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E-MathNumbers & RatioMedium

Numbers, Ratio & Proportion

3 generated numbers & ratio questions from the PrecisionMaths E-Math bank, each with a full worked solution.

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  1. Mrs Tan exchanges SGD 2500 for Malaysian ringgit at 1 SGD = 3.00 MYR. He spends MYR 3000 on accommodation and food, and buys 100 litres of fuel at MYR 2.40 per litre. He exchanges the remaining MYR back at 1 SGD = 3.10 MYR and receives SGD 80. (a) Calculate the MYR remaining before he converted back. [2] (b) Show, with working, whether he has enough to cover the return trip (assume same fuel needs). [2] (c) A bank offers the conversion at 1 SGD = 2.95 MYR but charges a 1.5% conversion fee. Compare this against the original rate and justify which is better. [3]
  2. A home appliance shop buys a air fryer at a cost price. The shopkeeper marks up the cost price by 50% and lists it at a marked price of 1200.Duringasale,theairfryerissoldata30(a)Findthemarkedpriceoftheairfryer.[Alreadygivenas1200. During a sale, the air fryer is sold at a 30% discount on the marked price, and the shopkeeper still makes a profit of 5% on the cost price. (a) Find the marked price of the air fryer. [Already given as 1200; verify by computation.] [1] (b) Find the selling price after the discount. [1] (c) Find the original cost price of the air fryer. [2]
  3. Mdm Noor invests a principal of $10000 with OCBC at 4% per annum compounded yearly for 5 years. (a) Write down the formula for the total amount A after n years in terms of P and r. [1] (b) Calculate the total amount in the account after 5 years, giving your answer correct to the nearest cent. [3]

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