২২৭৪১
By investing Tk. 1,00,000 in six months, a man earns Tk. 1500 as profit as profit.What is the rate of interest earned?
উত্তর
3%
সমাধান
We know, interest, I = P n r
Here, n = 6/12 = 0.5 year
Now, I = P n r
or, 1500 = 100000 × 0.5 × r
or, r = 1500 / (100000×0.5)×100% = 3%
২২৭৪২
A man pays 5% this annual income as tax. If he paid Tk. 600 as tax last year, what was his annual income?
উত্তর
Tk. 12,000
সমাধান
Let the annual income be X.
Then, 5% of X = 600
or, 5/100 of X = 600
So, X = 600×100/5 = 12000 TK
২২৭৪৩
A shopkeeper sells 5 mangoes at a price he bought 4 mangoes. What percentage (%) of loss or gain?
উত্তর
20%
সমাধান
Let the price of 4 mangoes bought be X.
Price per mango bought = X/4
Price per mango sold = X/5
Loss = (X/4 - X/5) / (X/4) × 100% = (X/20) / (X/4) ×100% = 20%
২২৭৪৪
A clock slows down by one minute every 24 hours. how long will it take to slow down by one hour?
উত্তর
60 days
সমাধান
1 hour = 60 min
24 hour = 1 day
Clock slows down by 1 min in 1 day
So, clock slows down by 60 min in 60 days.
২২৭৪৫
A gas tank that is 1/3 full requires 6 gallons to make it 5/6 full. What is its full capacity?
উত্তর
12 gallons
সমাধান
1/3 x + 6 = 5/6 x
= > 6 = 1/2 x
∴x = 12
২২৭৪৬
Harun is twice as old as Jasim, who is three years older than Dina. If Harun's age is five times Dina's age, how old in years is Jasim?
উত্তর
5
সমাধান
Harun = H, Jasim = J, Dina = DH = 2J, J = 3+D, H = 5D2J = 5D2J = 5(J-3)2J = 5J-153J = 15J = 5Jasim is 5 years old. (Ans)
২২৭৪৭
How much interest will Tk. 2000 earn at an annul rate of 8% in one year if the interest is compounded every six months?
উত্তর
Tk. 163.20
সমাধান
Here, P = 2000 Tk; r = 0.08; n = 1 and m = 2
C = P(1 + r/m)n×m
= 2000(1 + .08/2)1×2
= Tk. 2163.20
Interest is (2163.20 - 2000) = Tk. 163.20
২২৭৪৮
If 3 is subtracted from a number, the result is 6 more than twice the number. The number is ---
উত্তর
-9
সমাধান
Let the number be X.
Then, X - 3 = 2X + 6
or, 2X - X = - 3 - 6
or, X = - 9
২২৭৪৯
If 40% of all women are voters, and 52% of the population is women, what percent of the population are women voters?
উত্তর
20.8
সমাধান
মনে করি, মোট জনসংখ্যা = 100 জন
Women দের সংখ্যা = 52 জন
Women দের ভোটার সংখ্যা = 52×(40/100)
= 20.8
২২৭৫০
If 8x+8y=64, what is the average of x and y?
উত্তর
4
সমাধান
x এবং y এর গড় অর্থাৎ (x + y)/2 এর মান বের করতে হবে ।
এখন, 8x + 8y = 64
= > 8 (x + y) = 64
= > 8(x + y)/16 = 64/16 [ 16 দ্বারা উভয় পক্ষকে ভাগ করে ]
= > (x + y)/2 = 4