Robert Bosch Ratio & Proportion Quiz 4

Answer: a.
Explanation:
Let the cost price of one Towel = X Rs., the cost price of one Dusting Clothes = Y Rs.
According to the question,
2X + 3Y = 2200 ....1
2Y + 4X = 2400
2X + Y = 1200 ....2
After solving these 2 equation,
X = 350 Rs. , Y = 500 Rs.
Ratio = 500 : 350 = 10 : 7

Answer: c.
Explanation:
Salary ratio of Bruce : Thomas = 5 : 7 and Thomas : John = 3 : 5
So Bruce : Thomas : John = 15 : 21 : 35 and Bruce : John = 3 : 7

Salary (Bruce) = 165,000
So, salary of (John),
=\frac{7}{3}\times 165000 = 385000 Rs

John spends 28.56% on rent => John spends 2/7 on rent
So, the remaining will be 5/7 of salary.
=\frac{5}{7}\times 385000 = 275000 Rs

Answer: a.
Explanation:
Income = Expenditure + Saving
Matt : 12x = 15y + 3x (3x = 25% of 12x)
Dillon: 9x = 9y + (9x – 9y)
Aron: 7x = 8y + (7x – 8y)
Therefore, 12x – 3x = 15y
x/y = 5/3
y = 3x/5
Therefore, savings = (income – expenditure)
Matt = 12x – 9x = 3x

Dillon = 9x – 9y,
=9x-\frac{27}{5}x=\frac{18}{5}x
Aron = 7x – 8y,
=7x-\frac{24}{5}x=\frac{11}{5}x

i.e., the ratio of savings of Matt : Dillon : Aron
=3x:\frac{18}{5}x:\frac{11}{5}x
= 15 : 18 : 11

Answer: a.
Explanation:
The ratio in the distributed amount of Mathew, Clay and Paul = 8 : 5 : 7
Let the Ratio of money distributed among Mathew, Clay and Paul = 8x : 5x : 7x
Ratio of Clay and Paul = 5x + 7x = 12x
Difference between the ratio of Mathew and Clay = 12x – 8x = 4x
According to question, 4x = 1000 ⇒ 1x = 250
Then share of Mathew = 8x = 250 × 8 = 2000
Share of Paul = 7x = 250 × 7 = 1750
Difference between shares of Mathew and Paul = 2000 – 1750 = 250 Rs

Answer: c.
Explanation:
Given, water-mixed milk in the barrel = 65 litres , Ratio between milk and water = 10 : 3
Let A litres of water is to be mixed to get the ratio between milk and water as 8 : 5
Initially milk in the solution = (10 / 13) × 65 litres = 50 litres
Initially water in the solution = (3 / 13) × 65 litres = 15 litres
After adding A litres of water ratio between milk and water = 50/(15 + A)
⇒ 8 / 5 = 50 / (15 + A) ⇒ 8 (15 + A) = 5 × 50
⇒ 120 + 8A = 250
⇒ 8A = 130 ⇒ A = 130/8 litres ⇒ A= 16\frac{1}{4}Litres

Answer: b.
Explanation : Let the 25 paise coins be 'x'
Therefore, 1 Rs coins = 3x
50 paise coins = 220 – x – (3x) = 220 – (4x)
Acc. to the given question,
3x + [(220 – 4x)/2] + x/4 =160
⇒ (12x + 440 – 8x + x)/4 = 160 ⇒ 5x + 440 = 640
⇒ 5x = 200 ⇒ x = 40
Now, 50 paise coins = 220 – (4x) = 220 – (4 × 40) = 60
∴ The number of 50 paise coin is 60.

Answer: c.
Explanation:
Given, alcohol-mixed wine in the barrel = 65 litres , Ratio between alcohol and wine = 10 : 3
Let, ‘A’ litres of alcohol is to be mixed to get the ratio between wine and alcohol as 8 : 5
Now,wine in the solution = (10 / 13) × 65 litres = 50 litres
Alcohol in the solution = (3 / 13) × 65 litres = 15 litres
After adding A litres of alcohol ratio between wine and alcohol = 50/(15 + A)
⇒ 8 / 5 = 50 / (15 + A) ⇒ 8 (15 + A) = 5 × 50
⇒ 120 + 8A = 250
⇒ 8A = 130 ⇒ A = 130/8 litres ⇒ A= 16\frac{1}{4}Litres

Answer: a.
Explanation:
Given, Total Money = Rs 750 , Ayesha : Bella = 5 : 2
Bella : Sherry = 7 : 13
Ayesha : Bella : Sherry = 5 × 7 : 2 × 7 : 2 × 13 = 35 : 14 : 26
Total Sum = Rs 750
⇒ 35 x + 14 x + 26 x = 750 ⇒ x = 10
So, Ayesha's share = 35 × 10 = Rs 350

Answer: c.
Explanation:
Let Ryan= 2X, Harry= 3X and Hugh = 5X.
Ryan’s new salary = 115 / 100 of 2X,
(\frac{115}{100}\times 2X)=\frac{23X}{10}
Harry's new salary = 110 / 100 of 3X,
(\frac{110}{100}\times 3X)=\frac{33X}{10}
Hugh's new salary = 120 / 100 of 5X,
(\frac{120}{100}\times 5X)=6X
NewRatio=(\frac{23X}{10}:\frac{33X}{10}:6X) = 23:33:60

Answer: c.
Explanation:
Let the investment of Jack be ₹ A, that of Will be ₹ B and that of Eric be ₹ C respectively.
Then, 12A : 9B : 6C = 7 : 8 : 9 or or,\frac{12A}{9B}=\frac{7}{8}
∴ 32A = 21B , \frac{21}{32}B
And,\frac{9B}{6C}=\frac{8}{9}
∴ 27B = 16C , \frac{27}{16}B
So, A:B:C=\frac{21}{32}C:C:\frac{27}{16}B=21:32:54