[Solved] Emma buys a camping van for £23500 plus VAT at 20%. She pays a deposit for the camping van. She then pays the rest of the cost in 18 equal payments of £940 each month. Find the ratio of the deposit Emma pays to the total of the 18 equal payments. Give your answer in its simplest form.

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Concept used: This question involves several mathematical concepts, including: By applying these concepts, we can find the correct simplified ratio of the deposit Emma pays to the total of the 18 equal payments, which is 2:3. Emma buys a camping van for £23500 plus VAT at 20%. She pays a deposit for the camping van….

[Solved] Harry invests £6000 in a savings account. The account pays 3.4% compound interest per year. Work out the value of his investment after three years. Give your answer to the nearest penny.

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Harry invests £6000 in a savings account. The account pays 3.4% compound interest per year. Work out the value of his investment after three years. Give your answer to the nearest penny. Concept used The concept used in this question is compound interest, which is the interest earned on an investment that is reinvested rather…

[Solved] Sam weighs 51 kg. What is this weight to the nearest stone? Use the conversion 1kg = 2.2 pounds and 14 pounds = 1 stone

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According to the given question, Sam weighs 51 kg. We have to find the weight to the nearest stone, using the conversion 1kg = 2.2 pounds and 14 pounds = 1 stone. Concept used The concept used to solve this problem is unit conversion, which involves converting a quantity from one unit of measurement to…

[Solved] A plane ticket to Barcelona costs £175. The price decreases by 6%. Work out the new price of the plane ticket

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Step 1: Understanding the Problem This problem illustrates the concept of percentage decrease, which is a useful way to express reductions in quantities or values as a percentage of the original amount. This is a useful concept in a variety of fields, including finance, business, and economics. The problem here is asking for the new…

[Solved] A theatre ticket costs £63 plus a booking fee of 3%. What is the total price of the ticket?

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Step 1: Calculating the Booking Fee The booking fee is calculated as a percentage of the ticket’s cost. In this case, the booking fee is 3% of £63. To find the booking fee, you multiply the ticket cost by the booking fee rate: Booking Fee = Ticket Cost * Booking Fee Rate Booking Fee =…

[Solved] Ed buys a vase for £24 and adds 25% onto the price before putting it into his shop window. What price does the price-tag say in the window?

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Step 1: Understanding the Problem In this problem, Ed is buying a vase for £24 and he wants to sell it in his shop for a profit. To do this, he adds a 25% markup onto the original cost before putting the vase in his shop window. The task here is to find the price…

[Solved] The pie chart shows how 36 pupils travel to school. Use the pie chart to complete the table.

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According to the question, the pie chart shows how 36 pupils travel to school, we have to use the pie chart to complete the table. Bike Walk Travel to school Number of pupils Walk 9 120° Car Bus Bus Car Bike Total 36 Use the pie chart to complete the table Travel to school Number…

[Solved] A clothing store sells 300 skirts in January. If the number of skirts it sells in February is 40% higher, how many skirts will it sell in February?

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The problem states that a clothing store sells 300 skirts in January and asks how many skirts the store will sell in February if the number of skirts sold is 40% higher than in January. To solve this problem, we need to use the concept of percentage increase. The percentage increase measures how much a…

[Solved] A TV costs £800 plus VAT at 20%. What is the total cost of the TV?

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According to the question, A TV costs £800 plus VAT at 20%. We have to find the total cost of the TV. Concept used. The concept used in this question is calculating the total cost of a product that includes value-added tax (VAT). VAT is a type of consumption tax that is added to goods…

[Solved] Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each. Work out Sean’s percentage profit.

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Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each. Work out Sean’s percentage profit. Step 1 Concept used The concept used in this question is profit, the difference between money made from selling something and the amount spent on it. In this case, Sean made a profit of…