100 goods are purchased at the rate of Rs 240.¼ of the goods are sold at the gain of 10%.At what percentage profit must the rest goods be sold so that the profit on the whole outlay may be 25%?​

Respuesta :

Answer:

41.66%

Step-by-step explanation:

Total profit we have to gain =25/100×240 =60

Cost of one item = 240/100 =2.40

Also given that 1/4 of total good are sold with 10% profit which mean profit =[tex]\frac{10}{100}\frac{1}{4}*100*2.4[/tex] =6.

(Here 1/4 of 100 is 25 and cost per unit is 2.4)

Total money to be recovered from 75(100-25) items =60-6 =54

Let profit percentage to be charged on 54 items be p%.

Original cost =2.4×54 = 129.6

Profit amount =54 =129.6×p/100

 p =41.66% =percentage of profit on rest of the goods.