ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ]

Question: If Profit = 25 Taka and Cost Price = 125 Taka, what is the profit percentage?

Solution: Here,
- Cost Price = 100 Tk
- Profit = 25 Tk

- Now, Cost Price is 125 and Profit is 25 Taka
- Cost Price is 1 Taka so the Profit is = 25/125 Taka
- Cost Price is 100 Taka so the Profit is = (25× 100)/ 125 Taka = 20%

Question: A man sells a watch for 960 Taka and loses 20%. What was the cost price?

Answer: Here, Given Selling Price = 960 Taka
- With Loss 20 % If,
The Selling Price is 80 Taka then Cost Price is =100 Taka
The Selling Price is 1 Taka then Cost Price is =100/80 Taka
The Selling Price is 960 Taka then Cost Price is = (100×960)/80 Taka = 1200 Taka

Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
 
Answer: Let Cost Price of each article be Taka 1
- Cost Price of x articles = x Taka
- Selling Price of x articles = 20 Taka
- Profit = (20 - x) Taka

x টাকায় লাভ হয় 20 - x টাকা
1 টাকায় লাভ হয় (20 - x)/ x টাকা
100 টাকায় লাভ হয়
   
প্রশ্নমতে,

100(20-x)=25x
125x=2000
∴x= 16

Question: If a shopkeeper buys eggs at Tk. 25 per quad (hali) and sells at Tk. 56 per 2 quads, how much profit percentage will he make?

Solution: The cost price of 1 quad of eggs = Tk. 25 
The cost price of 2 quads of eggs = Tk. 25 x 2 = Tk. 50

Again, the selling price of 2 quads of eggs = Tk. 56
Since the selling price is more than the cost price, there will be a profit.

Here, Profit = Tk. (56-50) = Tk. 6 
In Tk. 50, profit is = Tk. 6
In Tk 1 profit is = 6/50 Tk
In Tk 100 profit is = (6 ×100)/ 50= 12 Tk
∴ profit is 12%.

Question: The Ratio of the cost price of a pencil and a pen is 3:7. The ratio of the selling price is 1:4. If the loss incurred is equal after selling both products, then what is the ratio of the cost price and selling price of a pen?

Answer: 
Let, cost price of a pencil = 3x
pen = 7x
Selling price of a pencil = y
pen = 4y
According to the question,
3x- y = 7x- 4y
→ 4y-y =7x -3x
→ 3 y = 4x
∴ y = 4/3 x

The ratio of the cost price of a pen: the selling price of a pen = 7x : 4 (4/3 x)  
= 21 : 16

Question: If a man gains 10% by selling a watch for Taka 660, find the cost price.

Answer: Selling Price = 110% of Cost Price
→ Cost Price = 660 ÷ 1.1 = 600

Another Method,
With 10% gain,
Selling Price is 110 Taka when Cost Price is 100 Taka
Selling Price is 1 Taka when Cost Price is 100/110 Taka
Selling Price is 660 Taka when Cost Price is (100×660)/110 Taka = 600 Taka

Question: If the selling price is doubled, the profit triples. Find the profit percent.

Answer:
Let, Cost price = x taka
Selling price = y taka
Then, 3(y-x) = 2y-x
→ 3y- 2y = 3x- x
→ y = 2x
Then, Profit = (y- x) Taka = (2x- x) Taka
= x Taka 
Profit percent =

= 100 %

Question: A shopkeeper marks an article 40% above the cost price and allows a discount of 10%. What is his profit percentage?

Answer:
Cost Price 100 Taka
Then Mark Price = 140, (40% above the cost price)

10% discount
If marked price is 100 then discount is 10 taka
If marked price is 1 then discount is 10/100 taka 
If marked price is 140 then discount is 140/10= 14 taka

Selling Price = 140 - 14 = 126,
As the Cost Price = 100
Then, the Profit percentage is = 26%

Question: Sarah sold her bicycle for Taka. 5000 while making a profit of Taka. 570. Then what is the price at which she bought that cycle?

Solution:
Given,
Selling Price (SP) = Taka. 5000
Profit = 570 Taka
Thus, Cost Price = Selling Price - Profit
⇒ Cost Price = 5000 - 570
⇒ Cost Price = 4430 Taka
Thus, cost price of the bicycle is Taka 4430

Question: A vendor purchased 200 books for Taka 150 each and sold them for Taka 200 each. Calculate the total profit.

Solution:
Cost Price of 200 books = 200 × Taka 150 = Taka 30,000
Selling Price of 200 books = 200 × Taka 200 = Taka 40,000
Total Profit = Selling Price - Cost Price = Taka 40,000 - Taka 30,000 = Taka 10,000

Question: A retailer marked the price of a television at Taka 8000 and gave a discount of 15%. Calculate the selling price and the amount of discount.

Solution:

Marked Price of the television = Taka 8000
Discount Percentage = 15%
Discount Amount = Discount Percentage × Marked Price = 15% × Taka 8000 = Taka 1200
Selling Price = Marked Price - Discount Amount = Taka 8000 - Taka 1200 = Taka 6800

Question: A bookstore purchased 120 textbooks for Taka 250 each and sold them at a profit of 15%. Calculate the total profit.

Solution:
Cost Price of 120 textbooks = 120 × Taka 250 = Taka 3,0000
Profit Percentage = 15%
Profit Amount = Profit Percentage × Cost Price = 15% × Taka 3,0000 = Taka 4500
Total Profit = Profit Amount = 4500

Question: A man sold his watch at a loss of 5 %. Had he sold it for Tk 56.25 more he would have gained 10%. What was the cost of the watch?

Solution:
Let, the price of watch x taka
According to the question,
x(100% - 5%) + 56.25 = x(100% + 10 %)
→ 95%x + 56.25 = 110% x
→ 15%x = 56.25
→ x = (5625/15)
→ x = 375 taka

Question: A bicycle is bought for Taka 200 and sold at a loss of 10%. Calculate the selling price and the amount of loss incurred.

Solution:
Cost Price of the bicycle = Taka 200
Loss Percentage = 10%
Loss Amount = Loss Percentage × Cost Price = 10% × Taka 200 = Taka 20
Selling Price = Cost Price - Loss Amount = Taka 200 - Taka 20 = Taka 180

Question: Jalal bought a mobile phone for Taka. 8000 and then sold it at a loss of Taka. 1200. What was the selling price of the mobile phone?

Answer:
Given,
Cost Price (CP) = 8000 Taka
Loss = 1200 Taka
Using Formula
Selling Price (SP) = Cost Price - Loss
⇒ Selling Price (SP) = Taka. 8000 - Taka. 1200
⇒ Selling Price (SP) = Taka. 6800
Therefore, selling price of the mobile phone is Taka. 6800.