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A invests Rs.4800 at simple interest scheme at x % per annum for 4 years and after 4 years he received the total amount is Rs.7680. If B invests same amount at simple interest scheme at (x + 3)% per annum for 5 years, find the interest amount received by B?
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SI = (P * N * R)/100
7680 - 4800 = (4800 * x * 4)/100
x = 15%
SI received by B = (4800 * (15 + 3) * 5)/100
= 4320
A started the business with the investment of Rs.4500 and after 4 months B joined with the business. At the end of the year the total profit is Rs.17000 and A’s profit share is Rs.9000, what is B’s investment?
Profit ratio of A and B = (4500 * 12): (x * 8)
= 6750: x
6750/(x + 6750) = 9000/17000
9x + 6750 * 9 = 17 * 6750
9x = 54000
x = 6000
If the difference between the marked price and cost price of the article is Rs.180 and the shopkeeper offers 10% discount while he gets 20% of the profit, what is the marked price of the article?
MP – CP = 180
CP = MP – 180
MP * 90/100 = (MP – 180) * 120/100
3MP = 4MP – 720
MP = 720
A boat travels 120 km downstream in 6 hours and the speed of the stream is 5 kmph. What is the speed of the upstream?
Downstream speed = 120/6 = 20 kmph
Speed of the stream = 5 kmph
Speed of the boat in still water = 20 – 5 = 15 kmph
Upstream speed = 15 – 5 = 10 kmph
If the circumference of the circle is 132 cm and the radius of the circle is equal to the length of the rectangle whose perimeter is 80 cm, find the area of the rectangle?
Circumference of the circle = 2πr = 2 * 22/7 * r = 132
Radius of the circle = 21 cm
Perimeter of the rectangle = 2 * (l + b)
Length of the rectangle = 21 cm
80 = 2 * (21 + b)
b = 19 cm
Area of the rectangle = l * b = 19 * 21 = 399 cm2
There is a group of 4 doctors and 6 teachers. If 4 persons are to be selected, in how many different ways can they be selected such that at least one teacher should be there?
At least one teacher = 10C4 – 4C4
= [(10 * 9 * 8 * 7)/(4 * 3 * 2 * 1)] – 1
= 210 – 1
= 209
Two stations A and B are 310 km apart on a straight line. One train starts from A at 10 a.m. and travels towards B at 40 km/hr. Another train starts from B at 11 a.m. and travels towards A at a speed of 50 km/hr. At what time will they meet?
They meet x hours after 10 a.m.
Distance covered by A in x hours = 40x km
Distance covered by B in (x – 1) hours = 50 * (x – 1) km
40x + 50 * (x – 1) = 310
40x + 50x – 50 = 310
9x = 360
x = 4
They meet at 2 p.m.
A basket contains x apple, 4 orange and 3 banana. One fruit is taken out randomly and the probability of getting an orange is 2/5, and find the value of x?
4C1/(7 + x)C1 = 2/5
20 = 14 + 2x
2x = 6
x = 3
Ram scored 20% more than Rakesh and Rakesh scored 25% less than Ritesh in an exam having 200 as maximum marks. If Ritesh’s marks is 16 more than Ram’s marks, what is the percentage marks obtained by Rakesh?
Let the marks obtained by Ritesh is 4x
Marks obtained by Rakesh = 75/100 * 4x = 3x
Marks obtained by Ram = 120/100 * 3x = 18/5x = 3.6x
ATQ,
4x - 3.6x = 16
0.4x = 16
x = 40
Rakesh score = 40 * 3 = 120
Percentage = 120/200 * 100 = 60%
A shopkeeper sold two variety of rice, he mixes 20 kg of rice of Rs.50 per kg with 40 kg of rice of Rs.35 per kg. If he earned the profit of 20%, then what is the selling price of the mixed rice per kg?
CP of 20 kg of rice = 50 * 20 = Rs.1000
CP of 40 kg of rice = 40 * 35 = Rs.1400
CP of both varies = (1000 + 1400)/(40 + 20)
= Rs.40 per kg
SP = 40 * 120/100 = Rs.48
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