The Sum of two numbers is 390. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is?

180

4% = \(\frac{1}{25}\)

12% = \(\frac{3}{25}\)

                      Original No.   :   Resultant No.

Biggest No.   ⇒    25            :       24          (× 7)

Smallest No. ⇒     25           :        28          (× 6)

[Resultant No.'s are equal. To make them equal, biggest No. is multiplied by 7 and smallest multiplied by 6]

                      Original No.   :   Resultant No.

Biggest No.   ⇒    175          :       168

Smallest No. ⇒    150          :        168    

Total             ⇒    325

⇒ 325R = 390 (given)

⇒ 1R = 1.2

⇒ Smallest No. = 150 × 1.2 = 180