Explanation

Given ratio:

Sand : Cement = 4.8 : 2

Let's find the factor by which 4.8 is multiplied to get 6 kg of sand:

6 kg / 4.8 = 1.25

Now, multiply the cement ratio by this factor:

Cement needed = 2 × 1.25

= 2.5 kg

Explanation

Given proportion:

2 : 7 :: 14 : x

We can set up an equation based on the proportion:

2/7 = 14/x

Cross-multiplying:

2x = 14 × 7

2x = 98

Dividing both sides by 2:

x = 98/2

x = 49

Explanation

Cost of 15 toys = Rs. 234

Cost of 1 toy = Rs. 234 ÷ 15 = Rs. 15.60

Cost of 35 toys = Rs. 15.60 x 35 = Rs. 546

So, the correct answer is: Rs. 546

Explanation

Given: A : B = 3 : 1 and B : C = 1 : 2.

To find A : B : C, make the ratio of B the same in both expressions.

A : B = 3 : 1 means A = 3B.

B : C = 1 : 2 means C = 2B.

So, A : B : C = 3B : B : 2B, which simplifies to 3 : 1 : 2.

Now, multiply the entire ratio by 5 to make the B value in all ratios equal: 3 : 5 : 10.

Explanation

To find the ratio of passed to failed students:

Number of students who passed = Total students - Failed students

= 112 - 14

= 98

Ratio of passed to failed students = 98 : 14

Simplify the ratio by dividing both numbers by 14:

Ratio = 98/14 : 14/14

= 7 : 1