Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2022 (05.03.2023) Shift-II
The total cost price of two cars A and B of different models is Rs. 5.0 lakh. Car A is sold at a profit of 20 percent and car B at a loss of 20 percent, but the selling price of the two cars remains the same. Find the cost price of cars A and B in lakhs respectively.
ARs. 2.5 lakh and Rs. 2.5 lakh
BRs. 2.4 lakh and Rs. 2.6 lakh
CRs. 2.0 lakh and Rs. 3.0 lakh ✓ Correct
DRs. 2.6 lakh and Rs. 2.4 lakh
Correct answer: (C) Rs. 2.0 lakh and Rs. 3.0 lakh — The cost prices are 2.0 lakh and 3.0 lakh, so the answer is 2.0 lakh and 3.0 lakh.
Explanation
★The cost prices are 2.0 lakh and 3.0 lakh, so the answer is 2.0 lakh and 3.0 lakh.
★Let car A cost x lakh, so car B costs 5 minus x lakh.
★Car A sells at 120 percent of its cost and car B at 80 percent of its cost.
★The two selling prices are equal, so 1.2 times x equals 0.8 times 5 minus x.
★Solving gives x as 2, so car A costs 2 lakh.
★Then car B costs 5 minus 2, which is 3 lakh.
★So the answer is 2.0 lakh and 3.0 lakh.
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