Math MCQs

First, let's find the total quantity.

• If 20% is 30, then 1% is 30 ÷ 20 = 1.5.
• To find 100% (the total quantity), we multiply 1% by 100: 1.5 * 100 = 150.

Now, we can find 25% of the total quantity.

• 25% of 150 is 150 * 0.25 = 37.5.

So, 25% of the quantity is 37.5.

Given:

Profit = 25%

C.P of 20 articles is equal to the S.P of x articles

Where, C.P = Cost price, S.P = Selling price

Formula used:

Profit% = [(S.P – C.P)/ C.P] × 100

Calculation: 

C.P × 20 = S.P × x

S.P/C.P = 20/x

Profit % = [(20 – x)/x] × 100

⇒ 2000 – 100x = 25x

⇒ 125x = 2000

∴ The value of ‘x’ is 16.

In two years extra rate%
Extra amount=72(Given)
According to the question 6%=of sum=72
1% of sum=$\frac{\mathrm{72/}}{6}$
Sum=$\frac{\mathrm{72/}}{6}\times 100=1200$

Let's break down the problem step-by-step:

1. Total work:

• 7 men can complete the work in 12 days.
• So, the total work = 7 men * 12 days = 84 man-days.

2. Double the work:

• Double the work = 84 * 2 = 168 man-days.

3. Required days:

• We want to complete this double work in 8 days.

4. Required men:

• To find the required number of men, we divide the total work by the required days:
  • Required men = 168 man-days / 8 days = 21 men.

5. Additional men required:

• We already have 7 men.
• So, additional men needed = 21 - 7 = 14 men.

Therefore, 14 additional men will be required to complete double the work in 8 days.

First, let's find the total number.

• If 25% is 50, then 1% is 50 ÷ 25 = 2.
• To find 100% (the total number), we multiply 1% by 100: 2 * 100 = 200.

Now, we can find 5% of the total number.

• 5% of 200 is 200 * 0.05 = 10.

So, 5% of the number is 10.

Total work = LCM of 12 and 8 = 24

⇒ Total work = 24 units

In 1 day A can do 24/12 = 2 unit work

In 1 day A & B together can do 24/8 = 3 unit work

⇒ In 1 day B can do (3 - 2) = 1 unit work

⇒ To complete 24 unit work B alone will take 24/1 = 24 days

∴ B will finish the work in 24 days.

First, let's find the total number.

• If 12% is 48, then 1% is 48 ÷ 12 = 4.
• To find 100% (the total number), we multiply 1% by 100: 4 * 100 = 400.

Now, we can find 8% of the total number.

• 8% of 400 is 400 * 0.08 = 32.

So, 8% of the number is 32.

To find the average percentage, we add the two percentages and divide by 2:

(60% + 70%) / 2 = 130% / 2 = 65%

So, the average percentage score is 65%.

1. Calculate the discount amount:

   • Discount = 10% of 450
   • Discount = (10/100) * 450 = 45

2. Calculate the selling price:

   • Selling Price = Marked Price - Discount
   • Selling Price = 450 - 45 = 405

Therefore, the selling price of the article should be Rs. 405.

First, let's find the total number.

• If 35% is 140, then 1% is 140 ÷ 35 = 4.
• To find 100% (the total number), we multiply 1% by 100: 4 * 100 = 400.

Now, we can find 70% of the total number.

• 70% of 400 is 400 * 0.70 = 280.

So, 70% of the number is 280.

Total weight of 25 students = 25 * 50 = 1250 kg

Total number of people (students + teacher) = 26

New average weight = 50 + 1 = 51 kg

Total weight of 26 people = 26 * 51 = 1326 kg

Weight of the teacher = Total weight of 26 people - Total weight of 25 students = 1326 - 1250 = 76 kg

So, the weight of the teacher is 76 kg.

Time taken for the first half:

1. • Distance = x/2 km
   • Speed = 40 km/h
   • Time = Distance/Speed = (x/2)/40 = x/80 hours

2. Time taken for the second half:

   • Distance = x/2 km
   • Speed = 60 km/h
   • Time = Distance/Speed = (x/2)/60 = x/120 hours

3. Total time:

   • Total time = Time for first half + Time for second half
   • 10 = x/80 + x/120

4. Solving for x:

   • Find the common denominator (240) and combine the fractions:
     • 10 = (3x + 2x)/240
   • 10 = 5x/240
   • 5x = 2400
   • x = 480 km

Therefore, the total distance traveled is 480 km.