Why (CH3)C+ carbo cation is more stable than cyclopropyl carbocation?

correct the question. its (CH3)3C+ ion not (CH3)C+ ion

in tri methly carbo cation ...there are 9 alpha hydrogen and dur to hyperconjugation it is stabilized . in this case it is also called extreme hyperconjugation coz of high no. of alpha H now we now that resonance dominates of hyperconjugation but in cyclo proply carbocation it is not the actual resonance it is sigma resonance or dancing resonance which is less stabilizing than extreme hyperconjugation though being dominative over hyperconjugation . ns having 9 alpha H makes it more stable .

all the best :) . hope it helps

In first case, there are three C atpms that provide Inductive effect and stabilize the cation. In cyclopropyl carbocation, only two C atoms are directly linked. Thus it''s less stable.

Approve if i helped :)

Approved

but your ans is not complete.. in (CH3)3C+ ion not only stablized due to inductive effect but also due to hyperconjugation.