Explanation

Initial ratio milk : water = 4 : 1

Let initial milk = 4x  

Let initial water = x  

Total = 5x  

10 liters of mixture taken out.  

In the mixture, milk = 4/5 and water = 1/5  

Milk taken out = 10 × 4/5 = 8 liters  

Water taken out = 10 × 1/5 = 2 liters  

Remaining:  

Milk = 4x - 8  

Water = x - 2  

Now 10 liters of water is added.  

New Water = x - 2 + 10 = x + 8  

New Milk = 4x - 8  

New ratio milk : water = 2 : 3  

So,  

(4x - 8) / (x + 8) = 2 / 3  

Cross multiply:  

3(4x - 8) = 2(x + 8)  

12x - 24 = 2x + 16  

12x - 2x = 16 + 24  

10x = 40  

x = 4  

Original milk = 4x = 4 × 4 = 16 liters

Last verified on 09-07-2026

Explanation

A proportion consists of four components (terms).

Example: a : b = c : d, where a, b, c, and d are the four terms.

Last verified on 25-08-2026

Explanation

Original Price = Rs. 8500

Selling Price = Rs. 7500

Depreciation amount = 8500 - 7500 = Rs. 1000

Ratio of depreciated price = Original : Selling 

= 8500 : 7500

Divide both by 500:

= 17 : 15

Last verified on 25-08-2026

Explanation

Given

120 : 100 :: 30 : B

In proportion a : b :: c : d

a x d = b x c

120 x B = 100 x 30

120 x B = 3000

B = 3000 / 120

B = 25

Last verified on 25-08-2026

Explanation

Ratio = 4 : 5

Let first salary = 4x

Let second salary = 5x

Given first salary = 600

So 4x = 600

x = 600 / 4 = 150

Second salary = 5x = 5 * 150 = 750

Last verified on 03-08-2026

Explanation

Boys = 14  

Girls = 18  

Ratio of girls to boys = girls : boys = 18 : 14  

Simplify by dividing both by 2:  

18 : 14 = 9 : 7

Last verified on 28-07-2026

Explanation

Given:  

5x/4 = 8y/3

Cross multiply:  

5x _ 3 = 8y _ 4  

15x = 32y

Now write as ratio x : y  

x / y = 32 / 15  

So x : y = 32 : 15

Last verified on 27-07-2026

Explanation

Let the two values be 4x and 5x.

Since 4 and 5 are co-prime:

LCM(4x,5x)=20x
20x=180
$$x=9$$

Smaller value:

4x=4×9=36

Last updated on 23-07-2026 by NA
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Explanation

 15: 7 :: x: 560

15/7  = x / 560 

15/7 x 560 

x= 15 x 80 

x =  1200

Last update 0n 21-07-2026 by NA

Explanation

Scale 1:50,000 means 1 cm = 50,000 cm.

6 cm = 6 × 50,000 cm = 300,000 cm = 3,000 m = 3 km.

Verified & Updated