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Master Olympiad Chain Arithmetic - Intermediate-Advanced Level Problems Olympiad Chain Arithmetic INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Olympiad Chain Arithmetic. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing olympiad chain arithmetic shortcut methods, olympiad chain arithmetic bank exam questions, and olympiad chain arithmetic ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Olympiad Chain Arithmetic
Worksheet 7 of 10 (66% complete)

Question 1

In a GP, the 5th term is 405 (a=5, r=3). This amount is invested at 7% simple interest for 2 years. Find the interest earned.
GP: a=5, r=3, term 5 = 405. SI on ₹405 at 7% for 2 years = 56.7

Question 2

₹1332 and ₹2796 at 8% for 3 years. Ratio of simple interests = ?
SI1=319.68, SI2=671.04, Ratio = 0.48:1

Question 3

Salary ₹62605, tax 15%. After tax, 15% invested. Find investment amount.
Gross ₹62605, Tax 15% = ₹9390.75, Net=53214.25. Investment 15% = 7982.14

Question 4

Find difference between CI and SI on ₹4993 at 9% for 2 years.
P=4993, R=9%, T=2. SI=898.74, CI=939.18, Difference=40.44

Question 5

MP ₹1353, discount 10%, profit 20%. Find cost price.
MP=1353, Discount=10%, SP=1217.70. Profit 20%, CP=1014.75

Question 6

A and B share ₹3175 in ratio 3:5. If A's share increases by 15%, what is A's new share?
Ratio 3:5, total 3175, A's share = 1190.62. After 15% increase = 1369.22

Question 7

Mix 2:1 of items costing ₹36 and ₹98 per kg. Total 80kg sold at 25% profit. Find profit amount.
Mixture 2:1 of ₹36 & ₹98. Total 80kg, cost=4533.33, SP=5666.67, Profit=1133.33

Question 8

Sum of GP (a=1, r=2, 3 terms) invested at 7% SI for 4 years. Find interest.
GP sum (a=1, r=2, n=3) = 7. SI at 7% for 4y = 1.96

Question 9

Salary ₹53221, tax 10%. After tax, 15% invested. Find investment amount.
Gross ₹53221, Tax 10% = ₹5322.1, Net=47898.9. Investment 15% = 7184.84

Question 10

A car travels at 52 km/h for 5 hours. The distance covered equals the elder's age. The younger is 2 times younger. Find younger's age.
Distance = 52×5 = 260 km. Elder age = distance = 260. Younger = 260/2 = 130

Question 11

Average age of 6 people is 27. If a 24-year-old leaves, find new average.
Total 6 people avg 27 → total=162. Remove age 24, new avg=27.6

Question 12

Find (CI - SI) on ₹4763 at 8% for 2 years.
P=4763, R=8%, T=2y. CI=792.56, SI=762.08, Difference=30.48

Question 13

Find difference in CI for ₹4586 at 9% vs 11% for 2 years.
P=4586, R1=9%, R2=11%, T=2. CI difference = 201.78

Question 14

An item bought for ₹215 sold for ₹268.75. Profit shared in ratio 2:4. Find larger share.
CP=215, SP=268.75, Profit=53.75. Shared 2:4, A's share=17.92

Question 15

Find difference between CI and SI on ₹3789 at 9% for 2 years.
P=3789, R=9%, T=2. SI=682.02, CI=712.71, Difference=30.69

Question 16

Find difference in CI for ₹7937 at 8% vs 10% for 2 years.
P=7937, R1=8%, R2=10%, T=2. CI difference = 346.05

Question 17

A car travels at 44 km/h for 5 hours. The distance covered equals the elder's age. The younger is 4 times younger. Find younger's age.
Distance = 44×5 = 220 km. Elder age = distance = 220. Younger = 220/4 = 55

Question 18

An item bought for ₹104 sold for ₹138.32. Profit shared in ratio 4:5. Find larger share.
CP=104, SP=138.32, Profit=34.32. Shared 4:5, A's share=15.25

Question 19

A takes 13 days, B takes 16 days. Total wages ₹5456. Find A's share.
A: 13 days, B: 16 days. Wage ratio 0.077:0.062. Total ₹5456, A's wage=3010.21

Question 20

Total capital ₹52047. A contributes 50%, B rest. Profit ₹21930. Find A's share.
Total ₹52047, A invests 50% (₹26024). Profit 21930, A's share=10965.0
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