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Arithmetic Problems - Intermediate-Advanced Level: time-work problems INTERMEDIATE-ADVANCED

Ready to master arithmetic problems? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your time-work problems skills. Master basic arithmetic, percentage problems, profit-loss through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Arithmetic Problems
Worksheet 22 of 30 (73% complete)

Question 1

In a ratio 4:3, what is the first part out of 196?
First part: 196 * 4/(7) = 112.0
ratio

Question 2

Calculate simple interest on Rs. 5651 at 4% per annum for 3 years.
Simple Interest = PRT/100 = 678.12.
interest

Question 3

In a ratio 6:4, what is the first part out of 300?
First part: 300 * 6/(10) = 180.0
ratio

Question 4

What is the remainder when 479 is divided by 5?
479 modulo 5 = 4.
modular

Question 5

Calculate simple interest on Rs. 943 at 12% per annum for 5 years.
Simple Interest = PRT/100 = 565.8.
interest

Question 6

A and B invest Rs. 3670 and Rs. 7134 for 11 and 8 months respectively. If total profit is Rs. 12000, what is A's share?
Share ratio = 3670×11 : 7134×8 = 40370 : 57072
A's share = (40370 / 97442) × 12000 = 4971.57
partnership

Question 7

In a ratio 3:2, what is the first part out of 95?
First part: 95 * 3/(5) = 57.0
ratio

Question 8

If A can complete a work in 5 days, and B in 6 days, how long will they take together?
Time = (A * B) / (A + B) = (5*6)/(5+6) = 2.73 days.
time work

Question 9

If you start with 63, add 9, multiply by 7, then subtract 9, what is the result?
(63+9)=72; 72*7=504; 504-9=495
arithmetic, hybrid

Question 10

In the HP sequence: 0.3333, 0.125, ___, 0.0556, 0.0435, 0.0357, 0.0303, find the missing term.
HP = reciprocal of AP. Missing index: 2. AP: 13. Answer: 0.0769.
HP, sequence

Question 11

Find the sum of first 15 terms of the AP: First term=2, common difference=3.
S_n = n/2 [2a + (n-1)d] = 15/2*[2*2+(14)*3] = 345.0
sum, arithmetic progression

Question 12

A, B, and C invest Rs. 7327, Rs. 4241, and Rs. 7847 for 12, 10, 6 months respectively. If total profit is Rs. 20000, what is A's share?
Share ratio = 7327×12 : 4241×10 : 7847×6 = 87924 : 42410 : 47082
A's share = (87924 / 177416) × 20000 = 9911.62
partnership

Question 13

Calculate simple interest on Rs. 7610 at 2% per annum for 3 years.
Simple Interest = PRT/100 = 456.6.
interest

Question 14

In a ratio 3:2, what is the first part out of 235?
First part: 235 * 3/(5) = 141.0
ratio

Question 15

In AP (a=19, d=11, n=5), what % of total sum is the 3th term?
AP sum = 205, term3=41, percentage=20.0%
Olympiad, chain

Question 16

Calculate simple interest on Rs. 4407 at 3% per annum for 5 years.
Simple Interest = PRT/100 = 661.05.
interest

Question 17

Find the sum of first 15 terms of the AP: First term=2, common difference=5.
S_n = n/2 [2a + (n-1)d] = 15/2*[2*2+(14)*5] = 555.0
sum, arithmetic progression

Question 18

If you start with 99, add 9, multiply by 4, then subtract 9, what is the result?
(99+9)=108; 108*4=432; 432-9=423
arithmetic, hybrid

Question 19

In a ratio 6:7, what is the first part out of 195?
First part: 195 * 6/(13) = 90.0
ratio

Question 20

A and B invest for 9 and 9 months respectively. C joins after 3 months and invests Rs. 7749 for the remaining period. If total profit is Rs. 15000, what is the difference between C's and B's shares?
C's share = 7940.09
B's share = 5566.98
Difference = |7940.09 - 5566.98| = 2373.11
partnership
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