বিসিএস, ব্যাংক, প্রাথমিক শিক্ষক ও সকল সরকারি চাকরির বিগত সালের প্রশ্ন ও অধ্যায়ভিত্তিক নির্ভুল সমাধান
Given:
Time taken by both pipes together = (24 × 72) / (24 + 72)
Time taken by both pipes together = 1728 / 96 = 18 hours
∴ Time taken by both pipes to fill the tank is: 18 hours
Given:
The rates of filling by each pipe are:
ATQ,
1/x + 2/x + 4/x = 1/5
7/x = 1/5
x = 35 hours
∴ The time taken by Pipe A alone to fill the tank is: 35 hours
Given:
Compound Amount Formula:
Compound Amount = P × (1 + r)^n
Substitute the given values:
Compound Amount = 600 × (1 + 1/10)^2
Compound Amount = 600 × (11/10)^2
Compound Amount = 600 × (11/10) × (11/10) = 726
∴ Compound Amount = Tk. 726
প্রদত্ত:
আমরা জানি:
I = P × n × r
⇒ I = 800 × (9/12) × 0.125
⇒ I = 800 × 0.75 × 0.125 = 75
∴ সুদ: Tk. 75
Given:
Step 1: Remaining amount
Remaining = 10,000 - (2,000 + 4,000 + 1,400) = Tk. 2,600
Step 2: Interest from first three parts
Total known interest = 160 + 300 + 119 = Tk. 579
Step 3: Total required interest (average 8.13%)
Total interest = 10000 × 8.13% = Tk. 813
So, interest needed from remaining = 813 - 579 = Tk. 234
Step 4: Find rate on remaining Tk. 2,600
(2600 × r) / 100 = 234
⇒ 26r = 234
⇒ r = 234 / 26 = 9%
∴ Required rate of interest = 9%
Solution:
Here,
P = M
r = M%
I = M
n = 4
We know that,
I = Pnr
M = M × 4 × (M/100)
⇒ 1 = M/25
∴ M = 25
Given:
Step 1: Calculate Simple Interest (S.I.)
S.I. = 7200 - 6000 = Tk. 1200
Step 2: Use S.I. formula to find the rate:
S.I. = (P × R × T) / 100
1200 = (6000 × R × 4) / 100
⇒ 1200 = 240R
⇒ R = 1200 / 240 = 5%
Step 3: New rate = 1.5 × 5% = 7.5%
Step 4: Calculate new amount for 5 years at 7.5%
S.I. = (6000 × 7.5 × 5) / 100 = 2250
Amount = 6000 + 2250 = Tk. 8250
∴ Final Answer: Tk. 8250
