Practicing Success
On selling a table for Rs. 210 and Rs. 420 there will be loss of L1 % and L2 % respectively. If L1 - L2 = 7, then what is the cost price of table. |
Rs. 5,000 Rs. 3,000 Rs. 7,000 Rs. 4,000 |
Rs. 3,000 |
We have, First selling price of a table = Rs. 210 Another selling price of a table = Rs. 420 There will be loss of L1% and L2 % respectively. L1 - L2 = 7 According to the question, SP1 = Rs. 210 = CP = 100 × 210/(100 - L1%) = SP2 = Rs. 420 = CP = 100 × 420/(100 - L2%) We know that, both CP are equal, = 100 × 210/(100 - L1%) = 100 × 420/(100 - L2%) = 210/(100 - L1%) = 420/(100 - L2%) = 2(100 - L1%) = (100 - L2%) = 200 - 2L1 = 100 - L2 = 2L1 - L2 = 100 Given, L1 - L2 = 7. = L1 = 7 + L2 Put the value of L1 = 2(7 + L2) - L2 = 100 = 14 + 2L2 - L2 = 100 = L2 = 86% = CP = 100 × 420/(100 - 86) = CP = 100 × 420/14 = CP = 100 × 30 = 3000 |