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?

Question

Philoid · Accepted 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