Question
Hrithik sells a table at a profit of 37.5%. If he had
bought it at 12.5% less, and sold it at ₹330 less, he would have made a profit of 10%. By what percent is the cost price of the table less than ₹1,000?Solution
Let the CP of the table be X. Gain = 37.5% [37.5%] = 3/8 Selling price of table at 37.5% profit = x + 3x/8 = 11x/8 CP of the table at 12.5% loss = x - 1x/8 = 7x/8 SP of the table at the 10% profit 110/100 x 7x/8 = 77x/80 Then, according to question: 11x/8-330= 77x/8 (11x/8) - (77x/8) = 330 (110x77x)/80 = 330 33x = 330 x 80 x = 10 x 80 = 800 Cost price of table = Rs. 800 Cost price less than 1000=1000-800=200 Percentage =200×100/1000 =20%
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