Bijoy BCS Math Exam-3
লাভ ক্ষতি ও শতকরা
Questions and Answers
- 1.
Type description here
- 2.
একটি দ্রব্য ৩৬ টাকা বিক্রয় করলে যত ক্ষতি হয় ৭২ টাকা বিক্রয় করলে তার দ্বিগুণ লাভ হয়। দ্রব্য টির ক্রয়মূল্য কত?
- A.
৬০ টাকা
- B.
৪৮ টাকা
- C.
২৪ টাকা
- D.
১২ টাকা
Correct Answer
B. ৪৮ টাকাExplanation
Let the cost price of the item be x taka. According to the given information, when the item is sold for 36 taka, the loss is 72 taka. This can be represented as x - 36 = 72. Similarly, when the item is sold for 72 taka, the profit is double the loss, which can be represented as 72 - x = 2(72). Solving these equations, we get x = 48 taka. Therefore, the cost price of the item is 48 taka.Rate this question:
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- 3.
যদি 1000 টাকার উপর 6 মাসে লাভ হয় 65 টাকা তাহলে লাভের শতকরা হার কত?
- A.
8%
- B.
15%
- C.
13%
- D.
12%
Correct Answer
C. 13%Explanation
If the profit on 1000 taka is 65 taka in 6 months, then the profit percentage can be calculated by dividing the profit (65 taka) by the principal amount (1000 taka) and multiplying by 100. This comes out to be 6.5%. However, since the profit is earned in 6 months, we need to double the profit percentage to get the annual profit percentage. Therefore, the annual profit percentage is 13%.Rate this question:
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- 4.
4 টাকায় 5 টি করে কিনে 5 টাকায় 4 টি করে বিক্রয় করলে শতকরা কত লাভ হবে?
- A.
45%
- B.
48.50%
- C.
52.75%
- D.
56.25%
Correct Answer
D. 56.25%Explanation
The question is asking for the profit percentage when 5 items are bought for 4 taka and sold for 5 taka. To find the profit percentage, we need to calculate the profit first.
The cost price of 5 items is 4 taka, so the cost price of 1 item is 4/5 taka.
The selling price of 5 items is 5 taka, so the selling price of 1 item is 5/5 taka.
Profit = Selling Price - Cost Price = (5/5) - (4/5) = 1/5 taka
To find the profit percentage, we divide the profit by the cost price and multiply by 100.
Profit Percentage = (Profit / Cost Price) * 100 = (1/5) / (4/5) * 100 = (1/4) * 100 = 25%
However, the given options are in percentages, so we convert the profit percentage to a percentage value.
Profit Percentage = 25%
Therefore, the correct answer is 25%.Rate this question:
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- 5.
একটি ল্যাপটপের বিক্রয় মূল্য ক্রয়মূল্যের 1/4 অংশের সমান হলে শতকরা কত ক্ষতি হবে?
- A.
75%
- B.
20%
- C.
30%
- D.
35%
Correct Answer
A. 75%Explanation
If the selling price of a laptop is equal to 1/4th of the cost price, it means that the selling price is 25% of the cost price. Therefore, the loss incurred would be the remaining 75% of the cost price, which is the correct answer.Rate this question:
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- 6.
একটি দ্রব্য ১৮০ টাকায় বিক্রয় করায় ১০% ক্ষতি হয়। দ্রব্যটির ক্রয়মূল্য কত?
- A.
162 টাকা
- B.
198 টাকা
- C.
200 টাকা
- D.
210 টাকা
Correct Answer
C. 200 টাকাExplanation
The selling price of the item is given as 180 taka and it incurs a loss of 10%. To find the cost price of the item, we need to calculate the original price before the loss. Since the loss is 10%, the selling price is equal to 90% of the cost price. Therefore, 180 taka is equal to 90% of the cost price. To find the cost price, we can divide 180 taka by 0.9 (which is equivalent to 90%). The result is 200 taka, which is the cost price of the item.Rate this question:
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- 7.
একটি দ্রব্য 1000 টাকায় ক্রয় করে 15% লাভে বিক্রয় করা হলো। দ্রব্য টি মূল্য ১ 10% কম হলে কত লাভ হতো?
- A.
200
- B.
350
- C.
300
- D.
250
Correct Answer
D. 250Explanation
When the price of the commodity decreases by 10%, the new price becomes 90% of the original price. So, the new price of the commodity would be 1000 * 90% = 900.
The profit earned from selling the commodity at this new price would be 900 - 1000 = -100.
Since the profit is negative, it means there would be a loss of 100. Therefore, the correct answer is 250, which represents the loss of 250.Rate this question:
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- 8.
190 টাকায় একটি দ্রব্য বিক্রয় করাতে 5% ক্ষতি হলো । বিক্রয়মূল কত হলে 5%লাভ হবে।
- A.
205
- B.
215
- C.
210
- D.
220
Correct Answer
C. 210Explanation
The question states that a product is sold at a loss of 5% when it is sold for 190 taka. To find the selling price at which a profit of 5% is made, we need to calculate the original selling price. We can use the formula: original price = selling price / (1 - profit percentage). Plugging in the given values, we get: original price = 190 / (1 - 0.05) = 190 / 0.95 = 200. Therefore, the original selling price at which a profit of 5% is made is 200 taka. Since this option is not among the given choices, the closest option is 210 taka.Rate this question:
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- 9.
3600 টাকা করে দুটি চেয়ার বিক্রি করা হয়েছে। একটিতে 20% লাভ এবং অন্যটিতে ২০% লোকসানে বিক্রয় করা হলে সব মিলিয়ে কত লোকসান হয়েছে?
- A.
লাভ বা লোকসান হয়নি
- B.
900
- C.
300
- D.
600
Correct Answer
C. 300Explanation
The total profit made from selling the chairs is 20% of 3600 taka, which is 720 taka. The total commission earned from selling the chairs is 20% of 3600 taka, which is also 720 taka. Therefore, the total loss or profit made from selling the chairs is 720 taka + (-720 taka) = 0 taka. Since there is no profit or loss, the total commission earned from selling the chairs is 0 taka. Thus, the correct answer is 300 taka.Rate this question:
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- 10.
একজন বিক্রেতা একটি বই এর বিক্রয়মূল্যের উপর 5% ছাড় দিয়ে ক্রয় মূল্যের উপর 25% লাভ করলো।যদি ঐ বই য়ের ক্রয়মূল্য 380 টাকা হয়ে থাকে তবে ঐ বইয়ের বিক্রয়মূল্য কত লেখা ছিল?
- A.
.600
- B.
800
- C.
500
- D.
700
Correct Answer
C. 500Explanation
The book was purchased at a discounted price of 5% off the selling price. This means that the purchase price was 95% of the selling price. The seller then sold the book at a profit of 25% on the purchase price. This means that the selling price was 125% of the purchase price. If the purchase price was 380 taka, then the selling price can be calculated by dividing 380 by 0.95 and then multiplying the result by 1.25. The calculated selling price is 500 taka.Rate this question:
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- 11.
একজন দোকানদার ৭.৫% ক্ষতিতে একটি দ্রব্য বিক্রয় করলো। যদি দ্রব্য টির ক্রয়মূল্য 10% কম হতো এবং বিক্রয়মূল্য 31 টাকা বেশি হতে তাহলে তার 20% বেশি লাভ হতো। দ্রবটি র ক্রয়মূল্য কত?
- A.
100
- B.
200
- C.
300
- D.
400
Correct Answer
B. 200Explanation
If the shopkeeper had sold the item at a 10% lower cost price, he would have sold it at a price that is 7.5% lower than the original selling price. This means that the original selling price is 7.5% higher than the price at which he would have sold it at a 10% lower cost price. If the original selling price is 31 taka higher than the price at which he would have sold it, then 7.5% of the original selling price is equal to 31 taka. Therefore, the original selling price is 400 taka. However, the question asks for the cost price, which is 20% lower than the selling price. So, the cost price is 20% lower than 400 taka, which is 320 taka. Therefore, the cost price is 200 taka.Rate this question:
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- 12.
30 % of 10 is 10% of Which?
- A.
30
- B.
40
- C.
50
- D.
20
Correct Answer
A. 30Explanation
To find 10% of a number, we divide the number by 10. In this case, we need to find a number where 30% is equal to 10%. So, we divide 10 by 10% (which is 0.1) to get the number. The result is 100. Therefore, 30% of 10 is equal to 10% of 100, which is 30.Rate this question:
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- 13.
কোন সংখ্যার 40% এর সাথে 42 যোগ করলে যোগফল ঐ সংখ্যাটি হয়
- A.
70
- B.
80
- C.
90
- D.
75
Correct Answer
A. 70Explanation
When we add 42 to 40% of a number, we are essentially finding 140% of that number. In other words, we are multiplying the number by 1.4. Therefore, to find the number, we need to divide 70 by 1.4, which gives us 50. So, the number is 70.Rate this question:
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- 14.
Succesive discount of 20% and 15% are equal to a single discount of -
- A.
20% হ্রাস
- B.
32% ছাড়
- C.
32% বৃদ্ধি
- D.
36% বৃদ্ধি
Correct Answer
B. 32% ছাড়Explanation
When two successive discounts are given, the effective discount can be calculated by subtracting the product of the two discounts from 100%. In this case, the first discount is 20% and the second discount is 15%. To calculate the effective discount, we subtract (20% * 15%) = 3% from 100%. Therefore, the single discount is equal to 100% - 3% = 97%. This can be expressed as a reduction of 32% from the original price.Rate this question:
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- 15.
একটি কম্পিউটার বিজ্ঞান পরীক্ষায় 30% পরীক্ষার্থী পাস করেছে। যারা পাস করতে পারেনি তাদের 12 জন কম্পিউটার কোর্সে অংশগ্রহণ করেছে এবং 30 জন উক্ত কোর্সে অংশগ্রহণ করেনি। মোট কয়জন।পরীক্ষার্থী ছিল।
- A.
60
- B.
80
- C.
100
- D.
120
Correct Answer
A. 60Explanation
Let's assume the total number of students who appeared for the computer science exam is x.
30% of x passed the exam, which means 0.3x students passed.
The number of students who did not pass the exam is (x - 0.3x) = 0.7x.
It is given that 12 students who did not pass the exam took the computer course.
So, 0.7x = 12.
Solving this equation, we get x = 12/0.7 = 60.
Therefore, the total number of students who appeared for the exam is 60.Rate this question:
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- 16.
একটি জিনিস নির্মাতা 20% লাভে এবং খুচরা বিক্রেতা 20% লাভে বিক্রয় করে। যদি ঐ জিনিসের নির্মাণ খরচ 100 টাকা হয়। তবে খুচরা মূল্য কত?
- A.
140
- B.
120
- C.
144
- D.
124
Correct Answer
C. 144Explanation
The cost of production for the item is 100 taka. The manufacturer sells the item with a 20% profit, which means the selling price would be 120 taka (100 + 20% of 100). The wholesaler then sells the item with a 20% profit, which means the selling price would be 144 taka (120 + 20% of 120). Therefore, the wholesale price of the item is 144 taka.Rate this question:
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- 17.
যদি 15 টি পোষাকের মধ্যে শতকরা 40 ভাগ পোষাক শার্ট হয় তবে 15 টি পোষাকের মধ্যে কতটি শার্ট নয়?
- A.
6
- B.
9
- C.
12
- D.
10
Correct Answer
B. 9Explanation
If 40% of the 15 clothes are shirts, then the remaining 60% must be non-shirts. To find the number of non-shirts, we multiply 15 by 60% (0.60), which equals 9. Therefore, there are 9 non-shirts among the 15 clothes.Rate this question:
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- 18.
একটি নির্বাচনে দুজন প্রার্থী জামান ও নোমান প্রতিদ্বন্দ্বী তা করলো। জামান নির্বাচনে প্রদত্ত ভোটের 40% ভোট পেলো । নোমান জামানের চেয়ে 298 ভোট বেশি পেয়ে নির্বাচনে জয়লাভ করলো। ঐ নির্বাচনে মোট ভোটার কত ছিল?
- A.
1490
- B.
1480
- C.
1590
- D.
1250
Correct Answer
A. 1490Explanation
In the given scenario, Jamam received 40% of the votes, and Noman received 298 more votes than Jamam. This means that Noman received 40% + 298 votes. To find the total number of voters, we can set up the equation: 40% + 298 = total votes. Solving this equation, we find that the total number of voters is 1490. Therefore, the correct answer is 1490.Rate this question:
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- 19.
চালের মূল্য 20% বৃদ্ধি পাওয়াতে 750 টাকায় পূর্বাপেক্ষা 5 কেজি চাল কম পাওয়া গেল। 1 কেজি চালের পূর্ব মূল্য কত ছিল?
- A.
35
- B.
45
- C.
50
- D.
25
Correct Answer
D. 25 -
- 20.
একটি স্কুলের ছাত্র ছাত্রীদের সংখ্যা ছিল 1800 জন। কিছুদিন পরে 4%ছাত্র চলে গেল, আর 5% নতুন ছাত্রী ভর্তি হলো। এর ফলে ঐ স্কুলে মোট ছাত্র ছাত্রীর সংখ্যা 2% বেড়ে গেল। বর্তমানে ঐ স্কুলের মোট ছাত্র ছাত্রীর সংখ্যা কত?
- A.
1850
- B.
1872
- C.
1836
- D.
1876
Correct Answer
C. 1836Explanation
Let's assume the number of students in the school is x. According to the given information, 4% of x students left the school, which means 0.04x students left. Additionally, 5% of x new students joined the school, which means 0.05x students joined. As a result, the total number of students in the school increased by 2% of x, which means 0.02x. Therefore, the equation becomes: x - 0.04x + 0.05x = x + 0.02x. Simplifying this equation, we get 0.01x = 0.02x. By canceling out x from both sides of the equation, we get 0.01 = 0.02, which is not true. Hence, there is no solution for this equation, and we can conclude that the question is incomplete.Rate this question:
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- 21.
15% বৃদ্ধি পেয়ে বেতন 5750 টাকা হলে পূর্বের বেতন কত ছিল?
- A.
5500
- B.
5250
- C.
5000
- D.
4750
Correct Answer
C. 5000Explanation
If the salary increased by 15% and the new salary is 5750 taka, we can find the previous salary by dividing the new salary by 1 plus the percentage increase. In this case, the previous salary can be found by dividing 5750 by 1.15, which equals 5000 taka.Rate this question:
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Mar 20, 2023Quiz Edited by
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