Two casks contain mixtures of petrol (P) and kerosene (K). in the first cask P:K=7:3 and in the second cask P:K= 3:1. in what ratio should the mixtures from the two casks be taken to give a mixture in which P:K is 11:4?

2:3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2:2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1:2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1:3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
2:2

Using alligation, we can directly solve this question

Take either petrol or kerosene.

Petrol in cask 1 = $\frac{7}{10}$

Petrol in cask 2 = $\frac{3}{4}$

Petrol in mixture = $\frac{11}{15}$

Ratio to take the mixture $= \frac{1}{60} : \frac{1}{30} = 1 : 2$

Suggest Corrections

Similar questions

Q. Two casks

A

and

B

were filled with two kinds of sherry, mixed in the cask

A

in the ratio of

2 : 7

, and in the cask

B

in the ratio of

1 : 5

. What quantity must be taken from each to form a mixture which shall consist of

2

gallons of one kind and

9

gallons of the other?

Q. Two vessels contain a mixture of spirit and water. In the first vessel the ratio of spirit to water is 8:3 and in the second vessel, the ratio is 5:1. A 35 litre cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio of 4:1. How many litres are taken from the first vessel?

Q. Nine gallons are drawn from a cask full of wine; it is then filled with water, then nine gallons of the mixture are drawn, and the cask is again filled with water. If the quantity of wine now in the cask be to the quantity of water in it as

16

9

, how much does the cask hold?

9L of water is drawn from a cask which was initially full and is then filled with milk. 9L of the present mixture is again taken out and the cask is again filled with milk. The ratio of the quantity of water now left in the cask to that of the milk is 16 $:$ 9. What is the capacity of the cask?

Q. A cask contains 3parts ale and 1 part porter. How much of the mixture must be drawn off and porter substituted in order that the resulting mixture may be half and half?

Join BYJU'S Learning Program

Two casks contain mixtures of petrol (P) and kerosene (K). in the first cask P:K=7:3 and in the second cask P:K= 3:1. in what ratio should the mixtures from the two casks be taken to give a mixture in which P:K is 11:4?

The correct option is B 2:2 Using alligation, we can directly solve this question Take either petrol or kerosene. Petrol in cask 1 =710 Petrol in cask 2 =34 Petrol in mixture =1115 Ratio to take the mixture =160:130=1:2

The correct option is B
2:2

Using alligation, we can directly solve this question

Take either petrol or kerosene.

Petrol in cask 1 = $\frac{7}{10}$

Petrol in cask 2 = $\frac{3}{4}$

Petrol in mixture = $\frac{11}{15}$

Ratio to take the mixture $= \frac{1}{60} : \frac{1}{30} = 1 : 2$