Ratio & Proportion

Q. There are 90 litres castrol and 150 litres CRB mobil oils. The price of castrol is Rs. 80 per litre and price of CRB is Rs. 75 per litre. Equal amount of castrol and CRB is taken out and then CRB is poured out in the vessel of castrol and castrol is poured out in the vessel of CRB. Now the ratio of both the mixtures is same. What is the amount of mobil oil taken out from each of the vessel?

1. 36 litres
2. 24.5 litres
3. 45 litres
4. 56.25 litres

Q. Akbar and Birbal who purchased the shares for the cost of their basic salaries which are in the ratio of 5: 6. Later on company gave them 40 additional shares to each, due to which the ratio changed to 7 : 8. If the worth of each share is Rs. 75, what is the basic salary of the person who got less shares?

1. Rs. 10500
2. Rs. 7500
3. Rs. 9000
4. Rs. 8800

Q. A dishonest milkman mixed 1 litre of water for every 3 litres of milk and thus made up 36 litres of milk. If he now adds 15 litres of milk to the mixture, find the ratio of milk and water in the new mixture.

1. 12 : 5
2. 9 : 4
3. 7 : 2
4. 14 : 3

Q. If $m=\frac{4pq}{p+q}$, then the value of $\frac{m+2p}{m-2p}+\frac{m+2q}{m-2q}$:

1. 2
2. 4
3. $\frac{2mpq}{(p+q)}$
4. None of these

Q. If a:b = c:d, and e:f = g:h, then (ae+bf):(ae-bf)=?

1. $\frac{(e+f)}{(e-f)}$
   
2. $\frac{(cg+dh)}{(cg-dh)}$
   
3. $\frac{(cg-dh)}{(cg+dh)}$
   
4. $\frac{e-f}{e+f}$

Q. There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 percent of platinum and the second alloy 26 percent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 percent of gold. How many kilograms of platinum is there in the new alloy?

1. 170 kg
2. 175 kg
3. 160 kg
4. 165 kg

Q. Three persons Amar, Akbar and Anthony agree to pay their hotel bills in the ratio of 3:4:5. Amar pays the first day's bill which amounts to Rs. 26.65, Akbar pays the second days bill which amounts to Rs. 42.75 and C pay the third day's bill which amounts to Rs. 53.00. When they settle their accounts, which of the following happens?

1. Amar gives Rs. 3 to C
2. Akbar gives Rs. 2 to Amar
3. Amar gives Akbar Rs. 1.95 and Rs. 2 to Anthony
4. None of the above

Q. If $(a+b):(b+c):(c+a)=5:6:9$ and $a+b+c=10$. What is the value of c?

1. 2
2. 3
3. 5
4. 7

Q. a : b = 4 : 9. If 4 is added to both of the numbers then the new ratio becomes 21 : 46. What is the difference between a and b?

1. 125
2. 80
3. 130
4. 100

Q. Rs 2250 is divided among three friends Amar, Bijoy and Chandra in such a way that $\frac{1}{6}th$ of Amar's share, $\frac{1}{4}th$ of Bijoy's share and $\frac{2}{5}th$ of Chandra's share are equal. Find Amar's share.

1. Rs 720
2. Rs 1080
3. Rs 450
4. Rs 1240