PE 1 - Percentage | Percentage, Profit & Loss
Shweta invested Rs. 10,000 in a scheme exactly three years ago. The value of the investment increased by 10% during the first year, increased by 20% during the second year, and decreased by 10% during the third year. What is the value of the investment today?
- A.
Rs. 11,500
- B.
Rs. 11,880
- C.
Rs. 12,000
- D.
Rs. 11,650
Answer: Option B
Explanation :
Value after 1 year = 10000 × 1.1 = Rs. 11000
Value after 2 years = 11000 × 1.2 = Rs. 13200
Value after 3 years = 13200 × 0.9 = Rs. 11880
Hence, option (b).
Workspace:
Rajeev buys good worth Rs. 6500. He gets a rebate of 6% on it. After getting the rebate, he pay sales tax @ 10%. Find the amount he will have to pay for the goods?
- A.
Rs. 6721
- B.
Rs. 6999
- C.
Rs. 6654
- D.
Rs. 7000
Answer: Option A
Explanation :
Initial Price = Rs. 6500
6% rebate = 6% of 6500 = Rs. 390
Price after rebate of 6% = 6500 – 390 = Rs. 6110
10% tax = 10% of 6110 = Rs. 611
Price after tax of 10% = 6110 + 611 = Rs. 6721
Hence, option (a).
Workspace:
Aditya's salary was increased by 50% and then decreased by 20%. Find out net effect in Aditya’s salary.
- A.
25% increase
- B.
30% increase
- C.
20% increase
- D.
15% increase
Answer: Option C
Explanation :
Net change = 50 - 20 + = 30 - 10 = 20%
Hence, option (c).
Workspace:
In an examination it is required to get 40% of the aggregate marks to pass Rishu got 252 marks and failed by 5% marks then what was the total marks?
- A.
650
- B.
720
- C.
820
- D.
710
Answer: Option B
Explanation :
Pass % is 40% while Rishu failed by 5%, hence Rishu scored 35% of total marks.
⇒ 35% of Total Marks = 252
⇒ Total marks = 252/0.35 = 720
Hence, option (b).
Workspace:
Three candidates contested an election and received 2625, 3675 and 4200 votes respectively. What percentage of the total votes did the winning candidate get?
- A.
55%
- B.
40%
- C.
25%
- D.
35%
Answer: Option B
Explanation :
% votes received by winning candidate = × 100% = × 100% = 40%
Hence, option (a).
Workspace:
The price of Petrol went up 25%. In order to keep expenses same Ram must reduce travel by:
- A.
25%
- B.
20%
- C.
33.33%
- D.
16.67%
Answer: Option B
Explanation :
Price of petrol becomes = times, hence the travel should become 5/6 times.
∴ Travel reduces by × 100 = 20%
Hence, option (b).
Workspace:
The length and breadth of a rectangle field are increased, the area increased by 50%. If the length increased by 20%, by what percentage was breadth increased?
- A.
25%
- B.
30%
- C.
20%
- D.
Data Insufficienct
Answer: Option A
Explanation :
Length becomes = times.
Area becomes = times.
∴ Area = Length × Breadth
⇒ = × Breadth
⇒ Breadth becomes 5/4 times.
∴ Breadth increases by × 100% = 25%
Hence, option (a).
Workspace:
Aditya's salary is 80% of Amit's salary and 120% of Rajiv's salary. What is Amit's salary if Rajiv's salary is 30,000?
- A.
40000
- B.
45000
- C.
50000
- D.
55000
Answer: Option B
Explanation :
Aditya’s salary = 120% of Rajiv’s salary
⇒ Aditya’s salary = 120% of 30,000 = 36,000
Aditya’s salary = 80% of Amit’s salary
⇒ Amit’s salary = 36,000/0.8 = 45,000
.
Hence, option (b).
Workspace:
In a class 60% of the students pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in both subjects, what percentage of the student fails in both subjects?
- A.
80%
- B.
20%
- C.
25%
- D.
75%
Answer: Option B
Explanation :
H ∪ S = H + S – H ∩ S
⇒ H ∪ S = 60 + 45 – 25 = 80%
∴ 80% students pass in at least one of Hindi or Sanskrit.
⇒ 20% students failed in both the subjects.
Hence, option (b).
Workspace:
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