Circuit Solution via Incremental Quantities

In the circuit shown below, r1r_1 and r2r_2 are resistors such that r1r2=4\frac{r_1}{r_2}=4. If we connect a lamp as shown, the current through resistor r1r_1 increases by 0.1 A\SI{0.1}{\ampere}.

Find the current through the lamp (in amperes).

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