Arithmetic Problems - Intermediate Level: percentage problems INTERMEDIATE

Master arithmetic problems concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into percentage problems while learning percentage problems, profit-loss, simple interest. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 16 of 30 (53% complete)

Question 1

Convert 83 km to miles (1 km = 0.621371 miles).
83 * 0.621371 = 51.57 miles

Question 2

The chart below shows the number of cars (in thousands) manufactured in 2020: India-250 USA-400 Japan-150 UK-270 How many more cars (in thousands) did Japan make compared to USA?
Difference = |150 - 400| = 250.

Question 3

Convert 95 km to miles (1 km = 0.621371 miles).
95 * 0.621371 = 59.03 miles

Question 4

If A can complete a work in 3 days, and B in 9 days, how long will they take together?
Time = (A * B) / (A + B) = (3*9)/(3+9) = 2.25 days.

Question 5

If A can complete a work in 2 days, and B in 11 days, how long will they take together?
Time = (A * B) / (A + B) = (2*11)/(2+11) = 1.69 days.

Question 6

A and B invest for 4 and 9 months respectively. C joins after 4 months and invests Rs. 7812 for the remaining period. If total profit is Rs. 25000, what is C's share?
Share ratio = 2830×4 : 4690×9 : 7812×7 = 11320 : 42210 : 54684
C's share = (54684 / 76966) × 25000 = 17762.39

Question 7

Calculate simple interest on Rs. 2824 at 10% per annum for 1 years.
Simple Interest = PRT/100 = 282.4.

Question 8

Calculate simple interest on Rs. 3967 at 12% per annum for 2 years.
Simple Interest = PRT/100 = 952.08.

Question 9

Find the sum of first 10 terms of the AP: First term=11, common difference=7.
S_n = n/2 [2a + (n-1)d] = 10/2*[2*11+(9)*7] = 425.0

Question 10

Convert 9 km to miles (1 km = 0.621371 miles).
9 * 0.621371 = 5.59 miles

Question 11

What is 128 - 50?
128 - 50 = 78

Question 12

What is the remainder when 499 is divided by 3?
499 modulo 3 = 1.

Question 13

What is 121 - 36?
121 - 36 = 85

Question 14

Convert 57 km to miles (1 km = 0.621371 miles).
57 * 0.621371 = 35.42 miles

Question 15

If A can complete a work in 2 days, and B in 7 days, how long will they take together?
Time = (A * B) / (A + B) = (2*7)/(2+7) = 1.56 days.

Question 16

Convert 40 km to miles (1 km = 0.621371 miles).
40 * 0.621371 = 24.85 miles

Question 17

Find the wrong term in the series: 17, 22, 27, 52, 37, 42, 47
Correct AP is 17, 22, 27, 32, 37, 42, 47. Wrong term: 52, position 4.

Question 18

In a ratio 2:2, what is the first part out of 200?
First part: 200 * 2/(4) = 100.0

Question 19

Calculate simple interest on Rs. 5973 at 10% per annum for 2 years.
Simple Interest = PRT/100 = 1194.6.

Question 20

Find the sum of first 8 terms of the AP: First term=8, common difference=5.
S_n = n/2 [2a + (n-1)d] = 8/2*[2*8+(7)*5] = 204.0
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