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The cost price of two articles is the same. One of them is sold at a…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (23.08.2024) Shift-II
The cost price of two articles is the same. One of them is sold at a profit of 13% while the other at a profit of 19%. If there is a difference of Rs. 126 between their selling prices, then the cost price of each article is:
ARs. 1800
BRs. 1900
CRs. 2000
DRs. 2100 ✓ Correct
Correct answer: (D) Rs. 2100 — The cost price of each article is 2100 rupees, so that is the answer.
Explanation
The cost price of each article is 2100 rupees, so that is the answer.
Let the common cost price be x.
The two selling prices are 1.19 times x and 1.13 times x.
Their difference is 0.06 times x, which equals 126.
So x is 126 divided by 0.06.
That gives 2100 rupees.

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