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A TV set sells for Rupees X in Delhi. A dealer bought it in Chandigarh at a 20% discount on the Delhi price, spent Rupees 600 on transport, and sold it in Delhi for Rupees X at a profit of (100/7)%. What is X?

ARupees 8000
BRupees 7200
CRupees 8800
DRupees 9600
Answer & Solution
Correct answer: A. Rupees 8000
1. Cost to dealer = 0.8X + 600; selling price = X with profit 100/7 %. 2. So X = (0.8X + 600)(1 + 1/7) = (0.8X + 600)(8/7), giving 7X/8 = 0.8X + 600. 3. 0.875X - 0.8X = 600, so 0.075X = 600 and X = 8000. _Source: RRB Group D CEN-02/2018 PYQ, Q.56._
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