Number System
A trader sells 40 metres of cloth for Rs 8,200 at a profit of Rs 25 per metre of cloth. How much profit will the trader earn on 40 metres of cloth ?
S.P. per metre = 8200/40 = Rs. 205∴ C.P. per metre = Rs. (205 - 25) = Rs. 180∴ C.P. of 40 metre cloth= Rs. (40 x 180) = Rs. 7200∴ Gain = Rs. (8200 - 7200) = Rs. 1000
Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40