## Percentage problems

• 1. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

• Options
• A. 1
• B. 14
• C. 20
• D. 21
• 2. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

• Options
• A. 2700
• B. 2900
• C. 3000
• D. 3100
• 3. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

• Options
• A. 2 : 3
• B. 1 : 1
• C. 3 : 4
• D. 4 : 3
• 4. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

• Options
• A. Rs. 15
• B. Rs. 15.70
• C. Rs. 19.70
• D. Rs. 20
• 5. A student multiplied a number by 35 instead of 53. What is the percentage error in the calculation?

• Options
• A. 34%
• B. 44%
• C. 54%
• D. 64%
• 6. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

• Options
• A. 45%
• B. 45 511%
• C. 54 611%
• D. 55%
• 7. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

• Options
• A. Rs. 200
• B. Rs. 250
• C. Rs. 300
• D. None of these
• 8. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

• Options
• A. 39, 30
• B. 41, 32
• C. 42, 33
• D. 43, 34
• 9. Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

• Options
• A. Rs. 6876.10
• B. Rs. 6999.20
• C. Rs. 6654
• D. Rs. 7000
• 10. If 20% of a = b, then b% of 20 is the same as:

• Options
• A. 4% of a
• B. 5% of a
• C. 20% of a
• D. None of these