How much water should be added to 80 liters of pure milk to gain extra 20% profit when selling the mixture at the price of pure milk?
A
6 liters
B
12 liters
C
8 liters
D
16 liters
উত্তরের বিবরণ
Question: How much water should be added to 80 liters of pure milk to gain extra 20% profit when selling the mixture at the price of pure milk?
Solution:
Let’s assume,
Price of pure milk per liter = 100 Taka
So, the price of 50 liters of pure milk = 100 × 80 = 8000 Taka
Now assume,
Water added to the milk = x liters
Then the total quantity of the milk-water mixture = (80 + x) liters
Since the mixture is sold at the price of pure milk,
The selling price of (80 + x) liters = 100(80 + x) Taka
According to the question,
100(80 + x) = 8000 + 8000 of 20%
⇒ 8000 + 100x = 8000 + {8000 × (20/100)}
⇒ 8000 + 100x = 8000 + 1600
⇒ 8000 - 8000 + 100x = 1600
⇒ 100x = 1600
⇒ x = 1600/100
⇒ x = 16
∴ Amount of water to be added = 16 liters
0
Updated: 1 day ago
How many years will Tk. 1500 need at 4% simple interest to earn the same interest as Tk. 2000 earns in 3 years at 5% simple interest?
Created: 1 month ago
A
4 years
B
5 years
C
6 years
D
8 years
Solution:
Interest from Tk. 2000 in 3 years at 5%:
SI = (P × R × T)/100
= (2000 × 5 × 3)/100
= 300 Tk.
Now,
Tk. 1500 to Produce the Same Interest (Tk. 300) at 4%:
Principal, P = Tk. 1500
Interest, SI = Tk. 300
Interest Rate, R = 4%
Time, T = ? years
SI = PRT/100
⇒ T = (SI × 100)/(P × R)
⇒ T = (300 × 100)/(1500 × 4)
⇒ T = 30000/6000
∴ T = 5 years
0
Updated: 1 month ago
A fighter jet covers a certain distance at a speed of 1200 km/h in 5 hours. What speed must it maintain to cover the same distance in 250 minutes?
Created: 1 day ago
A
1220 km/h
B
1440 km/h
C
1650 km/h
D
1050 km/h
Question: A fighter jet covers a certain distance at a speed of 1200 km/h in 5 hours. What speed must it maintain to cover the same distance in 250 minutes?
Solution:
Total distance = Speed × Time
= (1200 × 5) km
= 6000 km
Given time = 250 minutes = (250/60) hours= 25/6 hours
∴ Required speed = Distance/Time
= {6000/(25/6)} km/h
= {6000 × (6/25)} km/h
= (240 × 6) km/h
= 1440 km/h
0
Updated: 1 day ago
সরল সুদের হার শতকরা কত টাকা হলে যে কোনো মূলধন ৮ বছরে সুদে-আসলে তিনগুণ হবে?
Created: 4 months ago
A
১২.৫০ টাকা
B
২০ টাকা
C
২৫ টাকা
D
১৫ টাকা
প্রশ্ন: সরল সুদের হার শতকরা কত টাকা হলে যে কোনো মূলধন ৮ বছরে সুদে-আসলে তিনগুণ হবে?
সমাধান:
ধরি,
আসল P = ১০০ টাকা
সুদাসল A =১০০ × ৩ = ৩০০টাকা
সুদ I =(৩০০ - ১০০) টাকা = ২০০টাকা
আমরা জানি
I = Pnr
r = I/Pn
সুদের হার r = (১০০ × ২০০)/(১০০ × ৮)
= ২৫%
0
Updated: 4 months ago
