Explanation

From Maryam's purchase:

4C + T = 1800

From Fatima's purchase:

6C + 2T = 3000

We can solve these equations using substitution or elimination. Let's use elimination.

Multiplying the first equation by 2:

8C + 2T = 3600

Now subtracting the second equation from this:

(8C + 2T) - (6C + 2T) = 3600 - 3000

2C = 600

C = 300

Explanation

First, find the consumption rate per person per day:

30 persons consume 20 kg in 25 days

Total consumption per day for 30 persons = 20 kg / 25 days = 0.8 kg/day

Consumption per person per day = 0.8 kg/day / 30 persons = 0.02667 kg/person/day

Now, find the consumption for 15 persons in 30 days:

Total consumption = 15 persons × 0.02667 kg/person/day × 30 days

= 15 × 0.8

= 12 kg

Explanation

To find the value-added tax (VAT), we need to calculate the tax paid on purchase and tax charged on sale, then find the difference.

Purchase price = Rs. 6890

Tax paid on purchase = 4% of 6890

= 0.04 × 6890

= Rs. 275.6

Sale price = Rs. 7900

Tax charged on sale = 6% of 7900

= 0.06 × 7900

= Rs. 474

Value-added tax (VAT) = Tax charged on sale - Tax paid on purchase

= 474 - 275.6

= Rs. 198.4

Explanation

Let's solve the equation step by step:

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Expanding both sides:

2x - 4 - 5x + 25 = 4x - 32 - 2x + 4

Combining like terms:

-3x + 21 = 2x - 28

Adding 3x to both sides:

21 = 5x - 28

Adding 28 to both sides:

49 = 5x

Dividing both sides by 5:

x = 49/5

x = 9.8

Explanation

Cost of 1 register = 5075 ÷ 35 = Rs. 145

Explanation

Greatest 5-digit number = 99,999

Smallest 4-digit number = 1,000

Sum = 99,999 + 1,000 = 100,999

Explanation

The series is just + 2 then * 2

3+2 = 5

5*2 = 10

10+2 = 12

12*2 = 24

24 +2 = 26

26*2= 52

Explanation

We are given:

d : e = 4 : 3

e : f = 7 : 8

To combine them, make the value of e the same in both ratios.

LCM of 3 and 7 = 21

So,

d : e = 4×7 : 3×7 = 28 : 21

e : f = 7×3 : 8×3 = 21 : 24

Now combine:

d : e : f = 28 : 21 : 24

Explanation

When objects move in opposite directions, relative speed = sum of speeds.
=> 60 + 135 = 195 Kmph

Explanation

 Selling Price = Cost + Profit

= 1500 + (15% of 1500) = 1500 + 225 = 1725