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Master Olympiad Chain Arithmetic - Beginner Level Problems Olympiad Chain Arithmetic BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Olympiad Chain Arithmetic. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing olympiad chain arithmetic practice, olympiad chain arithmetic for competitive exams, and how to solve olympiad chain arithmetic.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 3 of 10 (22% complete)

Question 1

Find difference between CI and SI on ₹2433 at 8% for 3 years.
P=2433, R=8%, T=3. SI=583.92, CI=631.88, Difference=47.96

Question 2

Investment returns in ratio 4:5, total ₹28999. If first investor gets 12888.44 at 20% ROI, find their investment.
Returns ratio 4:5, total ₹28999. Return1=12888.44 at 100% ROI, Investment=51553.78

Question 3

A and B share ₹3117 in ratio 6:3. If A's share increases by 20%, what is A's new share?
Ratio 6:3, total 3117, A's share = 2078.00. After 20% increase = 2493.6

Question 4

A car travels at 71 km/h for 3 hours. The distance covered equals the elder's age. The younger is 2 times younger. Find younger's age.
Distance = 71×3 = 213 km. Elder age = distance = 213. Younger = 213/2 = 106

Question 5

₹2316 and ₹2078 at 10% for 2 years. Ratio of simple interests = ?
SI1=463.20, SI2=415.60, Ratio = 1.11:1

Question 6

Work efficiency: A = 4 units/day, B = 2 units/day. Total work 112 units. Difference in days to complete = ?
A efficiency=4, B=2, Work=112. A time=28.0, B time=56.0, Difference=28.0

Question 7

Find (CI - SI) on ₹1668 at 10% for 2 years.
P=1668, R=10%, T=2y. CI=350.28, SI=333.60, Difference=16.68

Question 8

Work efficiency: A = 4 units/day, B = 3 units/day. Total work 112 units. Difference in days to complete = ?
A efficiency=4, B=3, Work=112. A time=28.0, B time=37.333333333333336, Difference=9.3

Question 9

Investment returns in ratio 3:4, total ₹27290. If first investor gets 11695.71 at 20% ROI, find their investment.
Returns ratio 3:4, total ₹27290. Return1=11695.71 at 100% ROI, Investment=77971.43

Question 10

A completes work in 14 days, B in 16 days. They work together and earn ₹10889. Find A's share.
A: 14 days, B: 16 days. Work ratio = 0.071:0.062. Profit 10889, A's share = 5807.47

Question 11

In a group, 23 members are aged 21, 35 members aged 54. Find average age.
23 people age 21, 35 people age 54. Average = 40.9

Question 12

Sum of AP (a=4, d=4, n=6) + 3th term of GP (a=5, r=2) = ?
AP sum = 84, GP term = 20. Combined = 104.0

Question 13

A car travels at 71 km/h for 5 hours. The distance covered equals the elder's age. The younger is 4 times younger. Find younger's age.
Distance = 71×5 = 355 km. Elder age = distance = 355. Younger = 355/4 = 88

Question 14

MP ₹1469, discount 20%, profit 15%. Find cost price.
MP=1469, Discount=20%, SP=1175.20. Profit 15%, CP=1021.91

Question 15

Sum of GP (a=3, r=2, 3 terms) invested at 8% SI for 4 years. Find interest.
GP sum (a=3, r=2, n=3) = 21. SI at 8% for 4y = 6.72

Question 16

A invests ₹21843 for 12 months, B ₹27965 for 9 months. Total profit ₹12221. Find A's ROI percentage.
A: ₹21843 for 12m, B: ₹27965 for 9m. Profit 12221, A's ROI = 28.542568037041576%

Question 17

Average age of 6 people is 29. If a 27-year-old leaves, find new average.
Total 6 people avg 29 → total=174. Remove age 27, new avg=29.4

Question 18

A invests ₹20759 for 6 months, B ₹21861 for 8 months. Total profit ₹14714. Find A's ROI percentage.
A: ₹20759 for 6m, B: ₹21861 for 8m. Profit 14714, A's ROI = 29.482838078826617%

Question 19

A and B share ₹1079 in ratio 3:5. If A's share increases by 25%, what is A's new share?
Ratio 3:5, total 1079, A's share = 404.62. After 25% increase = 505.78

Question 20

In a group, 17 members are aged 25, 31 members aged 48. Find average age.
17 people age 25, 31 people age 48. Average = 39.9
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