Explanation

Explanation

Explanation

To find the annual premium for Ali's life insurance policy, we need to calculate both the premium amount and the policy fee, then add them together.

Calculate the premium amount:

The premium is 4.5% of the total policy amount.

Premium = 4.5/100 × 500,000 = 0.045 × 500,000 Rs.

Calculate the policy fee:

The policy fee is 0.25% of the total policy amount.

Policy Fee = 0.25/100 × 500,000 = 0.0025 × 500,000 =1,250 Rs.

Add the premium amount and the policy fee to get the total annual premium:

Total Annual Premium = 22,500 + 1,250 = 23,750 Rs.

So, the annual premium for Ali's life insurance policy is Rs. 23,750.

Explanation

The ratio of copper to silver is 3:7.

To find the percentage of silver in the alloy, we can use the following formula:

Percentage of silver = (Amount of silver / Total amount) × 100

First, let's find the total amount:

Total amount = Copper + Silver

= 3 + 7

= 10

Now, we can plug in the values:

Percentage of silver = (7 / 10) × 100 = 70%

So, the percentage quantity of silver in the alloy is 70%.

The correct answer is: 70%

Explanation

n(A) = 75% of 600 = 450

n(B) = 45% of 600 = 270 and n(A ∪ B) = 600

∵ n(A∩B) = n (A) + n(B) - n(A∪B) = (450 + 270 - 600) = 120

Explanation

60 (English) + 50 (Physics) + 90 (Economics) = 200

Total marks possible so far = 3 x 100 = 300

Now, let's calculate the total marks required to get 72% overall:

Total marks required = 72% of (300 + 100) (assuming Math's paper has 100 marks)

= 0.72 x 400

= 288

Now, let's subtract the marks already obtained from the total marks required:

288 - 200 = 88

So, the student needs 88 marks in Math's to obtain overall 72% marks.

Explanation

Given data:

The seller sells 40% of his apples.
After selling, he still has 420 apples.
Concept/Formula:

The concept used to solve this problem is related to "percentage". The seller was left with 60% of his apples (100% - 40% = 60%) when he had 420 apples left.

Solution:

⇒ the 420 apples represent 60% of his original stock (since he sold 40%).

⇒ If 60% of the original stock equals 420 apples, then 1% can be calculated by dividing 420 by 60.

Hence, 1% = 420 ÷ 60 = 7 apples.

⇒ Now, to find the total original stock (100%), the amount per 1% is multiplied by 100.

Therefore, the original amount = 7 × 100 = 700 apples.

Therefore, originally, he had 700 apples.

Explanation

To convert 2/5 to a percentage:

First, convert the fraction to a decimal:

2/5 = 2 ÷ 5 = 0.4

Now, convert the decimal to a percentage:

0.4 × 100% = 40%

Explanation

If 20% of the students are girls, then the remaining percentage (100% - 20% = 80%) represents the boys.

So, in a class of 40 students:

80% of 40 = (80/100) * 40 = 0.8 * 40 = 32

Therefore, there are 32 boys in the class.

Explanation