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COURSE MODULE NAME PERCENTAGES

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9.<br />

C.3 : 4 D.4 : 3<br />

Answer & Explanation<br />

Answer: Option D<br />

Explanation:<br />

5% of A + 4% of B = 2 (6% of A + 8% of B)<br />

3<br />

5<br />

A + 4 B= 2 6 A + 8 B<br />

100 100 3 100 100<br />

1 1 1 4 A + B= A + B<br />

20 25 25 75<br />

1 1 4 1<br />

- -<br />

20 25 A = 75 25 B<br />

1<br />

A = 1 B<br />

100 75<br />

A 100 4 = = .<br />

B 75 3<br />

Required ratio = 4 : 3<br />

A student multiplied a number by 3 instead of 5 .<br />

5 3<br />

What is the percentage error in the calculation?<br />

A.34%<br />

B.44%<br />

C.54%<br />

D.64%<br />

Answer & Explanation<br />

Answer: Option D<br />

Explanation:<br />

Let the number be x.<br />

Then, error = 5 x - 3 x = 16 x.<br />

3 5 15<br />

Error% = 16x x 3 x 100<br />

15 5x % = 64%.<br />

10. In an election between two candidates, one got 55% of the total valid votes, 20% of the<br />

votes were invalid. If the total number of votes was 7500, the number of valid votes that<br />

the other candidate got, was:<br />

A.2700 B.2900<br />

C.3000 D.3100<br />

Answer & Explanation<br />

Answer: Option A<br />

Explanation:<br />

Number of valid votes = 80% of 7500 = 6000.<br />

Valid votes polled by other candidate = 45% of 6000<br />

= 45 x 6000 = 2700.<br />

100<br />

11. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively.<br />

What percentage of the total votes did the winning candidate get?<br />

A.57%<br />

B.60%<br />

C.65%<br />

D.90%<br />

Percentages<br />

8

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