A man bought some sugar and salt for Tk. 440. The ratio of the weights of sugar and salt is 5 : 2, and the price per unit weight of sugar and salt is in the ratio 6 : 7. What is the price of the total sugar?
A
Tk. 280
B
Tk. 300
C
Tk. 320
D
Tk. 340
উত্তরের বিবরণ
Question: A man bought some sugar and salt for Tk. 440. The
ratio of the weights of sugar and salt is 5 : 2, and the price per unit weight
of sugar and salt is in the ratio 6 : 7. What is the price of the total sugar?
Solution:
Given,
Weight ratio (Sugar : Salt) = 5 : 2
Price ratio per unit weight (Sugar : Salt) = 6 : 7
Total price ratio of sugar and salt = (Weight × Price per unit)
= 5 × 6 : 2 × 7
= 30 : 14
= 15 : 7
Total units = 15 + 7 = 22 units
Accordint to the question,
22 units = Tk. 440
⇒
1 unit = 440/22
∴
1 unit= Tk. 20
∴ Price of total sugar = 15 × 20
= Tk. 300
0
Updated: 1 month ago
In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. What is the ratio of the capitals of A and D?
Created: 1 month ago
A
5 : 9
B
12 : 17
C
11 : 15
D
20 : 9
Question: In a business, the ratio of the capitals of A and
B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. What is the
ratio of the capitals of A and D?
Solution:
Given,
A : B = 2 : 1 ⇒ A/B = 2/1
B : C = 4 : 3 ⇒ B/C = 4/3
D : C = 6 : 5 ⇒ C/D = 5/6
Now, A/D = (A/B) × (B/C) × (C/D)
= (2/1) × (4/3) × (5/6)
= 20/9
∴ A/D = 20 : 9
0
Updated: 1 month ago
In how many years will Tk. 750 amount to Tk. 900 at 4% simple interest per annum?
Created: 1 month ago
A
3.5 years
B
3 years
C
4.5 years
D
5 years
Question: In how many years will Tk. 750 amount to Tk. 900
at 4% simple interest per annum?
Solution:
Simple Interest = Amount - Principal
= 900 - 750
= 150
Here,
Principal, P = 750
Interest Rate, R = 4%
SI = 150
Time, T = ?
SI = PRT/100
⇒ T = (SI × 100)/(P × R)
= (150 × 100)/(750 × 4)
= 15000/3000
= 5 years
0
Updated: 1 month ago
What is the compound amount of Tk. 3200 for 2 years at a rate of interest 5% per annum?
Created: 1 month ago
A
Tk. 3500
B
Tk. 3528
C
Tk. 3640
D
Tk. 3568
Question: What is the compound amount of Tk. 3200 for 2
years at a rate of interest 5% per annum?
Solution:
Given,
Principal, P = 3200
Rate, r = 5% = 5/100 = 1/20
Time, n = 2 years
We know,
A = P(1 + r)n
= 3200 × (1 + 1/20)2
= 3200 × (21/20)2
= (3200 × 21 × 21) / (20 × 20)
= (3200 × 441) / 400
= 1411200 / 400
= 3528
∴ The compound amount is Tk. 3528.
0
Updated: 1 month ago
