Question

A container contains 120 litres of petrol. From this container, 20 litres of petrol was taken out and replaced by 40 litre kerosene. Then 40 litres of petrol mixture was taken out and replaced by 60 litre kerosene. Find the ratio of petrol and kerosene now in the container.

1 25 ∶ 31

2 26 : 25

3 19 : 27

4 17 : 24

Answer 1

Answer:

Step-by-step explanation:

120-20=100+40=140-40=100+160=160 litres

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

A container contains 120 litres of petrol. From this container, 20 litres of petrol was taken out and replaced by 40 litre kerosene. Then 40 litres of petrol mixture was taken out and replaced by 60 litre kerosene. Find the ratio of petrol and kerosene now in the container.

1. 25 ∶ 31

2. 26 : 25

3. 19 : 27

4. 17 : 24

EVALUATION

Initially the container contains 120 litres of petrol

From this container, 20 litres of petrol was taken out and replaced by 40 litre kerosene.

Now ,

Amount of petrol = 120 - 20 = 100 litres

Amount of kerosene = 40 litres

Mixture amount = 100 + 40 = 140 litres

Ratio of petrol and kerosene

= 100 : 40

= 5 : 2

Noe 40 litres of petrol mixture was taken out and replaced by 60 litre kerosene.

In 40 litres of petrol mixture

$\displaystyle \sf{ Petrol = 40 \times \frac{5}{7} = \frac{200}{7} \: litres }$

$\displaystyle \sf{ Kerosene = 40 \times \frac{2}{7} = \frac{80}{7} \: litres }$

So lastly ,

Amount of petrol

$\displaystyle \sf{ = 100 - \frac{200}{7} \: litres }$

$\displaystyle \sf{ = \frac{700 - 200}{7} \: litres }$

$\displaystyle \sf{ = \frac{500}{7} \: litres }$

Amount of kerosene

$\displaystyle \sf{ = 60 +40 - \frac{80}{7} \: litres }$

$\displaystyle \sf{ = 100 - \frac{80}{7} \: litres }$

$\displaystyle \sf{ = \frac{700 - 80}{7} \: litres }$

$\displaystyle \sf{ = \frac{620}{7} \: litres }$

Hence the required ratio

$\displaystyle \sf{ = \frac{500}{7} : \frac{620}{7} }$

$\displaystyle \sf{ = 500 : 620 }$

$\displaystyle \sf{ = 25 : 31 }$

FINAL ANSWER

Hence the correct option is 1. 25 ∶ 31

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If 4 : 3 = y : 9 then y = ?

https://brainly.in/question/39267349

2. What will be the ratio of 20 rupees to 5 rupees?

https://brainly.in/question/37944893