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Arithmetic: Percentage Test -3
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Question 1 |
120% of a number N is 106.8. Then what is 106.8% of N?
94.05 | |
95.05 | |
90.05 | |
none |
Question 1 Explanation:
=>(N x120)/100 = 106.8
=>12N = 1068
=>N= 89
=>So (89 x 106.8)/100
=>89 x 1.068= 95.05
=>12N = 1068
=>N= 89
=>So (89 x 106.8)/100
=>89 x 1.068= 95.05
Question 2 |
Richa’s salary in 2011 was $1000/day and her salary in 2012 was $1250/day. Again Richa’s salary in 2013 is $1000/day. what is the percent change in the salary of the year 2012?
12.5% | |
6.67% | |
25% | |
35 % |
Question 2 Explanation:
This is a simple question of percentage change
The percentage change = (final value – initial value ) / (initial value) x 100
So in 2011 Richa’s salary was 1000
i.e the initial value and then her salary increased to 1250, that is final value.
So the percentage change is (1250-1000) / 1000 x 100 = 25%
The right option is c
The percentage change = (final value – initial value ) / (initial value) x 100
So in 2011 Richa’s salary was 1000
i.e the initial value and then her salary increased to 1250, that is final value.
So the percentage change is (1250-1000) / 1000 x 100 = 25%
The right option is c
Question 3 |
A person spends 40% of his salary on his educational expenses. He spends 60% of it in purchasing books and one-half of the remaining in purchasing stationery items. If he saves Rs 160 every month, which is one-fourth of the balance after spending over books and stationery items, what is his monthly salary?
(a)Rs 8000 | |
Rs 4800 | |
Rs 9600 | |
Data inadequate |
Question 3 Explanation:
Let his monthly salary be (s)
40% on education expenses = 0.4s
=> 0.4s x 60/100 = 0.24s is on purchasing books
=> ½ ( 0.4 – 0.24) = 0.08s is on stationary items
=> So money left will be 0.4s – ( 0.24s + 0.08s)= Rs 0.08s
Now Acc. to the 2nd statement
1/4 ( 0.08s) =160
=> 160 x 4/0.08 = Rs 8000
40% on education expenses = 0.4s
=> 0.4s x 60/100 = 0.24s is on purchasing books
=> ½ ( 0.4 – 0.24) = 0.08s is on stationary items
=> So money left will be 0.4s – ( 0.24s + 0.08s)= Rs 0.08s
Now Acc. to the 2nd statement
1/4 ( 0.08s) =160
=> 160 x 4/0.08 = Rs 8000
Question 4 |
One type of liquid contains 25% of milk, the other contains 30% of milk. A container is 6 parts of the first liquid and 4 parts of liquid. The percentage of milk in the container?
27% | |
31% | |
29% | |
33% |
Question 4 Explanation:
The mixture is of 6 x (25/100) + 4 x (30/100) = 270/100
Therefore for 10 parts = (270 x 10)/100=27%
Therefore for 10 parts = (270 x 10)/100=27%
Question 5 |
The retail price of a water geyser is Rs 1265 manufacturer gain 10%, the wholesale d 15% and the retailer gains 25%, then the cost price of the product is
Rs 800 | |
Rs 900 | |
Rs 700 | |
Rs 600 |
Question 5 Explanation:
Let (c) be the cost of product
Therefore we have
c x 110/100 x 115/100 x 125/100 = 1265
c = 1265 x 100/110 x 100/115 x 100/125 = Rs 800
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