CAT Quantitative Ability Questions | CAT Number System questions
CAT/1996
Question . 158
A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. Once, 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.
What is the actual quantity sold ?
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(a) From option (b) of previous question, 28 is the quantity sold and the price is Rs 41.
Alternatively : q' = q + 54, which is only possible in case of 28 and 82 as given in options.
q = 28 and q' = 82. Therefore p = 1148/28 = 41