Can You Gain Muscle And Lose Chest Fat By Doing Pushups And Pullups/chinups?

Yes you can gain muscle tone in the area that you target. However, the fat that is on top of the muscle doesn’t belong to that muscle. Instead, it belongs to the entire body, and as such it will be removed in the reverse order that it was placed.
Bottom line: for muscle toning, exercise that particular muscle or group. For body fat reduction, burn calories using large muscle groups and aerobic exercise.
I like blitz’s analogy regarding muscle and fat, nicely put.

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