681.A person earns Rs. 2000 per month over and above his salary as additional charge allowance. However, 30% of this additional income will be deducted as additional income tax at source. If the person would deposit Rs. 1000 per month on a long term saving fetching 12% interest his tax liability on the additional allowance would reduce to 10%. What is the effective interest for this person for money invested in the long term savings scheme?
12%
18%
19%
20%
Explanation:
Now we have given additional charge allowance as Rs. 2000
Then Income-tax on charge allowance will be according to 30%, so:
2000 x 30/100 = Rs. 600
Now it is given that by depositing Rs.1000 per month in long-term saving, additional tax is reduced by 10%
So according to 10%, it will be:
600 x 10/100 = Rs. 60.
So, person get:
= 60 + 12% (1000)
= 60 +1000 x 12/100
= 60 + 120
= Rs. 180
So the effective interest on Rs.1,000 is Rs.180
Then the effective interest on Rs.100 will be:
= ( 180 / 1000 ) x 100
= 18 %
Now we have given additional charge allowance as Rs. 2000
Then Income-tax on charge allowance will be according to 30%, so:
2000 x 30/100 = Rs. 600
Now it is given that by depositing Rs.1000 per month in long-term saving, additional tax is reduced by 10%
So according to 10%, it will be:
600 x 10/100 = Rs. 60.
So, person get:
= 60 + 12% (1000)
= 60 +1000 x 12/100
= 60 + 120
= Rs. 180
So the effective interest on Rs.1,000 is Rs.180
Then the effective interest on Rs.100 will be:
= ( 180 / 1000 ) x 100
= 18 %
683.If the price of a television set is increased by 25 %, then by what percentage should the new price be reduced to bring the price back to the original level?
15%
25%
20%
30%
Explanation:
Let the original price be x.
Increased price = x[1 + $\dfrac{25}{100}$] =$\dfrac{5x}{4}$
Reduction in price to bring it back to its original value
=$\dfrac{5x}{4}-x $ = x/4
% Reduction =$\dfrac{(x/4)}{(5x/4)} \times 100 $ =20%
Let the original price be x.
Increased price = x[1 + $\dfrac{25}{100}$] =$\dfrac{5x}{4}$
Reduction in price to bring it back to its original value
=$\dfrac{5x}{4}-x $ = x/4
% Reduction =$\dfrac{(x/4)}{(5x/4)} \times 100 $ =20%
1283.Ramu and Suresh was paid a total of Rs. 450 per week. If Ramu is paid 130 percent of the sum paid to Suresh then what is the salary of Suresh per week?
1.5 kmph
12 kmph
180
195.65
Explanation:
Let the salary of Suresh be x salary of Ramu = x+130% of x = 23x/10
hence, x+ 23x/10 = 450 x
= 450 * 10/33 = 195.65
Let the salary of Suresh be x salary of Ramu = x+130% of x = 23x/10
hence, x+ 23x/10 = 450 x
= 450 * 10/33 = 195.65
1284.A student scores 90%, 60%, 54% marks in a test paper of 100, 150, 200 respectively as maximum marks. What is the total percentage?
195.65
64%
77.70%
75%
Explanation:
A student secures 90% , 60% and 54% marks in test papers with 100, 150, 200 respectively as maximum marks.
Now, 90% of 100 = 0.90 × 100 = 90
60% of 150 = 0.60 × 150 = 90
54% of 200 = 0.54 × 200 = 108
Total marks obtained in the test = 90 + 90 + 108= 288
Total maximum marks which can be obtained = 100 + 150 + 200 = 450
So, Aggregate Percentage of Marks = 288/450 × 100 = 64%
A student secures 90% , 60% and 54% marks in test papers with 100, 150, 200 respectively as maximum marks.
Now, 90% of 100 = 0.90 × 100 = 90
60% of 150 = 0.60 × 150 = 90
54% of 200 = 0.54 × 200 = 108
Total marks obtained in the test = 90 + 90 + 108= 288
Total maximum marks which can be obtained = 100 + 150 + 200 = 450
So, Aggregate Percentage of Marks = 288/450 × 100 = 64%
1285.In a company 20% of the employers are below 5 years of experience. The number of employees above 5 years of experience is 2/3 of the number of employers of 5 years of experience which is 48. How many number of employees are there in the company?
76%
79%
100
200
1286.If A=x% of y and B=y% of x then which of the following is true?
300
400
A is equal to B
A is greater than B
Explanation:
X% of Y =$\dfrac{x}{100} \times Y $ =$\dfrac{Y}{100} \times X $ =Y% of X Therefore A=B
X% of Y =$\dfrac{x}{100} \times Y $ =$\dfrac{Y}{100} \times X $ =Y% of X Therefore A=B
1287.Ram spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end ofa month are Rs.1500, then his salary per month (in Rs. ) is
Rs.5000
Rs.7500
Rs.18000
Rs.15000
Explanation:
Expenditure :
Food→ 40%
House Rent→ 20%
Entertainment→ 10%
Conveyance→ 10%
Total expenditure = 80%
Savings = 100% - 80% =20%
20%→ 1500
1%= 1500/20
Salary (100%)->$\dfrac{1500}{20} \times 100 $
=Rs.7500
Expenditure :
Food→ 40%
House Rent→ 20%
Entertainment→ 10%
Conveyance→ 10%
Total expenditure = 80%
Savings = 100% - 80% =20%
20%→ 1500
1%= 1500/20
Salary (100%)->$\dfrac{1500}{20} \times 100 $
=Rs.7500
1288.Gaurav spends 30% of his monthly income on food, 40% of the remaining on conveyance and clothes, and saves 50% of the remaining . If his monthly salary is Rs 18400, how much money does he save every month?
3864
3500
11870
11875
Explanation:
Let’s say Gaurav’s monthly income is Rs.100
Gaurav spends 30 Rs. on food, remaining Rs. = 100 - 30 = Rs. 70
Spending on conveyance and clothes = 40% of 70 = (40/100) x 70 = Rs. 28
Remaining Rs. = 70 - 28 = Rs. 42
Saving = 50% of 42 = (50/100) x 42 =Rs. 21
Applying unitary method now,
If monthly income is 100 Rs. then saving is Rs.21 Rs.
If monthly income is 1 Rs. then saving = (21/100) Rs.
If monthly income is 18400 then saving = (21/100) x 18400
Therefore, Gaurav’s monthly saving = 21 x 184 = Rs.3864
Let’s say Gaurav’s monthly income is Rs.100
Gaurav spends 30 Rs. on food, remaining Rs. = 100 - 30 = Rs. 70
Spending on conveyance and clothes = 40% of 70 = (40/100) x 70 = Rs. 28
Remaining Rs. = 70 - 28 = Rs. 42
Saving = 50% of 42 = (50/100) x 42 =Rs. 21
Applying unitary method now,
If monthly income is 100 Rs. then saving is Rs.21 Rs.
If monthly income is 1 Rs. then saving = (21/100) Rs.
If monthly income is 18400 then saving = (21/100) x 18400
Therefore, Gaurav’s monthly saving = 21 x 184 = Rs.3864
1289.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
588 apples
600 apples
672 apples
700 apples
Explanation:
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
$\dfrac{60}{100}x x = 420 $
=>x = $\dfrac{420 x 100}{60}$ = 700.
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
$\dfrac{60}{100}x x = 420 $
=>x = $\dfrac{420 x 100}{60}$ = 700.
1290.605 pencils were distributed equally among students of a class in such a way that the number of pencils received by each child is 20% of the total number of children. How many pencils did each child receive?
10
11
45
65
Explanation:
Total pencils=605.
Let total boys are =X each student is getting pencils 20% of the total number of students
=X*20/100
=X/5 it is also equal to 605/X
or 605/X=X/5.
X^2=605*5
X=55 therefore number of pencils each student get
= 605/55
=11 pencils
Total pencils=605.
Let total boys are =X each student is getting pencils 20% of the total number of students
=X*20/100
=X/5 it is also equal to 605/X
or 605/X=X/5.
X^2=605*5
X=55 therefore number of pencils each student get
= 605/55
=11 pencils
1291.In an examination, there are three papers and a candidate has to get 40% of the total to pass. In one paper he gets 62 out of 150 and in the second 35 out of 150. How much he get out of 180 in the third paper to qualify for a pass?
75
55
85
65
1292.The government has conducted a survey and which results 60% of the houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentageof all houses which contain exactly one female and no males?
95
105
10%
20%
1413.A student divided a number by 2/3 when he required to multiply by 3/2.
Calculate the percentage of error in his result.
Calculate the percentage of error in his result.
2%
3%
0%
1%
Explanation:
Since 3x / 2 = x / (2 / 3)
Since 3x / 2 = x / (2 / 3)
2758.If A = x% of y and B = y% of x, then which of the following is true?
A is smaller than B.
A is greater than B
Relationship between A and B cannot be determined.
None of these
Explanation:
$ x $% of $ y $=$\left(\dfrac{x}{100}\times y \right)$=$\left(\dfrac{y}{100}\times x \right)$
2759.The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
4.37%
5%
6%
8.75%
Explanation:
Increase in 10 years = (262500 - 175000) = 87500.
Increase% =$ \left(\dfrac{875 00}{175000} \times 100\right) $% = 50%.
$\therefore$ Required average =$ \left(\dfrac{50}{10} \right) $% = 5%.
2761.How many litres of pure acid are there in 8 litres of a 20% solution?
2 litres
1.4 litres
1 litres
1.6 litres
Explanation:
Quantity of pure acid =8×$\dfrac{20}{100}$=1.6
2765.Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Rs. 200
Rs. 250
Rs. 300
None of these
Explanation:
Let the sum paid to Y per week be Rs. $ z $.
Then, $ z $ + 120% of $ z $ = 550.
$\Rightarrow z $ +$ \dfrac{120}{100} z $ = 550
$\Rightarrow \dfrac{11}{5} z $ = 550
$\Rightarrow z $ =$ \left(\dfrac{550 \times 5}{11} \right) $ = 250.
2767.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 ?
9%
10%
7%
6%
Explanation:
Actual price = Rs.25 + Rs.2.50 = Rs.27.5
Saving = Rs.2.5
Saving percent
=$\dfrac{2.5}{27.5}$×100=$\dfrac{250}{27.5}$=$\dfrac{2500}{275}$=$\dfrac{100}{11}$=9$\dfrac{1}{11}$% $\approx$ 9%
2768.A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
588 apples
600 apples
672 apples
700 apples
Explanation:
Suppose originally he had $ x $ apples.
Then, (100 - 40)% of $ x $ = 420.
$\Rightarrow \dfrac{60}{100} \times x $ = 420
$\Rightarrow x $ =$ \left(\dfrac{420 \times 100}{60} \right) $ = 700.
2769.If 20% of a = b, then b% of 20 is the same as:
4% of a
5% of a
20% of a
None of these
Explanation:
$20$% of$ a=b \implies \dfrac{20}{100}a=b.$
$\therefore b$% of 20$=\left(\dfrac{b}{100}\times 20\right)=\left(\dfrac{20}{100}a \times \dfrac{1}{100}\times 20\right)=\dfrac{4}{100}a=4 $% of a$ $