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1.

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?

Answer» Let the sum paid to Y per week be Rs. z. Then, z + 120% of z = 550. z + 120 z = 550 100 11 z = 550 5 z = 550 x 5   = 250. 11
2.

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?

Answer» Let the amount taxable purchases be Rs. x. Then, 6% of x = 30 100 x = 30 x 100 = 5. 100 6 Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70
3.

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.

Answer» Rebate = 6% of Rs. 6650 = Rs. 6 x 6650 = Rs. 399. 100 Sales tax = 10% of Rs. (6650 - 399) = Rs. 10 x 6251 = Rs. 625.10 100 Final amount = Rs. (6251 + 625.10) = Rs. 6876.10 Video Explanation: https://youtu.be/XuiggCTh3SU
4.

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

Answer» Increase in 10 years = (262500 - 175000) = 87500. Increase% = 87500 x 100 % = 50%. 175000 Required average = 50 % = 5%. 10
5.

If 20% of = , then % of 20 is the same as:

Answer» 20% of a = b      20 a = b. 100 b% of 20 = b x 20 = 20 a x 1 x 20 = 4 a = 4% of a. 100 100 100 100
6.

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.

Answer» 5% of A + 4% of B = 2  (6% of A + 8% of B) 3 5  A + 4  B = 2 6  A + 8  B 100 100 3 100 100 1  A + 1  B = 1  A + 4  B 20 25 25 75 1 - 1  A =  4 - 1  B 20 25 75 25 1  A = 1  B 100 75 A = 100 = 4 . B 75 3 Required ratio = 4 : 3 Video Explanation: YouTube Video
7.

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:

Answer» Number of valid votes = 80% of 7500 = 6000. Valid votes polled by other candidate = 45% of 6000 = 45 x 6000 = 2700. 100
8.

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?

Answer» Number of runs made by running = 110 - (3 x 4 + 8 x 6) = 110 - (60) = 50. Required percentage = 50 x 100 % = 45 5 % 110 11 Video Explanation: https://youtu.be/X2zTnABqEHU
9.

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:

Answer» Let their marks be (x + 9) and x. Then, x + 9 = 56 (x + 9 + x) 100 25(x + 9) = 14(2x + 9) 3x = 99 x = 33 So, their marks are 42 and 33.
10.

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

Answer» Suppose originally he had x apples. Then, (100 - 40)% of x = 420. 60 x x = 420 100 x = 420 x 100   = 700. 60 Video Explanation: https://youtu.be/-Pv25Do3WwY
11.

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

Answer» Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such number =14 Required percentage = 14 x 100 % = 20%. 70 Video Explanation: https://youtu.be/cBamI6iRNIA
12.

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

Answer» Total number of votes polled = (1136 + 7636 + 11628) = 20400. Required percentage = 11628 x 100 % = 57%. 20400