Question:
Amit started a shop by investing ₹5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
Amit started a shop by investing ₹5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
Updated On: Aug 18, 2025
- 12%
- 17%
- 19%
- 15%
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Let's calculate Amit's total profit percentage over the three years.
Initial Investment: ₹5,00,000
- First Year: A loss of 5% implies that the remaining balance is 95% of the initial amount.
Calculation:
A1=(1-0.05)×₹5,00,000=₹4,75,000 - Second Year: A profit of 10% on ₹4,75,000.
Calculation:
A2=(1+0.10)×₹4,75,000=₹5,22,500 - Third Year: A profit of 12% on ₹5,22,500.
Calculation:
A3=(1+0.12)×₹5,22,500=₹5,85,200
Overall Profit Calculation:
Ptotal=A3-InitialInitial×100=₹5,85,200-₹5,00,000₹5,00,000×100=17%
The overall percentage profit is 17%.
Was this answer helpful?
0
0
Top Questions on Profit and Loss
- Two bikes were sold for a total of Rs.1,50,000. One bike was sold at \(33\frac{1}{3}\)% loss and the other at 20% profit. The cost price of the first bike is equal to the selling price of the other bike. Find the overall loss.
- CUET (PG) - 2025
- General Management
- Profit and Loss
- A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
- CUET (PG) - 2025
- General
- Profit and Loss
- A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be:
- CUET (PG) - 2025
- General
- Profit and Loss
- What will be the profit percentage on selling an article at a certain price if there is 30% loss on selling the article at \(\frac{4}{5}\) of the selling price?
- CUET (PG) - 2025
- General Management
- Profit and Loss
- A shopkeeper makes a profit of 17% by giving a discount of 22% on the marked price of an article. But with a view to gain more profit, he reduces the discount to 18% and makes a higher profit. How much is the difference in his profit percentage with this reduction in discount?
- MAT - 2025
- Mathematics
- Profit and Loss
View More Questions
Questions Asked in AILET exam
- A wildfire has broken out in a large national park, spreading quickly due to dry conditions and strong winds. The forest officers only have a limited amount of firefighting resources, including helicopters, water trucks, and personnel. They must decide where to allocate these resources to save as much of the park as possible. To maximize their efforts, they prioritise the areas of the park that are home to endangered species and ecosystems that would be the hardest to recover if destroyed by the fire.
Which of the following most mirrors the principle in the passage above?
I. A university offers a limited number of scholarships each year. To ensure the best use of its funds, it prioritizes applicants from underprivileged backgrounds and those with academic potential, believing this will have the most significant long-term impact on the community.
II. A charitable foundation receives an influx of donations for disaster relief. In distributing the funds, it focuses on the hardest-hit communities where homes were completely destroyed, providing them with emergency shelter and rebuilding services before addressing other needs.
III. A large grocery store faces a major food supply shortage due to transportation issues. To minimize the impact on customers, the store decides to limit the sale of high-demand items like milk, bread, and meat, allowing each shopper to purchase only a small amount to ensure everyone can get basic supplies.
Select the correct option :- AILET BALLB (Hons.) - 2025
- Statements and Inferences
- Festivals in India are a vibrant reflection of its diverse culture, heritage andtraditions. Match the following festivals with the State with which its most frequently associated. While a festival may be celebrated in many states, select the most appropriate response from the noted options below.
\(S.no\) \(Festival\) \(S.no\) \(State\) I Kadalekayi Parishe A Gujarat II Bohag Bihu B Orissa III Uttarayan C Assam IV Nuakhai D Karnataka - AILET BALLB (Hons.) - 2025
- National Affairs
- All Cherry are Pink. Some Pink are made into cake. All cake is eaten. Banana is Pink. Examine the following statements:
I. Banana is a Cherry
II. Banana is not a Cherry
III. Banana may be made into cake
IV. Banana will definitely be made into a cake
V. If Banana is Cherry, then it will be eaten
Choose the most appropriate answer: - BCXHADBT is written as 23681422 in a certain code. How is KTLVPTBA written in that code?
- AILET BALLB (Hons.) - 2025
- Coding Decoding
- In education policy, the concept of inclusive education advocates for integrating students with disabilities into mainstream classrooms to promote diversity and equal opportunities. However, critics claim that focusing too much on inclusion can strain resources and may lead to a decline in educational quality for students both with and without disabilities.
Which of the following arguments would most strengthen the critics position?- AILET BALLB (Hons.) - 2025
- Statements and Arguments
View More Questions