Explanation

Step 1: Assistant A

24 records in 18 minutes

Rate = 24 / 18 = 1.333 records per minute

In 40 minutes = 1.333 x 40 = 53.33

Exclude fraction = 53 complete records

Step 2: Assistant C

20 records in 16 minutes

Rate = 20 / 16 = 1.25 records per minute

In 40 minutes = 1.25 x 40 = 50

Exclude fraction = 50 complete records

Step 3: Total

53 + 50 = 103 complete records

Answer: 103 records, being 53 and 50 with fractions disregarded.

Last verified on 10-09-2026

Explanation

Initial ratio A : B = 3 : 4  

Let A = 3x, B = 4x  

A is increased by 20%  

New A = 3x + 20% of 3x = 3x + 0.6x = 3.6x  

B is increased by 10%  

New B = 4x + 10% of 4x = 4x + 0.4x = 4.4x  

New ratio = 3.6x : 4.4x = 36 : 44  

Divide by 4:  

36 / 4 : 44 / 4 = 9 : 11

Last verified on 09-07-2026

Explanation

Let milk = 5x  

Let water = x  

Initial ratio milk : water = 5 : 1  

After adding 12 liters water:  

Milk = 5x  

Water = x + 12  

New ratio milk : water = 5 : 3  

So,  

5x / (x + 12) = 5 / 3  

Cross multiply:  

5x _ 3 = 5 _ (x + 12)  

15x = 5x + 60  

15x - 5x = 60  

10x = 60  

x = 6  

Milk = 5x = 5 * 6 = 30 liters

Last verified on 09-07-2026

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