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The price of a pen and a marker is in the ratio 4 ∶ 5. A shopkeeper bought some pens and markers by paying for them in the ratio 3 ∶ 2. If he bought 45 pens, how many markers did he buy?

The price of a pen and a marker is in the ratio 4 ∶ 5. A shopkeeper bought some pens and markers by paying for them in the ratio 3 ∶ 2. If he bought 45 pens, how many markers did he buy? Correct Answer 24

Let he buy ‘x’ markers

⇒ Ratio of pens and markers bought = 45 ∶ x

Now,

⇒ Total price paid = No. of items bought × Price of item

Also,

⇒ Compound ratio of two ratios (a ∶ b) and (c ∶ d) = (ac ∶ bd)

⇒ Ratio of price paid = Ratio of pens and markers bought × Ratio of prices of pen and marker

⇒ 3 ∶ 2 = (45 ∶ x) × (4 ∶ 5)

⇒ 3 ∶ 2 = 180 ∶ 5x

⇒ 3 ∶ 2 = 36 ∶ x

⇒ x = (2/3) × 36 = 24

∴ He bought 24 markers

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