80% of a smaller number is 4 less than 40% of a larger number.
Posted on 31-12-2022
Ques - 80% of a smaller number is 4 less than 40% of a larger number. The larger number is 85 greater than the smaller one. The sum of these two number is :
(a) 325
(b) 425
(c) 235
(d) 500
Solution -
Let,
The smaller number = x
So,
The larger number = x + 85
A/C
80% of smaller number = 40% of larger number - 4
80/100 × x = 40/100 (x + 85) - 4
0.8x = 0.4x + 34 - 4
0.8x - 0.4x = 30
0.4x = 30
x = 30/0.4
x = 75
Smaller number = 75
Larger number = x + 85
Larger number = 75 + 85
Larger number = 160
Therefore, The sum of these two number = 75 + 160
= 235
Hence,
The correct option is (c) 235.
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