Question

An oil container contains 15 litres of oil. 3/5 of the oil was sold from the container and the remaining oil was consumed by the seller. (i) How much oil did the seller sell? (ii) How much oil did he consume? (iii) What fraction of the total quantity of the oil did the seller consume?

Answer 1

Answer:

$\bigstar{\bold{Oil\:sold\:=9\:L}}$

$\bigstar{\bold{Oil\:consumed\:=\:6\:L}}$

$\bigstar{\bold{Fraction\:of\:oil\:consumed\:=\:\dfrac{2}{5} }}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Capacity of total oil = 15 L
• Capacity of oil sold = 3/5 L of total oil

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Capacity of oil sold
• Capacity of oil consumed
• Fraction of the oil seller consumed

$\Large{\underline{\underline{\bf{Solution:}}}}$

Capacity of oil sold:

→ Capacity of oil sold = 3/5 L of total oil

   Capacity of oil sold = (3/5) × 15

   Capacity of oil sold = 9 L

$\boxed{\bold{Oil\:sold\:=9\:L}}$

Capacity of oil consumed:

→ Capacity of oil consumed = Total oil - Sold oil

   Capacity of oil consumed = 15 - 9

   Capacity of oil consumed = 6 L

$\boxed{\bold{Oil\:consumed\:=\:6\:L}}$

Fraction of oil seller consumed:

→ Fraction of oil consumed = 1 - Fraction of oil sold

  Fraction of oil consumed = 1 - 3/5

  Fraction of oil consumed = 2/5

$\boxed{\bold{Fraction\:of\:oil\:consumed\:=\:\dfrac{2}{5} }}$

Answer 2

$\mathfrak{\huge{\orange{\underline{Question:-}}}}$

An oil container contains 15 litres of oil. 3/5 of the oil was sold from the container and the remaining oil was consumed by the seller.

I) How much oil did the seller sell?

II) How much oil did he consume?

III) What fraction of the total quantity of the oil did the seller consume?

$\mathfrak{\huge{\orange{\underline{Given:-}}}}$

Total oil stored in the container = 15 litres

Oil sold from the container = 3/5

$\mathfrak{\huge{\orange{\underline{To \: Find:-}}}}$

The total capacity of oil he sold.

The total capacity of oil consumed by the seller.

The fraction of the total quantity of the oil did the seller consume.

$\mathfrak{\huge{\orange{\underline{Solution:-}}}}$

$\large{\underline{\rm{\green{\bf{Solution \: 1:-}}}}}$

Oil sold by the seller = Total capacity of oil × Fraction of the oil sold

Oil sold by the seller = $\sf 15 \times \dfrac{3}{5}$

$\implies \sf \underline{\underline{9 \: litres}}$

Therefore, 9 litres of oil are sold by the seller.

$\large{\underline{\rm{\green{\bf{Solution \: 2:-}}}}}$

Oil consumed = Total capacity of oil − Oil sold

Oil consumed = 15 − 9

$\implies \sf \underline{\underline{6 \: litre}}$

Therefore, 6 litres of oil are consumed.

$\large{\underline{\rm{\green{\bf{Solution \: 3:-}}}}}$

Fraction of oil consumed = Whole − Fraction of oil sold

Fraction of oil consumed = $\sf \dfrac{5}{5}-\dfrac{3}{5}$

$\implies \sf \underline{\underline{\dfrac{2}{5} \: litre}}$

Therefore, fraction of oil consumed by the seller is $\sf \dfrac{2}{5}$ litres.