Sushma bought 6 tables and 12 chairs for Rs. 12,000. She sold the tables at a profit of 15% and the chairs at a loss of 10%. If her total gain was Rs. 300, then the total cost of the tables was:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 6000
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Understanding |
Application |
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CP of 6 tables & 12 chairs = Rs 12000 Suppose CP of 1 table is ‘x’ and CP of 1 chair is ‘y’
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6x + 12y = 12000……………………(1) She sold the tables at a profit of 15% and the chairs at a loss of 10% and her total gain was Rs. 300: 6x × 1.15 + 12y × 0.9 = 12000 + 300 6.9x + 10.8y = 12300………………. (2) Multiply equation 1 by 0.9 and subtract from equation 2: (6.9 – 5.4)x = 12300 – 10800 1.5x = 1500 x = 1000 Hence, total cost of tables = 6x = Rs. 6000 |