Question

A man buys a piece of land.He sells 2/5 of his of it at a loss of 6%.At what gain per cent should he sell the remaining piece of land to have 12% gain on whole?​

Answer 1

Answer:

20.67%

Step-by-step explanation:

Solution:-

Given : C.P. of the land = Rs. 96000

C.P. of the 2/5th part of the land = 2/5 × 96000 = Rs. 38400

 Loss on the sale of 2/5th part of land = 6 %

S.P of the 2/5th part of land = {(100-6) × 38400/100}

(94 × 38400)/100

94 × 384 = Rs. 36096

Total gain = 10 %

S.P. of the whole land = {(100+10) × 96000/100}

110 × 960

S.P. of the whole land = Rs. 105600

S.P. of the remaining part of the land i.e. 3/5th part = 105600 - 36096 = Rs. 69504

C.P. of the remaining part of land = (3×96000)/5 = Rs. 57600

Gain percentage of the remaining sold part of land

= {(69504 - 57600) × 100}/57600

= (11904 ×100)/57600

= 20.67 %

hope this satisfies you