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?
Answer & explanation
Correct answer: option 1
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