Question: 11 -

The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary? 

950

900

1000

975

Answer:

1000

Solution:

X * (110/100) * (95/100) = 1045
X * (11/10) * (1/100) = 11
X = 1000

Question: 12 -

After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? 

1200

1100

1400

1300

Answer:

1200

Solution:

CP* (76/100) = 912
CP= 12 * 100 => CP = 1200

Question: 13 -

A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?

10%

6%

7%

9%

Answer:

9%

Solution:

Actual price = Rs.25 + Rs.2.50 = Rs.27.5
Saving = Rs.2.5
Saving percent
=(2.5/27.5)×100=250/27.5=2500/275=100/11≈9%

Question: 14 -

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, what was the number of valid votes that the other candidate got?

2100

2500

2800

2700

Answer:

2700

Solution:

Total number of votes = 7500
20% votes were invalid.
Therefore, 80% votes were valid.
i.e., total valid votes =7500×(80/100)
1st candidate got 55% of the total valid votes.
Hence 2nd candidate got 45% of the total valid votes
Therefore, valid votes that the 2nd candidate got
=7500×(80/100)×(45/100)=75×45×45=75×4×9=300×9=2700

Question: 15 -

A pipe X is 30 meters and 45% longer than another pipe Y. Find the length of pipe Y.

20

20.12

20.68

20.5

Answer:

20.68

Solution:

Length of pipe X = 30 meter
Let length of pipe Y =y meter
Pipe X is 45% longer than Y
⇒30=y×(145/100) ⇒y=(30×100)/145=(6×100)/29=600/29=20.68