24. A and B have, between them, 1200. A spends 12%
of his money while B spends 20% of his money.
They are then left with a sum that constitutes 85%
of the whole sum. Find what amount is left with A.
(a) 750
(b) ₹800
(c) 700
(d) 660
ΑΛ.
(mcq question soo need a shortcut or shorter way to understand the sum and solve it)
Answers
Answer :
Let A = x
B = 1200-x
(As when you sum up, there must be 1200. Suppose, A = x and B = x-1200 and if you add these you get 2x + 1200, but it is given that they have 1200 between them. Therefore, A = x and B = 1200 - x).
Now, as A spends 12% of his money = (1 - 12/100)x = 88x/100
Now, as B spends 20% of his money = (1 - 1/5)(1200 - x) = (4800 - 4x)/5
Given, sum is 85% of the whole sum.
Whole sum is 1200
left over Sum = [(88x)/100] + [(4800 - 4x)/5]
= (96000 + 8x)/100
As given in the question,
= (96000 + 8x)/100 = 85/100 * 1200
= 96000 + 8x = 1020 * 100
= 96000 + 8x = 102000
x = 750
Now, A is left with 88x/100
= (88*750)/100
= 6600/10
=660
Therefore, A is left with a sum of Rs.660
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