Olympiad Chain Arithmetic - Intermediate Level: tricky scenarios handling Olympiad Chain Arithmetic INTERMEDIATE

This expert challenge 📈 worksheet focuses on Olympiad Chain Arithmetic - a key topic in Arithmetic Problems. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve olympiad chain arithmetic, olympiad chain arithmetic tricks, and olympiad chain arithmetic shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Olympiad Chain Arithmetic
Worksheet 5 of 10 (44% complete)

Question 1

MP ₹500, discount 25%, profit 10%. Find cost price.
MP=500, Discount=25%, SP=375.00. Profit 10%, CP=340.91

Question 2

Find difference in CI for ₹3134 at 8% vs 13% for 2 years.
P=3134, R1=8%, R2=13%, T=2. CI difference = 346.31

Question 3

MP ₹1268, discount 10%, profit 20%. Find cost price.
MP=1268, Discount=10%, SP=1141.20. Profit 20%, CP=951.0

Question 4

₹2052 and ₹3426 at 7% for 4 years. Ratio of simple interests = ?
SI1=574.56, SI2=959.28, Ratio = 0.6:1

Question 5

MP ₹1274, discount 10%, profit 15%. Find cost price.
MP=1274, Discount=10%, SP=1146.60. Profit 15%, CP=997.04

Question 6

Find difference in CI for ₹2652 at 7% vs 10% for 2 years.
P=2652, R1=7%, R2=10%, T=2. CI difference = 172.65

Question 7

Find (CI - SI) on ₹3238 at 12% for 2 years.
P=3238, R=12%, T=2y. CI=823.75, SI=777.12, Difference=46.63

Question 8

₹2288 and ₹2754 at 6% for 2 years. Ratio of simple interests = ?
SI1=274.56, SI2=330.48, Ratio = 0.83:1

Question 9

Investment returns in ratio 3:4, total ₹12702. If first investor gets 5443.71 at 20% ROI, find their investment.
Returns ratio 3:4, total ₹12702. Return1=5443.71 at 100% ROI, Investment=21774.86

Question 10

Salary ₹88619, tax 25%. After tax, 20% invested. Find investment amount.
Gross ₹88619, Tax 25% = ₹22154.75, Net=66464.25. Investment 20% = 13292.85

Question 11

A completes work in 16 days, B in 17 days. They work together and earn ₹11401. Find A's share.
A: 16 days, B: 17 days. Work ratio = 0.062:0.059. Profit 11401, A's share = 5873.24

Question 12

A invests ₹10026 for 12 months, B ₹16160 for 5 months. Total profit ₹18122. Find A's ROI percentage.
A: ₹10026 for 12m, B: ₹16160 for 5m. Profit 18122, A's ROI = 108.13079279207606%

Question 13

Sum of GP (a=2, r=3, 5 terms) invested at 6% SI for 4 years. Find interest.
GP sum (a=2, r=3, n=5) = 242. SI at 6% for 4y = 58.08

Question 14

Average age of 8 people is 36. If a 34-year-old leaves, find new average.
Total 8 people avg 36 → total=288. Remove age 34, new avg=36.285714285714285

Question 15

A car travels at 62 km/h for 4 hours. The distance covered equals the elder's age. The younger is 3 times younger. Find younger's age.
Distance = 62×4 = 248 km. Elder age = distance = 248. Younger = 248/3 = 82

Question 16

Find difference in CI for ₹7469 at 8% vs 12% for 2 years.
P=7469, R1=8%, R2=12%, T=2. CI difference = 657.27

Question 17

Sum of AP (a=2, d=8, n=6) + 4th term of GP (a=2, r=3) = ?
AP sum = 132, GP term = 54. Combined = 186.0

Question 18

In a group, 13 members are aged 33, 31 members aged 51. Find average age.
13 people age 33, 31 people age 51. Average = 45.7

Question 19

In AP (a=27, d=10, n=8), what % of total sum is the 4th term?
AP sum = 496, term4=57, percentage=11.5%

Question 20

Find difference in CI for ₹5531 at 6% vs 13% for 2 years.
P=5531, R1=6%, R2=13%, T=2. CI difference = 847.9
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