1.

Gunpowder contains 75% nitre and 10% sulphur. Find the amount of gunpowder which carries 9 kg nitre. What amount of gunpowder would contain 2.5 kg sulphur?

Answer»

Let the amount of gunpowder which carries 9 kg nitre = Z 

∴ 75% of Z = 9 kg 

⇒ Z × 75/100 = 9 

⇒ Z = 9 × 100/75 

⇒ Z = 9 × 4/3 

⇒ Z = 12 kg 

Now, 

Let the amount of gunpowder which carries 2.5 kg sulphur = K 

∴ 10% of K = 2.5 kg 

⇒ K × 10/100 = 2.5 

⇒ K = 2.5 × 100/10 

⇒ K = 2.5 × 10 

⇒ K = 25 kg



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