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Arithmetic Problems - Advanced Level: discount problems ADVANCED

Quick competitive exam prep session: 20 advanced-level arithmetic problems questions. Worksheet 27 of 30 - Focus: discount problems. Practice ratio proportion, averages, time-work problems with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 27 of 30 (90% complete)

Question 1

A, B, and C invest Rs. 6157, Rs. 3044, and Rs. 6982 for 8, 7, 9 months respectively. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 6157×8 : 3044×7 : 6982×9 = 49256 : 21308 : 62838
partnership

Question 2

A and B invest for 10 and 9 months respectively. C joins after 3 months and invests Rs. 4616 for the remaining period. What is the profit sharing ratio of A : B : C?
Profit ratio = Investment × Time = 3596×10 : 6720×9 : 4616×8 = 35960 : 60480 : 36928
partnership

Question 3

Find the sum of first 8 terms of the AP: First term=4, common difference=4.
S_n = n/2 [2a + (n-1)d] = 8/2*[2*4+(7)*4] = 144.0
sum, arithmetic progression

Question 4

In the HP sequence: 0.2, 0.1, 0.0667, ___, 0.04, 0.0333, find the missing term.
HP = reciprocal of AP. Missing index: 3. AP: 20. Answer: 0.05.
HP, sequence

Question 5

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 6

What is 77 ÷ 11?
77 ÷ 11 = 7
arithmetic, operation

Question 7

If you start with 26, add 3, multiply by 3, then subtract 3, what is the result?
(26+3)=29; 29*3=87; 87-3=84
arithmetic, hybrid

Question 8

What is 80 * 85?
80 * 85 = 6800
arithmetic, operation

Question 9

Calculate compound interest on Rs. 5942 at 7% per annum for 4 years.
CI = P(1+r/100)^t - P = 7788.75 - 5942 = 1846.75.
compound interest

Question 10

A, B, and C invest Rs. 6691, Rs. 8915, and Rs. 4041 for 6, 9, 7 months respectively. If total profit is Rs. 12000, what is C's share?
Share ratio = 6691×6 : 8915×9 : 4041×7 = 40146 : 80235 : 28287
C's share = (28287 / 148668) × 12000 = 2283.24
partnership

Question 11

A, B, and C invest Rs. 2096, Rs. 4382, and Rs. 4800 for 11, 8, 7 months respectively. If total profit is Rs. 12000, what is C's share?
Share ratio = 2096×11 : 4382×8 : 4800×7 = 23056 : 35056 : 33600
C's share = (33600 / 91712) × 12000 = 4396.37
partnership

Question 12

If A can complete a work in 3 days, and B in 12 days, how long will they take together?
Time = (A * B) / (A + B) = (3*12)/(3+12) = 2.4 days.
time work

Question 13

Calculate simple interest on Rs. 830 at 4% per annum for 3 years.
Simple Interest = PRT/100 = 99.6.
interest

Question 14

What is the remainder when 183 is divided by 7?
183 modulo 7 = 1.
modular

Question 15

Fill the missing term: 35, 50, ?, 80, 95, 110
AP with difference 15. 35+2*15 = 65.
arithmetic, progression

Question 16

What is 10% of 585?
10% of 585 = (585*10)/100 = 58.5
percentage

Question 17

What is 33% of 1099?
33% of 1099 = (1099*33)/100 = 362.67
percentage

Question 18

If A can complete a work in 2 days, and B in 12 days, how long will they take together?
Time = (A * B) / (A + B) = (2*12)/(2+12) = 1.71 days.
time work

Question 19

If A can complete a work in 3 days, and B in 12 days, how long will they take together?
Time = (A * B) / (A + B) = (3*12)/(3+12) = 2.4 days.
time work

Question 20

A car travels at 49 km/h for 2 hours. The distance covered equals the elder's age. The younger is 4 times younger. Find younger's age.
Distance = 49×2 = 98 km. Elder age = distance = 98. Younger = 98/4 = 24
Olympiad, chain
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