Explanation

Selling price (SP) = Rs. 40.00

Profit percentage = 15%

Cost price (CP) = SP / (1 + 15/100)

= 40 / 1.15

= Rs. 34.78

To earn a 20% profit:

New selling price (SP) = CP * (1 + 20/100)

= 34.78 * 1.20

= Rs. 41.74

The correct answer is 41.74.

Explanation

To solve the problem, let us assume the total number of boys is $B$ and the total number of girls is $G$. According to the problem:

• $frac{1}{3}$ of the boys are present, so the number of boys present is $frac{B}{3}$
  
• $frac{1}{2}$ of the girls are present, so the number of girls present is $frac{G}{2}$.

The total number of students present is given as:

B​/3+G​/2=Total students present.

Step 1: Check if additional information is provided

• The problem does not give the total number of boys ($B$) or girls ($G$), nor a relationship between $B$ and $G$.
• Without this, we cannot calculate the total number of students present.

Step 2: Conclusion

Since no additional information about $B$ and $G$ is given, the correct answer is:

(D) Data inadequate.

Explanation

3900 ÷ 500 = 7.8

Explanation

Let's say B's income is 100%.

Then, A's income is 60% (since it's 40% less than B's).

To find out how much percent B's income is more than A's income, we need to find the difference between their incomes and divide it by A's income, then multiply by 100:

((B's income - A's income) / A's income) * 100

= ((100 - 60) / 60) * 100

= (40 / 60) * 100

= 66.66%

So, B's income is 66.66% more than A's income.

Explanation

The mode is the digit that appears most frequently in the data set.

Let's count the occurrences of each digit:

• 0: 3 times
• 1: 2 times
• 2: 1 time
• 3: 2 times
• 5: 1 time
• 6: 2 times
• 7: 1 time
• 9: 1 time

The digit 0 appears most frequently, 3 times. Therefore, the mode is 0.

Explanation

The pattern in the series is adding 3 to each number to get the next number, so:

• 2 + 3 = 5
• 5 + 3 = 8
• 8 + 3 = 11
• 11 + 3 = 14
• 14 + 3 = 17

So, the correct answer is: 17

Explanation

Initially, the whole cake is 8/8 (which is equal to 1).

If 2/8 part of the cake has been eaten, that means 2/8 has been subtracted from the whole cake.

So, the remaining fraction of the cake is:

8/8 - 2/8 = 6/8

Now, we can simplify the fraction 6/8 by dividing both numerator and denominator by 2, which gives us:

6/8 = 3/4

Explanation

The series is obtained by adding 10, 20, 30, 40, ... to the previous term:

• 50 + 10 = 60
• 60 + 20 = 80
• 80 + 30 = 110
• 110 + 40 = 150
• 150 + 50 = 200

Explanation

Convert the time from 9:55 a.m. to 10:15 a.m. to a fraction of an hour:

20 minutes = 20/60 = 1/3 hour

Multiply the rate (40 km/h) by the time (1/3 hour):

40 km/h × 1/3 h = 40/3 km

40/3 km = 13 1/3 km

So, the motorist travels 13 1/3 kilometers.

Explanation

To divide a number by 100, you can simply move the decimal point two places to the left.

So, dividing 0.25 by 100 would result in:

0.25 ÷ 100 = 0.0025