Percentage, Profit & Loss - SSC
A shopkeeper bought toffees at a rate of 10 for ₹15 and sold them at a rate of 16 for ₹40. Find his profit percentage. (correct to two decimal places?
- A.
65.05%
- B.
33.33%
- C.
50.55%
- D.
66.67%
Answer: Option D
Explanation :
Workspace:
A household appliances company offers two successive discounts of 20% and 35% on the sale of a food processor. What is the final sale price (in Rs, to the nearest rupee) of a food processor costing Rs 4580?
- A.
2519
- B.
2977
- C.
2382
- D.
3664
Answer: Option C
Explanation :
Workspace:
A person's salary was decreased by 50% and subsequently increased by 50%. By what much percent does his salary increase or decrease?
- A.
Decrease 18%
- B.
Increase 15%
- C.
Increase 20%
- D.
Decrease 25%
Answer: Option D
Explanation :
Workspace:
A vendor bought oranges at 5 for ₹15 and sold them at 3 for ₹5. Find his loss percent.
- A.
- B.
- C.
- D.
Answer: Option D
Explanation :
Oranges were bought at 5 for ₹15, hence cost price of 15 oranges will be Rs. 45
Oranges were sold at 3 for ₹5, hence 15 oranges will be sold for Rs. 25
∴ Loss = 45 - 25 = 20
∴ Loss % = 20/45 × 100% = 44(4/9)%
Hence, option (d).
Workspace:
A man spends 20% of his monthly salary on food and one-fourth of the remaining salary on charity. If he saves ₹9,600 per month, which is equal to half of the balance after spending on food and charity, then his monthly salary is:
- A.
₹28,000
- B.
₹32,000
- C.
₹26,000
- D.
₹30,000
Answer: Option B
Explanation :
Let the income be Rs. I
He spends 20% i.e., 1/5th on food.
∴ Amount remaining after food = 4I/5
He spends 1/4th of the remaining on charity
∴ Amount remaining after charity = 4I/5 × 3/4 = 3I/5
He saves half of this remaining amount
∴ 3I/10 = 9600
⇒ I = 32,000
Hence, option (b).
Workspace:
A washing machine is sold at a discount of 10% on its marked price. A further discount of 5% on the selling price is offered if a person makes the payment in cash. If the marked price of the machine is ₹54,000, how much will a customer paying in cash have to pay for purchasing it?
- A.
₹46,200
- B.
₹45,800
- C.
₹46,170
- D.
₹46,000
Answer: Option C
Explanation :
Price after 10% discount = 54,000 - 5,400 = 48,600
Price after further 5% discount = 48,600 - 2,430 = 46,170
Hence, option (c).
Workspace:
Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of ₹80.
- A.
₹76.60
- B.
₹72
- C.
₹72.20
- D.
₹74.40
Answer: Option C
Explanation :
Selling price after first 5% discount = 80 - 4 = 76
Selling price after second 5% discount = 76 - 3.8 = 72.2
Hence, option (c).
Workspace:
The price of a bike is ₹75,500. What will be the price of the bike after a reduction of 17%?
- A.
₹68,650
- B.
₹68,680
- C.
₹62,665
- D.
₹62,650
Answer: Option C
Explanation :
17% of the price of bike = 17/100 × 75,500 = 12,835
Final price of bike = 75,500 - 12,835 = 62,665
Hence, option (c).
Workspace:
A shopkeeper marks his articles at 30% above the cost price and allows the purchaser a discount of 20% for cash buying. What profit per cent does he make?
- A.
4%
- B.
9%
- C.
6%
- D.
5%
Answer: Option A
Explanation :
Let the cost price for shopkeeper be Rs. 100
Marked Price = Rs. 130
Selling price after 20% discount = 130 - 26 = 104
∴ Profit % = 4/100 × 100% = 4%.
Hence, option (a).
Workspace:
The tax on a commodity diminishes by 14% and its consumption increases by 10%. Find the effect on revenue.
- A.
Decreases by 9.5%
- B.
Decreases by 6.5%
- C.
Decreases by 5.4%
- D.
Decreases by 7.4%
Answer: Option C
Explanation :
Workspace:
40% of Ranita’s income is equal to 56% of Bhaskar’s income. If Ranita’s income was ₹800 more than what it is and Bhaskar’s income was ₹ 2,000 more than what it is, then the ratio of the incomes of Ranita and Bhaskar would have been 4 : 3. What is the actual combined income of Ranita and Bhaskar?
- A.
₹67,200
- B.
₹68,200
- C.
₹66,800
- D.
₹67,800
Answer: Option A
Explanation :
Let Ranita's income be R and that of Bhaskar be B.
Given, 40% of R = 56% of B
⇒ 0.4R = 0.56B
⇒ R : B = 0.56 : 0.4 = 56 : 40 = 7 : 5
∴ R = 7x and B = 5x
Now, given:
(R + 800) : (B + 2000) = 4 : 3
⇒ 3(7x + 800) = 4(5x + 2000)
⇒ 21x + 2400 = 20x + 8000
⇒ x = 5600
∴ Combined income of R and B = 7x + 5x = 12x = 12 × 5600 = Rs. 67,200
Hence, option (a).
Workspace:
A sells a car to B at a gain of 10% and B again sells it to C at a profit of 5%. If C pays ₹4,06,000 to B, what is the cost price of the car for A?
(Consider integral part only)
- A.
₹3,50,000
- B.
₹3,68,950
- C.
₹3,51,515
- D.
₹4,51,515
Answer: Option C
Explanation :
B sells the car for Rs. 4,06,000 at 5% profit.
B's cost price = 4,06,000/1.05
A sells the car for Rs. 4,06,000/1.05 at 10% profit.
A's cost price = 4,06,000/(1.05 × 1.1) = Rs. 3,51,515
Hence, option (c).
Workspace:
One dozen books quoted at ₹120 are available at 15% discount. How many books can be bought for ₹51?
- A.
8
- B.
5
- C.
6
- D.
7
Answer: Option C
Explanation :
12 books are available for Rs. 120 × 0.85 = Rs. 102.
∴ Number of books that can be bought for Rs. 51 = 6.
Hence, option (c).
Workspace:
By selling an article for ₹255, there is a loss of 15%. When the article is sold for ₹357, the net result in the transaction is:
- A.
19% profit
- B.
17% loss
- C.
19% loss
- D.
17% profit
Answer: Option A
Explanation :
Workspace:
The difference between a single discount of 20% and two successive discounts of 16% and 4% on a bill of ₹50,000 is:
- A.
₹450
- B.
₹240
- C.
₹320
- D.
nil
Answer: Option C
Explanation :
Workspace:
Kuldeep offers his customers a discount of 10% on the marked price of a suitcase and he still makes a profit of 20%. What is the actual cost of the suitcase marked for ₹2,500?
- A.
₹1,860
- B.
₹1,875
- C.
₹1,865
- D.
₹1,870
Answer: Option B
Explanation :
Workspace:
After spending 20% of his salary on grocery and 30% of the remainder on monthly house rent, a man is left with ₹8,400. What is his monthly salary?
- A.
₹42,000
- B.
₹28,000
- C.
₹16,800
- D.
₹15,000
Answer: Option D
Explanation :
Workspace:
Two numbers are less than a third number by 30% and 37% respectively. By how much is the second number lesser than the first?
- A.
3%
- B.
7%
- C.
4%
- D.
10%
Answer: Option D
Explanation :
Workspace:
Number B is 17.5% less than number A, while number C is 2b:5% more than number B. If the value of C is given as 8085, what is the value of A?
- A.
7800
- B.
7750
- C.
8000
- D.
8100
Answer: Option C
Explanation :
Workspace:
In a school, the final grades of a subject for an academic year are calculated, based on the grades that a student gets in his assignments, tests and a final exam. Assignments have the weightage of 28%, tests of 22%, and the final exam of 50%. If a student has an assignment grade of 80, a test grade of 75, an exam grade of 86, then his overall grade for the year is _________.
- A.
81.9
- B.
80.5
- C.
84.6
- D.
90.2
Answer: Option A
Explanation :
Workspace:
The marked price of an article is 30% more than the cost price. A discount of 15% is offered on the marked price. By what percentage is the final price more than the cost price?
- A.
10.5%
- B.
15.5%
- C.
19.5%
- D.
8.5%
Answer: Option A
Explanation :
Workspace:
The population of a city increased by 5%, 2% and 6% in the first, second and third year, respectively. At the end of the third year, the population became 56,763. Find the initial population of the city.
- A.
53000
- B.
51000
- C.
52000
- D.
50000
Answer: Option D
Explanation :
Workspace:
The population of a city is 225000. If the annual birth rate and death rates are 4.5% and 2.5%, respectively, calculate the increase in the population of the city after 2 years.
- A.
9099
- B.
909
- C.
9909
- D.
9009
Answer: Option B
Explanation :
Workspace:
If two successive discounts of 10% and 5%, are given, then what will be the net discount percentage?
- A.
12.5%
- B.
15.5%
- C.
14.5%
- D.
16.5%
Answer: Option C
Explanation :
Workspace:
When payment is made online, the discount offered is 20%. Additional discount of 8% is given to ABC credit card holders. Sandeep buys a laptop of ₹35,000 by paying online and pays through his ABC credit card. How much does he need to pay?
- A.
₹25,750
- B.
₹25,760
- C.
₹25,770
- D.
₹25,740
Answer: Option B
Explanation :
Workspace: