Question
A certain amount was divided among four people P, Q, R
and S such that the amount obtained by S is 12.5% more than the amount obtained by Q. The amount obtained by P is one third of the amount obtained by S. The average of the amount obtained by R and Q is Rs. 27000. If the difference between the amount obtained by R and S is Rs. 7200, then find out the amount obtained by Q. (It is assumed that the amount is not in fractions or decimals.)Solution
The amount obtained by P is one third of the amount obtained by S.
Let’s assume the amount obtained by S is ‘9a’.
amount obtained by P = (1/3) of 9a = 3a
The amount obtained by S is 12.5% more than the amount obtained by Q.
9a = (100+12.5)% of the amount obtained by Q
9a = 112.5% of the amount obtained by Q
amount obtained by Q = 8a
The average of the amount obtained by R and Q is Rs. 27000.
Total amount obtained by R and Q = 27000x2 = 54000
amount obtained by R + 8a = 54000
amount obtained by R = (54000-8a)
If the difference between the amount obtained by R and S is Rs. 7200.
9a - (54000-8a) = 7200
9a - 54000 + 8a = 7200
9a + 8a = 7200+54000
17a = 61200
a = 3600
(54000-8a) - 9a = 7200
54000-7200 = 8a+9a
17a = 46800 [This value of ‘a’ is not possible. Because it will give values in decimals.]
So the amount obtained by Q = 8a = 8x3600 = Rs. 28800
From the given option figures, select the one in which the question figure is hidden/embedded. (rotation is not allowed)
Two dimensions of the same dice are given. What letter will be on the face opposite to the face having the letter D?
Change the question mark with the option that follows the applied logic in the first pair.
Eating : Restaurant :: Exercise : ??
Seven people S, E, C, T, I, O and N are sitting around a circular table, facing the centre(but not necessarily in the same order). E is sitting second t...
Select the option in which the given shape is embedded (rotation is not allowed).
Select the figure from the options that can replace the question mark (?) and complete the given figure
What should come in place of? in the given series based on the English alphabetical order?
GAR, KEV, OIZ, SMD, ?
If the sign ‘×’ is interchanged with ‘÷’ and ‘–’ is interchanged with ‘+’, then what will be the value of the expression below?
...What should come in place of the question mark (?) in the given series based on the English alphabetical order?
TKU, UNP, VQK, WTF, ?
Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Simil...
Relevant for Exams:
