percentages Model Questions & Answers, Practice Test for ssc mts paper 1
There are 1850 employees in an organization. Out of these 38% got transferred to different places. How many such employees got the transfer?
Answer: (c)
Required number of employees
= ${1850 × 38}/100$ = 703
A salesman is allowed 5$1/2$ % discount on the total sales made by him plus a bonus of $1/2$ % on the sales over Rs. 10,000. If his total earnings were Rs. 1990, then his total sales (in Rs.) were:
Answer: (c)
Let the total sales be Rs. x.
Then, 5$1/2$ % of x + $1/2$% of (x – 10000) = 1990
$11/2 × 1/100 × x + 1/2 × 1/100 × (x - 10000) = 1990$
12x –10000 = 398000
12x = 408000 ⇒ x = 34000
When a number is first increased by 30% and then is reduced by 20% , then the number
Answer: (a)
$(30 - 20 - {30 × 20}/100)$ = 4% Increase
In a co-education school there are 15 more girls than boys. If the number of girls is increased by 10% and the number of boys is also increased by 16%, there would be nine more girls than boys. What is the number of students in the school?
Answer: (d)
Let the number of boys be x.
Then, the number of girls = (x + 15)
New number of girls = (x + 15) × 1.1
New number of boys = x × 1.16
Then, 1.1(x + 15) = 1.16x + 9
⇒ 1.16x - 1.1x = 16.5 - 9 = 7.5
or 0.06x = 7.5 or $x = 7.5/0.06 = 125$
Number of boys = 125
Number of girls = 140
⇒ Number of students = 265
Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is
Answer: (b)
Total Children = 85
Let, boys are x, then girls are (85 – x)
ATQ,
(85 – x) = $70/100 × x$
x = 50
Boys = 50 and Girls = 35
Now,
No. of boys playing badminton only 25
Total no. of boys playing badminton = 30
And, No. of children playing only table tennis = 34
Children play both badminton and table tennis are 12
Number of girls play both games = 12 – 5 = 7
Number of boys play only table tennis = 50 – 30 = 20
∴ Number of girls play only Table tennis = 34 – 20 = 14
and so, Number of girls play only badminton
= 35 – 14 – 7 = 14.
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