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Arithmetic Problems - Expert Level: depreciation EXPERT

Intensive progress check 🎯 drill: 20 expert-level arithmetic problems questions. Worksheet 30 of 30 hones your depreciation abilities. Practice percentage problems, profit-loss, simple interest under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 30 of 30 (100% complete)

Question 1

What is 33% of 671?
33% of 671 = (671*33)/100 = 221.43
percentage

Question 2

Find the sum of first 20 terms of the AP: First term=5, common difference=6.
S_n = n/2 [2a + (n-1)d] = 20/2*[2*5+(19)*6] = 1240.0
sum, arithmetic progression

Question 3

Fill the missing term: 21, ?, 27, 30, 33, 36
AP with difference 3. 21+1*3 = 24.
arithmetic, progression

Question 4

Find the wrong term in the series: 33, 42, 51, 60, 69, 96, 87
Correct AP is 33, 42, 51, 60, 69, 78, 87. Wrong term: 96, position 6.
arithmetic, wrong term

Question 5

Sum of first 5 terms of AP (a=299, d=65) is invested at 6% compound interest for 3 years. Find compound interest.
AP sum: 2145. CI on ₹2145 at 6% for 3 years = 409.73
Olympiad, chain

Question 6

In a ratio 4:6, what is the first part out of 500?
First part: 500 * 4/(10) = 200.0
ratio

Question 7

In the GP sequence: 6, 12, ___, 48, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 24.
GP, sequence

Question 8

In the GP sequence: 2, 10, 50, ___, 1250, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 3. Answer: 250.
GP, sequence

Question 9

Find (CI - SI) on ₹1856 at 12% for 2 years.
P=1856, R=12%, T=2y. CI=472.17, SI=445.44, Difference=26.73
Olympiad, chain

Question 10

A and B invest Rs. 7629 and Rs. 8294 for 8 and 6 months respectively. If total profit is Rs. 12000, what is A's share?
Share ratio = 7629×8 : 8294×6 = 61032 : 49764
A's share = (61032 / 110796) × 12000 = 6610.2
partnership

Question 11

Calculate compound interest on Rs. 6310 at 6% per annum for 4 years.
CI = P(1+r/100)^t - P = 7966.23 - 6310 = 1656.23.
compound interest

Question 12

What is 25% of 1002?
25% of 1002 = (1002*25)/100 = 250.5
percentage

Question 13

What is 5% of 1019?
5% of 1019 = (1019*5)/100 = 50.95
percentage

Question 14

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 UK make compared to India?
Difference = |270 - 250| = 20.
data chart

Question 15

Calculate simple interest on Rs. 5362 at 8% per annum for 3 years.
Simple Interest = PRT/100 = 1286.88.
interest

Question 16

What is 33% of 611?
33% of 611 = (611*33)/100 = 201.63
percentage

Question 17

What is 116 + 27?
116 + 27 = 143
arithmetic, operation

Question 18

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 India make compared to Japan?
Difference = |250 - 150| = 100.
data chart

Question 19

If A can complete a work in 4 days, and B in 8 days, how long will they take together?
Time = (A * B) / (A + B) = (4*8)/(4+8) = 2.67 days.
time work

Question 20

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 UK?
Difference = |150 - 270| = 120.
data chart
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