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Arithmetic Problems - Intermediate-Advanced Level: compound interest INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for arithmetic problems: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: compound interest. Develop expertise in compound interest, ratio proportion, averages with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 19 of 30 (63% complete)

Question 1

If you start with 34, add 6, multiply by 8, then subtract 6, what is the result?
(34+6)=40; 40*8=320; 320-6=314
arithmetic, hybrid

Question 2

In the GP sequence: 2, 8, ___, 128, 512, 2048, 8192, find the missing term.
GP formula: Each term = a * r^i. Missing term index: 2. Answer: 32.
GP, sequence

Question 3

Sum of first 4 terms of AP (a=234, d=135) is invested at 6% compound interest for 2 years. Find compound interest.
AP sum: 1746. CI on ₹1746 at 6% for 2 years = 215.81
Olympiad, chain

Question 4

Find the wrong term in the series: 29, 36, 22, 50, 57, 64, 71
Correct AP is 29, 36, 43, 50, 57, 64, 71. Wrong term: 22, position 3.
arithmetic, wrong term

Question 5

Fill the missing term: 17, 28, 39, 50, 61, 72, ?, 94, 105
AP with difference 11. 17+6*11 = 83.
arithmetic, progression

Question 6

In a ratio 2:3, what is the first part out of 265?
First part: 265 * 2/(5) = 106.0
ratio

Question 7

Find the wrong term in the series: 14, 23, 5, 41, 50, 59, 68
Correct AP is 14, 23, 32, 41, 50, 59, 68. Wrong term: 5, position 3.
arithmetic, wrong term

Question 8

If you start with 88, add 7, multiply by 3, then subtract 7, what is the result?
(88+7)=95; 95*3=285; 285-7=278
arithmetic, hybrid

Question 9

What is 169 - 59?
169 - 59 = 110
arithmetic, operation

Question 10

Salary ₹59457, tax 15%. After tax, 20% invested. Find investment amount.
Gross ₹59457, Tax 15% = ₹8918.55, Net=50538.45. Investment 20% = 10107.69
Olympiad, chain

Question 11

Calculate compound interest on Rs. 4748 at 9% per annum for 1 years.
CI = P(1+r/100)^t - P = 5175.32 - 4748 = 427.32.
compound interest

Question 12

In a ratio 7:7, what is the first part out of 784?
First part: 784 * 7/(14) = 392.0
ratio

Question 13

Calculate simple interest on Rs. 3972 at 12% per annum for 1 years.
Simple Interest = PRT/100 = 476.64.
interest

Question 14

If A can complete a work in 4 days, and B in 7 days, how long will they take together?
Time = (A * B) / (A + B) = (4*7)/(4+7) = 2.55 days.
time work

Question 15

Find the sum of first 7 terms of the AP: First term=2, common difference=4.
S_n = n/2 [2a + (n-1)d] = 7/2*[2*2+(6)*4] = 98.0
sum, arithmetic progression

Question 16

What is the remainder when 157 is divided by 3?
157 modulo 3 = 1.
modular

Question 17

If you start with 20, add 4, multiply by 3, then subtract 4, what is the result?
(20+4)=24; 24*3=72; 72-4=68
arithmetic, hybrid

Question 18

Convert 82 km to miles (1 km = 0.621371 miles).
82 * 0.621371 = 50.95 miles
conversion

Question 19

What is 180 + 69?
180 + 69 = 249
arithmetic, operation

Question 20

A and B invest for 6 and 11 months respectively. C joins after 4 months and invests Rs. 2614 for the remaining period. If total profit is Rs. 12000, what is A's share?
Share ratio = 4991×6 : 6903×11 : 2614×7 = 29946 : 75933 : 18298
A's share = (29946 / 113721) × 12000 = 3159.94
partnership
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