the van by the weight of each box:
- 800 kg / 4.5 kg ≈ 177.78
- Therefore, the van can carry a maximum of 177 boxes.
[11] The distance between the school and a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days.
- The distance between the school and the student’s house is 1 km 875 m. Since she walks both ways, we need to calculate the round trip distance.
- Round trip distance = 2 * Distance between school and house
- We know 1 km = 1,000 m
- Now we can calculate the total round trip distance:
- Round trip distance = 2 * (1 km + 875 m)
= 2 * (1,000 m + 875 m)
= 2 * 1,875 m
= 3,750 m - In six days, the total distance covered by her = Total distance in six days = 6 * Round trip distance
= 6 * 3,750 m - = 22,500 m
- Therefore, she covers a total distance of 22,500 meters in six days.
[12] A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
- To find out qty of glasses, we need to convert vessel capacity in milliliters and then divide it by glass capacity.
- convert the volume of curd to milliliters: (since 1 litre = 1,000 ml)
- 4 litres = 4,000 ml + 500 ml (given)
- Total volume of curd = 4,000 ml + 500 ml = = 4,500 ml
- Next, divide the total volume of curd by the capacity of glass:
- Number of glasses = Total volume of curd / Capacity of each glass
= 4,500 ml / 25 ml = 180 - Therefore, the vessel can be filled with 180 glasses, each with a capacity of 25 ml.
