Question
By mistake, by dividing Rupees 2256 between x, y and z
in the proportion 1/3: 1/4: 1/5, it was divided in the proportion of 3:4:5. What is the difference between the amount of the one who gains the most and the one who losses the most?Solution
Correct proportion = 1/3 : 1/4 : 1/5 LCM of 3, 4 and 5 = 60 So, correct ratio = 20 : 15 : 12 Total parts = 20 + 15 + 12 = 47 Total amount = Rs. 2256 Value of 1 part = 2256 Γ· 47 = Rs. 48 So, correct shares are: x = 20 Γ 48 = Rs. 960
y = 15 Γ 48 = Rs. 720
z = 12 Γ 48 = Rs. 576 Now, the amount was wrongly divided in the ratio 3 : 4 : 5 Total parts = 3 + 4 + 5 = 12 Value of 1 part = 2256 Γ· 12 = Rs. 188 So, wrongly divided shares are: x = 3 Γ 188 = Rs. 564
y = 4 Γ 188 = Rs. 752
z = 5 Γ 188 = Rs. 940 Now, Loss of x = 960 - 564 = Rs. 396 Gain of y = 752 - 720 = Rs. 32 Gain of z = 940 - 576 = Rs. 364 So, the one who loses the most = x = Rs. 396 loss
The one who gains the most = z = Rs. 364 gain Required difference = 396 - 364 = Rs. 32
Two bodies of masses 3 kg and 5 kg are connected by a string and placed on a smooth horizontal surface. A force of 40 N is applied on the 5 kg block. Wh...
The group velocity of matter waves associated with a moving particle is:
In a logic gate, the output is 1 only when at least one input is 1. This gate is:
A particle starts from rest and accelerates uniformly at 2 m/sΒ² for 5 seconds, then moves with constant speed for 5 seconds and finally decelerates uni...
Which of the following is an example of longitudinal waves in a gas medium?
Which quantity has the same dimensional formula as impulse?
What happens to the electrostatic force between two charges when the distance between them decreases?Β
Specific resistance of a conductor increases with :
Calculate the work done in moving a charge of 2 C across two points having a potential difference of 12 V.
Going from fluorine to chlorine, to bromine and then to iodine, the electro negativity: