A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. Ho

Sail E0 Webinar

Question

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Options:

A . 1 3

B . 1 4

C . 1 5

D . 1 7

Answer: Option C

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.

Quantity of water in new mixture =

3 -
3x
+ x

litres
8

Quantity of syrup in new mixture =

5 -
5x

litres
8

3 -
3x
+ x

=

5 -
5x

8
8

5x + 24 = 40 - 5x

10x = 16

x =
8
.
5

So, part of the mixture replaced =

8
x
1

=
1
.
5
8
5

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can i....litres of liquid A was contained by the can initially?

Question 2. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is wor....the price of the third variety per kg will be:

Question 3. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How muc....the ratio of water to milk is 3 : 5?

Question 4. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mix....so as to get a mixture worth Rs. 16.50 kg?

Question 5. In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk ....would be the percentage of milk in the mixture formed?

Question 6. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk ....become 6 : 5. Find the capacity of the can?

Question 7. A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so....the mixture so that the mixture contains 12 1/2% water?

Question 8. In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per ....kg to obtain a mixture costing Rs. 7.50 per kg?

Question 9. All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water....What was the initial quantity of water in container A?

Question 10. Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres f....ratio of alcohol and water in the resulting mixture is?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0