Question

a man sells a radio set for rs. 605 and gains 10 % at what price should he sell another radio of the same kind in order to gain 16 %

Answer 1

Given SP = 605
Profit % = 10
Let the CP be x
Then -SP =  x + (10/100*x) (CP + profit)
On solving this we get CP as 550
Then the SP of the other radio = 550 + (16/100*550) (CP + Profit)
We get SP as 638
      

Answer 2

if he sell a radio at rp. 605 then he gain 10%

605×100÷110=550

The cost price of radio=550


Now he sold radio at 16% gain


550×116÷100=638 rp