Quant (Hindi) - MCQ - 10

43.5= (725×R×1)/100×(362.5×4×2R)/(12×100)
43.5×300=2175R+362.5×2R
=2900 R
R=4.5

Total debt=25500× 100/85=Rs.30000
Money received by selling the goods=25500(2/5×83/100+3/5×78/100)
=25500/500 (166+234)
=51×400=Rs.20400
Therefore, money received by the creditors for a rupee=Rs.(20400/30000)=Rs.0.68=68 paise
Hence, the creditor received 68 paise in a rupee.

10% of 2000=200 

Selling price of 200 tables at 50%=Rs.(200×1725/2)=Rs.172500
Selling price of remaining 1800 tables=Rs.(1800×1725)=Rs.3105000
Total revenue from selling 2000 tables =Rs.(172500+3105000)=Rs.3277500
Now, Rs. 3277500 includes 15% profit. Therefore, cost price of 2000 tables=100/115×3277500=Rs.2850000
Now the actual selling price=2000×30/100×1725+2000×70/100×1725/2
=2000×1725(30/100+35/100)
=20×1725×65=Rs.2242500
∴Loss=Cost Price-Selling Price

Hence, the carpenter incurs a loss of Rs. 607500.

The first year’s increase of 10% can be expressed as 1.10; the second year’s increase of 5% can be expressed as 1.05; and the third year’s decrease of 10% can be expressed as 0.90. Now, multiply the original value of the investment account by each of these yearly changes.

10,000×1.10×1.05×0.90=10,395 

Hence, the value of the investment today is Rs. 10,395.

5. Let y be the number of registered voters in Delhi. The, the information that 60% of the registered voters are from BJP can be expressed as 0.60y. From this, it can be stated that 1.00y-0.60y=0.40y are from Congress. The percentage of BJP-supporters and the percentage of Congress-supporters who are expected to vote for candidate A can then be expressed as:
0.75×0.60y+0.20×0.40y

Simplify the expression to determine the total percentage of voters expected to vote for candidate A.
0.75×0.60y+0.20×0.40y
=0.45y+0.08y=0.53y

Hence, 53% of the registered voters are expected to vote for candidate A.

The ratio of royalties to sales for the first Rs. 20 million in sales is 3/20, and the ratio of royalties to sales for the next Rs. 108 million in sales is 9/108=1/12. The percent decrease in the royalties to sales ratios is 100 times the quotient of the difference in the ratios divided by the ratio of royalties to sales for the first Rs. 20 million in sales, i.e., 
(1/12-3/20)/(3/20)×100=(1/12-3/20)×20/3×100
=((5-9)/60)×20/3×100
=(-4)/60×20/3×100=(-4)/9×100
=-0.4444×100=-44.44
=44.44%decrease

Let the population of the city be 100. Then,
People reading Jan Jagran=25
People reading Jan Khabar=20
People reading both=8
People reading only Jan Jagran=17
People reading only Jan Khabar=12
Therefore, required percentage of people who read an advertisement=(5.1+4.8+4)=13.9%.

Let the number of people in my office=100
At least 50 people read an e-newspaper.
At most 12.5 people read more than one e-newspaper.
Therefore, at least 37.5 people read only one e-newspaper. 
Hence, at least 37.5% read exactly one e-newspaper.

Let the total number of students by y. Then,
Number of boys=3y/5
Number of girls=2y/5
Number of girls scoring more than 40 marks=4/5×2y/5=8y/25
Total number of students scoring more than 40 marks=3y/5
∴ Required fraction =7/25×5/3=7/15
Hence, the fraction of the boys who scored 40 marks or less is 7/15.

Let the total number of respondents=100
People favoured IAC=60
People favoured IPP=40
New no. of people facouring IAC=58
New no. of people favouring IPP=42
Required percentage= (58-50)*100/58=14%Approx

There series is –(1³+1),+(2³+1),-(3³+1),+(4³+1),-(5³+1),….
ie 264-(1³+1)=262,
264-(2³+1)=271,  
271-(3³+1)=243, 
243-(4³+1)=308, 
308-(5³+1)=182 
 

The series is ×1+1, ×2+2, ×3+3, ×4+4, ×5+5, …..
ie  1.5×1+1=2.5
2.5×2+2=7, 
7×3+3=24, 
24×4+4=100,  
100×5+5=505 

The series is +7, +14, +28, +56, +112, 
ie  71+7=78, 
78+14=92, 
92+28=120, 
120+56=176, 
176+112=288

The series is ×0.5+0.5, ×1+1, ×1.5+1, ×2+2, ×2.5+2.5,…..
ie.17×0.5+0.5=9,
9×1+1=10,
10×1.5+1.5=16.5,
16.5×2+2=35,
35×2.5+2.5=90, …..

The series is ÷2 -0.5, ÷2-0.5, (repeated)
ie.  79÷2-0.5=39,
39÷2-0.5=19,
19÷2-0.5=9,
9÷2-0.5=4,
4÷2-0.5=1.5,….

Total number of employees in Company N=700
Percentage of Science graduate employees=[100-(31+40) ]=29%
Now, the percentage difference between Arts graduate employees and Science graduate employees
=(40-29)%=11%
∴ 11% of 700=77
∴ Difference=77

The percentage of Arts graduate employees in company Q=(100-35-50)%=15%
Now, the percentage of Arts graduate employees and Commerce graduate employees=50+15=65%
Average of commerce and Arts graduate employees=312
∴ the total number of employees in commerce and Arts=2×312
Let the total employees in Company Q be x. 
Then, 65% of x=2×312
∴x=(2×312×100)/65=960 

The percentage of Commerce graduate employees and Arts graduate employees in Company M
=(100-32)%=68%
Now, the percentage of Arts graduate employees=(68×7)/17=28%
The percentage of commerce graduate employees=(68×10)/17=40%
The number of Arts graduate employees in Company M=(1050×28)/100=294

The number of employees in company N in December 2012=700
The number of employees in Company N in December 2013=(700×120)/100=840
Number of Science graduate employees in Company N in December 2013=(20×840)/100=168 

The percentage of Arts employees in Company O=(100-30-30)=40%
The percentage difference between Arts graduate employees in Company O and P=(40-20)=20%
Now, let the number of employees in Company O be x.
The, x ×20%=180

∴  x=(180×100)/20=900