Explanation

First, convert both to the same unit (grams):

3.5 kg = 3500 grams

280 grams (already in grams)

Ratio = 3500 : 280

Simplifying the ratio:

3500 / 280 = 12.5

280 / 280 = 1

12.5 : 1 = 25 : 2 (after multiplying both parts by 2)

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

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

Explanation

To find the ratio of 1.8 to 2:

Divide 1.8 by 2:

1.8 ÷ 2 = 0.9

Now, multiply by 10 to eliminate the decimal:

0.9 × 10 = 9

The ratio becomes:

9 : 10

Explanation

To find the ratio between their ages, we need to convert their ages to a common unit (months):
Ashraf's age:
15 years × 12 months/year = 180 months

- 10 months = 190 months

Akmal's age:
17 years × 12 months/year = 204 months

- 5 months = 209 months

Now, find the ratio:
Ashraf's age : Akmal's age = 190 : 209
Simplify the ratio:
190 ÷ 19 = 10
209 ÷ 19 = 11
So, the ratio is:
10 : 11

Explanation

To find the ratio c:a, divide the value of c by the value of a:

c:a = 20:5

Simplify the ratio by dividing both numbers by 5:

c:a = 4:1

Explanation

The mean proportional of two numbers is the square root of their product.

Mean proportional = √(4 × 16) = √64 = 8

Explanation

We are given:

• 12 men + 16 boys complete the work in 5 days

• 13 men + 24 boys complete the work in 4 days

• We need to find the ratio of the daily work done by a man to that of a boy.

Step 1: Let M be work done by 1 man in 1 day and B be work done by 1 boy in 1 day

5(12M+16B)=1

4(13M+24B)=1

Step 2: Convert to equations

12M+16B=⅕

4(13M + 24B) = 1​

Step 3: Solve for M and B

Multiply first equation by 4:

48M+64B=⅘

Multiply second equation by 5:

65M+120B=5/4

Convert fractions:

4/5=0.8,5/4=1.25

Solving simultaneously:

Using elimination: Multiply (48M + 64B = 0.8) by 5:

240M+320B=4240M + 320B = 4240M+320B=4

Multiply (65M + 120B = 1.25) by 4:

(260M+480B)- (240M + 320B) =5-4

20M + 160 b = 1

Dividing by 20:

M+8B=1/20M 

Substituting M = 2B from Question 69:

2B+8B=1/20

10B=20/1​

 B=1/200B

​ M=2×1/200=2/200=1/100M

Thus, ratio M:B = 2:1.