Explanation

If they sold 25% of the lights, they have 75% of the lights left. We are given that 75% of the lights is 1500:

$$0.75x=1500$$

Solve for $x$:

x=1500/0.75

​=2000

So, the total number of lights initially was 2000.

Explanation

Total time taken: T=2t

Average speed = d/t = 230t = 115 km/hr

Explanation

Students passed in English = 80%

Students passed in Math's = 85%

Students passed in both subjects = 73%

Then, the number of students who passed at least one subject

= (80+85)-73

= 92%.

[The percentage of students who passed in English and Maths individually, has already included the percentage of students who passed in both subjects. So, We are subtracting the percentage of students who have passed both subjects to find out the percentage of students who at least passed one subject.]

Thus, students failed in both subjects = 100-92 = 8%.

Explanation

Loss = 50000 - 43000 = 7000

Loss % = (7000 / 50000) × 100 = 14%

Explanation

we can use the formula:

Value = (Percentage / 100) * Number

Let's substitute the values into the formula:

51 = (17 / 100) * Number

51 / (17 / 100) = Number

Explanation

When 20% of itself is added to the number, it gives 102, so we can set up the equation:

x + (20% of x) = 102

To find 20% of x, multiply x by 0.20:

x + 0.20x = 102

Combine like terms:

1.20x = 102

Divide both sides by 1.20:

x = 102 / 1.20

x = 85

So, the correct answer is: 85

Explanation

Explanation

60% of 50 = 60/100 × 50

= 0.6 × 50

= 30

Explanation

Market price = x

Price after 5% increase = x + 0.05x = 1.05x

Sales tax = 12% of x = 0.12x

Total price paid by customer = 1.05x + 0.12x = 1.17x

Given that the total price paid is Rs. 4680:

1.17x = 4680

x = 4680 / 1.17

x = 4000

Explanation

Number of heads = 48

Number of feet = 140

Calculation:

Let the number of hens is x and the number of cows is y. Therefore,

x + y = 48           ----(1)

According to the question,

2x + 4y = 140

⇒ x + 2y = 70     ----(2)

Subtracting (1) from (2), we get

y = 22

Put this value in equation (1)

⇒ x = 48 - 22 = 26

No.of hens =26
No. of cows =22.