২২৮১১
A pen was sold at 15% loss. If the selling price was Tk. 8 more , then the seller could have made a profit of 10%. what was the purchase price of pen?
উত্তর
32
সমাধান
Let,
Purchase price = Tk.x
At 15% loss SP = Tk.(17x/20)
At 10% profit SP = Tk.(11x/10)
As per question ,
(17x/20) + 8 = (11x/10)
Or, 5x = 160
Or, x = 32
Therefore, the required value = Tk.32
২২৮১২
What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons?
উত্তর
72
সমাধান
The least common multiple of 6, 7 and 8 is 168. To distribute the apples among the persons, the number of apples must be multiple of 168. Now, twice of 168 = 168×2 = 336.
So, minimum number of apples must be added = 336 - 264 = 72
২২৮১৩
Four partners distribute their income amongst themselves in the proportions 1:2:3:4. What percent of the income is received by the first partner?
উত্তর
10
সমাধান
Income received by the first person = 1 / (1 + 2 + 3 + 4) × 100% = 10%
২২৮১৪
Mr. Karim deposited Tk. 800 in a bank at 15% annual compound interest rate. At the end of the second year ,the total amount including the interest will be:
উত্তর
1058
সমাধান
We know, principal with compound interest, C = P(1 + r)n = 800(1 + 15/100)2 = 800×1.152 = 1058 TK
২২৮১৫
An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week?
উত্তর
200
সমাধান
Let their payments be X, Y and Z respectivey.
Now, X = 125/100 of Y or, Y = 100/125 of X = 4X/5
Again, X = 80/100 of Z or, Z = 100/80 of X = 5X/4
Now, X + Y + Z = 610
or, X + 4X/5 + 5X/4 = 610
or, (20X + 16X + 25X) / 20 = 610
or, 61X = 610 × 20
or, X = 610 × 20 / 61 = 200 TK
২২৮১৬
Out of total profit , A gets 40% , B 25% , c 20% , D 10% and E 5%. what percentage of B's profit is that of A?
উত্তর
160%
সমাধান
40/25 * 100% = 160%
২২৮১৭
If 2x=7 and 3y=2, then what is 9xy?
উত্তর
21
সমাধান
(2x)(3y) = 7×2
= > 6xy = 14
Multiply both sides by 3/2
∴9xy = 21
২২৮১৮
A car wash center washes 10 cars in half an hour. At this rate how many cars can wash in 4 hours?
উত্তর
80
সমাধান
In 1/2 hr car center washes 10 cars
so,
" 4hr " " " ( 10 * 2 * 4)/1 = 80 cars.
২২৮১৯
What value of x satisfies the equation x-1 = 1-x?
উত্তর
2
সমাধান
Here, x - 1 = 1 - x
or, x + x = 1 + 1
or, 2x = 2
or, x = 1
২২৮২০
B and C are points on a straight line AD, where AB= BC=CD. What percent of AC is AD?
উত্তর
66.7%
সমাধান
AC/AD = 2/3 = 2/3 * 100 = 66.70%