Rahim got 12 & 1/4 dozen T-shirts in 12 % discount to printed price and he sold two third of these T-shirts in 19 % profit to printed price, then he sold other T-shirts in printed price. If his overall profit is 3626 rupee then printed price of the T-shirt is
Let the printed price of the T-shirt is x, then according to given condition
1.19 x * 2/3 (147) + x * 1/3 (147) - 0.88 x *(147) = 3626
On solving this equation, we get x= 100
Correct Option: 7
A bag contains 6 black and 8 red balls. A ball is drawn at random from the bag. If the ball drawn is black, a coin is tossed twice otherwise no coin is tossed. What is the probability to get two heads respectively on the coins.
Probability of drawing a black ball is 6/14 = 3/7
After then the probability of getting two successive heads is 1/2 * 1/2 = 1/4
Net probability = 3/7 * 1/4 = 3/28
n(S) = Number of ways of drawing 2 cards out of 52 cards
= (52)C(2) = 52*51/ 2*1 = 1326
n(E) = Number of ways of drawing 2 cards out of 4
= (4)C(2) = 4*3/ 2 = 6
Therefore
P(E) = 6/1326 = 1/221
No. of methods for selecting 6 cards out of 52 are 52*51*50*49*48*47/6*5*4*3*2*1
Similarly no. of methods for selecting 2 cards out of 48 after selecting 4 kings are
48*47/2*1
Hence probability is (48*47/2*1)/( 52*51*50*49*48*47/6*5*4*3*2*1)
= 3/54145
Total cost of 1 kg apple, 1 kg grape and 2 kg banana is 210 Rupees. If cost of fruits are in the order as given below
Cost of banana (1kg) =< Cost of grape (1kg) =< Cost of apple (1kg)
and all costs are multiple of 10 Rupee and minimum and maximum cost of any fruit per Kg is ranging from 30 Rupees to 90 Rupees. Number of possible cases are
According to given condition
1[10a] + 1[10g] + 2[10b] = 210
a + g + 2b = 21
as given
b =< g =< a
So possible cases are
1)
b = 3; g = 7; a = 8
b = 3; g = 6; a = 9
2)
b = 4; g = 6; a = 7
b = 4; g = 5; a = 8
b = 4; g = 4; a = 9
The upper and lower part radius of a bucket is 30 cm. and 20 cm. Its height is 60 cm. How much water can be filled in the bucket ?
It is given that -: 1 litre = 1000 cm.^3
On increasing the slant sides of the bucket, a cone can be obtained, whose height is obtained by the formula h/(h-60) = 30/20
On solving h = 180
Think that: two cones can be formed by increasing the slant height, their radii and heights are 30 cm.,
20 cm. and 180 cm., 120 cm.
Volume of the cone is πr^2/3
Therefore volume of the bucket is π(30)^2*180/3 - π(20)^2*120/3
= 38000π cm.^3
= 38π litre