Alfa Ltd is the producer of Toffiee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discout of Y % he sells totalof 'X' Toffees which is 40 less than total received by him to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit aof Rs 14 thousands on selling the Toffees . If distributor allowed two successive discounts if 5% and 12.5 % on markedprice, than find the profit made by distributor on seling of one Toffee ?

Alfa Ltd is the producer of Toffiee and it used to sell Toffee through

1.	Alfa Ltd is the producer of Toffiee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discout of Y % he sells totalof 'X' Toffees which is 40 less than total received by him to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit aof Rs 14 thousands on selling the Toffees . If distributor allowed two successive discounts if 5% and 12.5 % on markedprice, than find the profit made by distributor on seling of one Toffee ?
Answer» Rs 16.125 Rs 12.225 Rs 17.225 Rs. `15.625` Solution :Given, Commission RECEIVED by the DISTRIBUTOR =Rs. 700 So, the number of TOFFEES sold by distributor `=(700)/(100)xx50=350` Total number of Toffees received by him in the whole stock to sell`=350+40=390` Production cost of ecah Toffee`=(78000)/(390)=Rs. 200` Marked price of each Toffee `=200xx1.3=Rs. 260` Total selling price of 350 Toffees `=350xx200+14000=Rs. 84000` Selling price of each Toffee`=(84000)/(350)=Rs. 240` Discount allow by employee (y) `=(260-240)/(260)xx100=(20)/(260)xx100=7 (9)/(13)%` Selling price `=260xx(95)/(100)xx(7)/(8)=Rs. 216.125` Required PROFIT `=216.125-200=Rs. 16.125`