1.A man sold an item for RS 135,00 at a loss of 25%. What will be the selling price of same item if he sells it at a profit of 25% ?
(a)RS 22700
(b)RS 23500
(c)RS 22500
(d)RS 22440
2.The ratio between the angles of a quadrilateral is 6 : 3 : 4 : 5. The smallest angle of a triangle is one-fourth the largest angle of the quadrilateral. Largest angle of the triangle is 10° more than second largest angle of the triangle. What is the second largest angle of the triangle?
(a).80°
(b).60°
(c).70°
3.The difference between the compound intrest and simple intrest on an amount of Rs.46000 for 2 year is Rs.73.6. what the rate of intrest?
(a).4.25
(b).4
(c).5
(d).3.75
4.The profit earned by a company is to be distributed among the managers and officers in the ratio of 7:5. If the number of managers and officers is in the ratio of 7:12 the amount received by each officers is 30,000 what was the total profit earned if the number of managers was28?
(a). 35 lakh
(b). 17.5 lakh
(c). 34.56 lakh
(d). 19 lakh
5.The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number?
(a). 60
(b). 80
(c). 40
(d). 120
6.A man can row 4 kmph is still water. If the river is running at 2 kmph it takes 90 min to row to a place and back. How far is the place?
(a). 2 km
(b). 4 km
(c). 5 km
(d). 2.25 km
7. man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?
(a). 3 km
(b). 4 km
(c). 5 km
(d). 6 km
8.What day of the week will 22 Apr 2222 be?
(a). Monday
(b). Tuesday
(c). Sunday
(d). Thursday
9.A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew ¼ of his capital and B withdrew 1/5 of his capital. At the end of 10 months, the gain was Rs. 760. What is A's share in the profit?
(a). 310
(b). 330
(c). 370
(d). 350
10.A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 31 per kg, then his gain percent is
(a).65.33%
(b).66.13%
(c).68.14%
(d).70.15%
Answers
1.(c)
C.P. of the item = ( 13500 ×100 )/75 = Rs 18000
So, Reqd. S.P. of the item = (18000 × 125)/100=Rs 22500
2.(c)
The largest angle of the quadrilateral (6 ×360)/(6+4+3+5) = 120 degrees
Smallest angle of the triangle = 120 × 1/4 = 30 degrees
If second largest angle of the triangle = (x + 10)
So 30+ x+ x+10 = 180 , x = 70 degrees
3(b)
sum = diffx(100/r)^2
or,46000 = (736x10000)/r^2
or,r^2 = 736/46 = 16
r = 4
4(c)Let the managers get y Rs.
7/12 x y/30000 = 7/5
y = 72000
Total money = 72000X28x12/7= 34.56 lakh
5(b)
Let the original number be x.
Let A be the value obtained when x is increased by 12.5%.
Therefore, A = x + 12.5% of x
Let B be the value obtained when x is decreased by 25%.
Therefore, B = x - 25% of x
The question states that A - B = 30
i.e., x + 12.5% of x - (x - 25% of x) = 30
x + 12.5% of x - x + 25% of x = 30
37.5% of x = 30
x = 30/37.5*100 = 80
6(d)
Speed in still water = 4 kmph
Speed of the stream = 2 kmph
Speed upstream = (4-2)= 2 kmph
Speed downstream = (4+2)= 6 kmph
Total time = 90 minutes = 90⁄60 hour = 3⁄2 hour
Let L be the distance. Then
L/6+L/2=32
=> L + 3L = 9
=> 4L = 9
=> L = 9⁄4= 2.25 km
7(d)
Explanation :
If a car covers a certain distance at x kmph and an equal distance at y kmph,
the average speed of the whole journey = 2xy/(x+y) kmph
Hence, average speed = (2×3×2)/(2+3) =12/5 km/hr
Total time taken = 5 hours
=Distance travelled =12/5×5=12 km
=Distance between his house and office =12/2=6 km
8(a)
Explanation :
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday.
9(B)
Explanation :
Ratio of the initial capital of A and B = 4 : 5
Hence we can take the initial capitals of A and B as 4x and 5x respective
Ratio in which profit will be divided
= (4x*3) + (3/4)*(4x)*7 : (5x*3)+ (4/5)*(5x)*7
= 12+21 : 15+28
= 33 : 43
A's share = 760 * 33/76 = 330
10(a)
Explanation:
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Selling price = Rs. (8 x 31) = Rs. 248.
Profit = 248 -150 = 98
So, Profit % = (98/150) * 100 = 65.33%
1.(c)
C.P. of the item = ( 13500 ×100 )/75 = Rs 18000
So, Reqd. S.P. of the item = (18000 × 125)/100=Rs 22500
2.(c)
The largest angle of the quadrilateral (6 ×360)/(6+4+3+5) = 120 degrees
Smallest angle of the triangle = 120 × 1/4 = 30 degrees
If second largest angle of the triangle = (x + 10)
So 30+ x+ x+10 = 180 , x = 70 degrees
3(b)
sum = diffx(100/r)^2
or,46000 = (736x10000)/r^2
or,r^2 = 736/46 = 16
r = 4
4(c)Let the managers get y Rs.
7/12 x y/30000 = 7/5
y = 72000
Total money = 72000X28x12/7= 34.56 lakh
5(b)
Let the original number be x.
Let A be the value obtained when x is increased by 12.5%.
Therefore, A = x + 12.5% of x
Let B be the value obtained when x is decreased by 25%.
Therefore, B = x - 25% of x
The question states that A - B = 30
i.e., x + 12.5% of x - (x - 25% of x) = 30
x + 12.5% of x - x + 25% of x = 30
37.5% of x = 30
x = 30/37.5*100 = 80
6(d)
Speed in still water = 4 kmph
Speed of the stream = 2 kmph
Speed upstream = (4-2)= 2 kmph
Speed downstream = (4+2)= 6 kmph
Total time = 90 minutes = 90⁄60 hour = 3⁄2 hour
Let L be the distance. Then
L/6+L/2=32
=> L + 3L = 9
=> 4L = 9
=> L = 9⁄4= 2.25 km
7(d)
Explanation :
If a car covers a certain distance at x kmph and an equal distance at y kmph,
the average speed of the whole journey = 2xy/(x+y) kmph
Hence, average speed = (2×3×2)/(2+3) =12/5 km/hr
Total time taken = 5 hours
=Distance travelled =12/5×5=12 km
=Distance between his house and office =12/2=6 km
8(a)
Explanation :
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday.
9(B)
Explanation :
Ratio of the initial capital of A and B = 4 : 5
Hence we can take the initial capitals of A and B as 4x and 5x respective
Ratio in which profit will be divided
= (4x*3) + (3/4)*(4x)*7 : (5x*3)+ (4/5)*(5x)*7
= 12+21 : 15+28
= 33 : 43
A's share = 760 * 33/76 = 330
10(a)
Explanation:
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Selling price = Rs. (8 x 31) = Rs. 248.
Profit = 248 -150 = 98
So, Profit % = (98/150) * 100 = 65.33%
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