Ratio of Mixtures

Q. Chinmaya and Sam invested a total of ₹130000 in a business in the proportion 3:2 respectively. What amount did each of them invest? If their total profit was ₹36000 , what is the share of each?

Q.

The capacities of two bottles are in the ratio 5: 3. If the smaller bottle is emptied thrice and the larger bottle once into a vessel; and in another vessel, only the larger bottle is emptied twice then find the ratio of the liquids in both the vessels.

1. 5: 7

2. 7: 5

3. 2: 5

4. 9: 10

Q.

There are 3 apples, 4 mangoes and 1 watermelon available in a fruit shop. What is the ratio of apples to total fruits?

1. 3:8

2. 8:3

3. 3:5

4. 5:3

Q.

In a right angled triangle , the 2 smaller angles are in the ratio 1 : 5. Find the measure of the smallest angle

1. ${12}^{\circ }$

2. ${20}^{\circ }$

3. ${15}^{\circ }$

4. ${24}^{\circ }$

Q.

A food item contains flour and sugar. The ratio of flour and sugar is 7:5 and the total quantity of the food item is 48 kgs.

If the quantity of food item is doubled, find the amount of flour present in the overall food now.

1. 64 kg

2. 48 kg

3. 56 kg

4. 60 kg

Q.

Shubha and Shivani started a business. Shubha invested ₹15000 and Shivani invested ₹45000.

They made a profit of ₹ 6600 and they divided it in the ratio of their investments. How much did Shubha get?

1. ₹ 1850

2. ₹ 1650

3. ₹ 2200

4. ₹ 1800

Q.

Shyam has $16$ GK books and his friend Ratan has $20$ GK books. The ratio of Shyams GK book to those of Ratan is

1. $3:5$

2. $4:5$

3. $5:4$

4. $3:4$

Q.

Find the ratio of $5000\mathrm{cm}$ to $12\mathrm{m}$.

Q.

A line segment 49 m long is divided into 2 parts in the ratio 3:4. Find the length of each part

1. 18 m , 30 m

2. 21 m , 28 m

3. None of these

4. 20 m , 29 m

Q.

Two friends Harry and Larry who are very fond of Indian cuisine went to Hotel A for having lunch. Harry and Larry had 3 and 5 rotis respectively. For dinner, they went to Hotel B where the size of the roti was relatively small. Assuming that they have the same amount of hunger as before and Larry ate 10 rotis, how many rotis did Harry ate?

1. 6

2. 7

3. 9

4. 8

Q.

Slade and Wade worked on a project for 5 days and 6 days respectively. The money they got from it was ₹ 4400.

If they divided the money amongst themselves according to their time investment, how much money did Wade get?

1. ₹ 2000

2. ₹ 2800

3. ₹ 2100

4. ₹ 2400

Q.

In a feast, daal and rice were mixed in the ratio 2 : 9 to make masala khichdi. If the quantity of daal taken was 14 kgs, how much total khichdi was made? (Consider weights of only daal and rice)

1. 85 kgs

2. 77 kgs

3. 55 kgs

4. 66 kgs

Q.

A line segment AP is divided into 2 parts by a point O. If the length of the smaller segment AO is 15 cm less than the larger segment OP and the ratio of lengths of AO and OP = 4 : 7, find the length of OP.

1. 42 cm

2. 28 cm

3. 35 cm

4. 21 cm

Q. The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is ${10}^{\circ }$, find the three angles.

Q.

The students of a school belonging to different religious backgrounds are given below:
$\begin{array}{cc}\text{Religions}& \text{Number of students}\\ \text{Hindu}& \text{288}\\ \text{Muslim}& \text{252}\\ \text{Sikh}& \text{144}\\ \text{Christian}& \text{72}\end{array}$
Find the ratio of the number of Muslim students to the total number of students.

1. 1:4

2. 1:3

3. 3:1

4. 1:4

Q. The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is ${10}^{\circ }$, find the three angles.

Q. The expenses on wheat, meat and vegetables of a family are in the ratio 12: 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family on these articles are increased by

1. 25$\frac{1}{7}$%
2. 28$\frac{1}{8}$%
3. 23$\frac{1}{3}$%
4. 27$\frac{1}{8}$%