Percentages
Question 1 
John earns 33.33% more than Peter. By what percentage is Peter's earning less than that of John's?
22 %
 
25 %
 
26 %
 
23 %

Discuss it
Question 1 Explanation:
Let John's income be j and Peter's income be p. Then,
j = p + p × 33.33% = p + p × 100⁄3 % = p + p × 1/3 = 4p/3
⇒ p = 3j/4 = (4  1)j/4 = j  j/4 = j  j × 1/4 = j  j × 100⁄4 % = j  j × 25%.
Therefore, Peter's earning is less than John's earning by 25%.
Question 2 
Mary's salary is reduced by 10%. By what percentage must her new salary be increased in order to gain her old salary?
137⁄9 %  
194⁄9 %  
100/9 %
 
110⁄9 %

Discuss it
Question 2 Explanation:
Let her old salary be Rs 100. Then, her new salary = 100  10 = Rs 90.
So, to gain her old salary, her new salary must be increased by Rs 10. Therefore, the required percentage = (10⁄90) × 100% = 100/9 %.
Question 3 
The price of sugar is decreased by 10%. As a consequence, monthly sales is increased by 30%. Find out the percentage increase in monthly revenue.
17 %  
19 %  
18 %  
None of these 
Discuss it
Question 3 Explanation:
Let the price of sugar be Rs 100 and monthly sales be 100 units. Then,
total revenue = 100 × 100 = Rs 10000.
And, new revenue = 90 × 130 = Rs 11700.
Increase in revenue = 11700  10000 = Rs 1700.
Hence, percentage increase in revenue = (1700/10000) × 100% = 17%.
Question 4 
Jack consumes 75% of his salary. Later his salary is increased by 20% and he increases his expenditures by 10%. Find the percentage increase in his savings.
51%  
60%  
50%  
55% 
Discuss it
Question 4 Explanation:
Let Jack's original salary be Rs 100. Then,
his expenditure = Rs 75,
his savings = Rs 25.
Now, his new salary = Rs 120. So,
new expenditure = (110/100) × 75 = Rs 165/2,
new savings = 120  165/2 = Rs 75/2.
Increase in savings = 75/2  25 = Rs 25/2.
Therefore, percentage increase in savings = (25/2)/25 × 100% = 50%.
Question 5 
Mary buys an item at Rs 25 in a sale and saves Rs 5. Find out the percentage of her savings.
40/3 %  
55/3 %  
50/3 %  
None of these 
Discuss it
Question 5 Explanation:
Original Price of the item = 25 + 5 = Rs 30.
Hence, the required percentage = (5/30) × 100% = 50/3 %.
Question 6 
Barack spends Rs 6650 to buy some goods and gets a rebate of 6% on it. After this, he pays a sales tax of 10%. What is his total expenditure?
Rs 6870.10  
Rs 6876.10  
Rs 6865.10  
Rs 6776.10

Discuss it
Question 6 Explanation:
Rebate received by Barack = 6% of Rs 6650 = 6/100 × 6650 = 3/5 × 665 = Rs 399.
Sales Tax paid by Barack = 10% of Rs (6650399) = 10% of Rs 6251 = Rs 625.10.
Therefore, Barack's total expenditure = Rs (6251 + 625.10) = Rs 6876.10.
Question 7 
Felix spends 66.66% of his salary and saves Rs 1200 every month. Calculate his monthly expenditure in Rupees.
Rs 2402  
Rs 2400  
Rs 2401  
Rs 2405 
Discuss it
Question 7 Explanation:
Let Felix's monthly salary be Rs x. Then,
(100  66.66)% of x = Rs 1200
⇒ 33.33 % of x = Rs 1200
⇒ x/3 = Rs 1200
⇒ x = Rs 3600.
Therefore, his monthly expenditure = 3600  1200 = Rs 2400.
Question 8 
Jack and Robert appeared in an examination. Robert scored 9 marks less than Jack. Jack's score was 56% of the sum of their scores added together. Calculate their individual scores.
22 and 33  
41 and 35  
40 and 35  
42 and 33 
Discuss it
Question 8 Explanation:
Let Robert's score be x. Then, Jack's score = x+9.
Now, x+9 = 56% of [(x+9) + x]
⇒ x+9 = 14/25 × (2x + 9)
⇒ 25 × (x+9) = 14 × (2x+9)
⇒ 25x + 225 = 28x + 126
⇒ 3x = 99 ⇒ x = 33.
Therefore, Robert scored 33 marks and Jack scored 42 marks.
Question 9 
Ram spends 20% of is salary on food, 15 % of remaining on cloths, and 400 on entertainment. If his salary is 10000, how much he spends on food?
2000  
3000  
1500  
2500 
Discuss it
Question 9 Explanation:
10000*20/100 = 2000
Question 10 
Ram spends 20% of is salary on food, 15 % of remaining on cloths, and 400 on entertainment. If his salary is 10000, how much he spends on cloths?
1100  
1200  
1500  
1000 
Discuss it
Question 10 Explanation:
[10000(10000*20/100)]*15/100 = 1200
There are 16 questions to complete.