২২৬৫১
Which one of the following fractions is the smallest?
উত্তর
2/9
সমাধান
2/9 = 0.22 [ smallest ]
5/8 = o. 6
1/2 = 0.5
7/12 = 0.5
২২৬৫২
If x% of 40 is y then 10x =?
উত্তর
25y
সমাধান
Here, x% of 40 = y
or, x/100 of 40 = y
or, x = y×100/40
or, 10x = 10×y×100/40
or, 10x = 25y
২২৬৫৩
if 1/2 of the money in a certain trust was invested in stocks, 1/4 in bonds, 1/5 in a mutual fund, and the remaining Tk. 10,000 ina government certificate, what was the total amount of the trust fund?
উত্তর
2,00,000
সমাধান
Portion invested in government certificate
= 1 - ( 1/2 + 1/4 + 1/5)
= 1 - ( 10 + 5 + 4) /20
= 20 - 19/20
= 1/20
1/20 portion = 10, 000
1 portion = 10, 000 ×20/1 = 2, 00, 000
২২৬৫৪
If the price of a dress is TK. 200 that includes 15% VAT, then what is the amount of VAT?
উত্তর
TK. 26.09
সমাধান
Let the price excluding VAT be A.
So, A + 15% of A = 200
or, A + 0.15A = 200
or, 1.15A = 200
or, A = 200/1.15 = 173.91 TK
So, VAT = 200 - 173.91 = 26.09 TK
২২৬৫৫
In a university, 80 percent of the students lived in hostel, and 60 percent of the hostel students are lucky to get a single room. If number of lucky students is 1200, then how many students were there in the university?
উত্তর
2500
সমাধান
Let,
total No. of students = x
No. of students lived in hostel = x × 80% = 0.8x
No.of Lucky students = 0.8x × 60% = 0.8x × 0.6 = 0.48x
According to question,
0.48x = 1200
x = (1200 ×100)/048
x = 2500
২২৬৫৬
X sells a product to Y and makes a profit of 25%. Y sells it to Z at a loss of 20%. If Z buys it for Tk. 140, what is X's purchase price?
উত্তর
140
সমাধান
Let,
X's purchase price = a
X's selling price = a + a × 25a% = 1.25a
= Y's purchase price
Y's selling price = 1.25.a - 1.25a × 20%
= 1.25a - 1.25a ×20/100
= 1.25a - 0.25a
= a = Z's purchasing price = 140
২২৬৫৭
A glass was filled with 10 liters of water and 0.01 liter of water evaporated every day during a 20-day period. What percent of the original amount of water evaporated during the period?
উত্তর
2%
সমাধান
Total water evaporated = 0.01×20 = 0.2 liter
Percentage of evaporated water = 0.2 / 10 × 100% = 2%
২২৬৫৮
On selling an article for Tk. 550, a man gains 10%. What will be the selling price, if desired profit is 20%?
উত্তর
Tk. 600
সমাধান
At 10% gain,
If selling price Tk(100 + 10) or 110 cost Tk.110
If selling price Tk.550 cost Tk. = (100 × 550)/110 = Tk.500
At 20% profit,
Selling price = 500 + 500 × 20%
= 500 + 500 × 20/100 = 600
২২৬৫৯
Noman sells pens for TK. 65.00 each. This price gives him a profit of 30 percent on the costs. What will be the new retail price of each pen if he cuts his profit to 10 percent of costs?
উত্তর
TK. 55.00
সমাধান
Let the cost price be A.
Then, A + 30% of A = 65
or, A + 0.3A = 65
or, 1.3A = 65
or, A = 65 / 1.3 = 50 TK.
New retail price at 10% profit = 50 + 10% of 50 = 50 + 5 = 55 TK
২২৬৬০
A can do a piece of work in 15 days and B can do it in 10 days. Working together how long will they take to finish the work?
উত্তর
6 days
সমাধান
In 15 days A can do 1 portion
in 1 days A can do 1/15 portion
In 10 days B can do 1 portion
In 1 days B can do 1/10 portion
In 1 day A & B can do ( 1/15 + 1/10) or 2 + 3/30
or 5/30 or 1/6 portion
A & B can finish 1/6 portion in 1 day
A & B can finish 1 portion in 1/6 day
= 6 days