(B) In the first cask ($48$ $litres$): Wine $= \frac{13}{20} \times 48 = 31.2$ $litres$,Water $= \frac{7}{20} \times 48 = 16.8$ $litres$.In the second

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) In the first cask ($48$ $litres$): Wine $= \frac{13}{20} \times 48 = 31.2$ $litres$,Water $= \frac{7}{20} \times 48 = 16.8$ $litres$.In the second cask ($42$ $litres$): Wine $= \frac{18}{35} \times 42 = 21.6$ $litres$,Water $= \frac{17}{35} \times 42 = 20.4$ $litres$.Total wine $= 31.2 + 21.6 = 52.8$ $litres$.Total water $= 16.8 + 20.4 = 37.2$ $litres$.After adding $20$ $litres$ of water,total water $= 37.2 + 20 = 57.2$ $litres$.The ratio of wine to water $= 52.8 : 57.2 = 528 : 572$.Dividing both by $44$,we get $12 : 13$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Difficult

Two casks of $48$ $litres$ and $42$ $litres$ are filled with mixtures of wine and water,the proportions in the two casks being respectively $13:7$ and $18:17$. If the contents of the two casks are mixed,and $20$ $litres$ of water is added to the whole,what will be the proportion of wine to water in the resultant mixture?

A
$13:12$
B
$12:13$
C
$21:31$
D
$31:21$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Mixture and Alligation

Subtopic

Mixture and Alligation

$I$ have $100$ books of English. $I$ sold some of these at a profit of $12 \%$ and the rest at $8 \%$ loss. On the whole,$I$ got a profit of $11 \%$. How many books were sold at $12 \%$ profit by me?

Medium

View Solution

Mira's expenditure and savings are in the ratio $3: 2$. Her income increases by $10 \%$. Her expenditure also increases by $12 \%$. By how many $\%$ does her saving increase?

Medium

View Solution

There are $65$ students in a class. $39$ rupees are distributed among them so that each boy gets $80$ Paise and each girl gets $30$ Paise. Find the number of boys and girls in that class.

Difficult

View Solution

$A$ sum of ₹ $64$ is made up of $80$ coins which are either $100$ $paise$ or $50$ $paise$ coins. How many coins are of $50$ $paise$?

Difficult

View Solution

The ratio of alcohol and water in $40$ $litres$ of mixture is $5:3$. Then $8$ $litres$ of the mixture is removed and replaced with water. Now,the ratio of the alcohol and water in the resultant mixture is

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$I$ have $100$ books of English. $I$ sold some of these at a profit of $12 \%$ and the rest at $8 \%$ loss. On the whole,$I$ got a profit of $11 \%$. How many books were sold at $12 \%$ profit by me?

Mira's expenditure and savings are in the ratio $3: 2$. Her income increases by $10 \%$. Her expenditure also increases by $12 \%$. By how many $\%$ does her saving increase?

There are $65$ students in a class. $39$ rupees are distributed among them so that each boy gets $80$ Paise and each girl gets $30$ Paise. Find the number of boys and girls in that class.

$A$ sum of ₹ $64$ is made up of $80$ coins which are either $100$ $paise$ or $50$ $paise$ coins. How many coins are of $50$ $paise$?

The ratio of alcohol and water in $40$ $litres$ of mixture is $5:3$. Then $8$ $litres$ of the mixture is removed and replaced with water. Now,the ratio of the alcohol and water in the resultant mixture is

Vedclass Test Series

Exam Paper Generator

Online Exam Module