A salesman enters the quantity sold and the price into the computer Both the numbers are two digit B...........

Quantitative Aptitude ( CCS) Profit and loss

A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs.1148, but the inventory reduced by 54.

Question: What is the actual price per piece?

Rs.82

Rs.41

Rs.14

Rs.28

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Explanation:

(10x + y)(10a + b) = 1148 = (10y+x)(10b+a)
=> 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
14x82 = 1148 = 41x28 so
price is 14, number sold is 82
when reversed digits
price is 41 and number sold is 28.

Hence, option 3 is the correct answer.