A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54.
What is the actual price per piece?
Correct answer: B
Explanation
( 10x + y )( 10a + b ) = 1148. -----------(i)
=> ( 10y + x )(10b + a ) = 1148. -----------(ii)
From (i) and (ii), we get -
=> 99(ax - by) = 0.
=> ax = by where a, b, x, y all are < 10.
From given answers, we get ax = by in the pair 14, 82 we have
=> 14 x 82 = 1148 = 41x28 so price is 14, number sold is 82..
When the digits are reversed, price is 41 and number sold is 28
B
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