Question

Agnes paid rent which was ¹/₁₀ of her net salary. She used ½ of the remaining amount to make a down payment for a plot. She gave her mother Kshs. 2,500 and did shopping worth Kshs. 7,500 for herself. She saved the remainder which was Ksh. 12,500. How much was the down payment that she made.

Answer 1

Let her salary be x
amount after rent = ⁹/₁₀x
½ of ⁹/₁₀x = ⁹/₂₀x
⁹/₂₀x = 2500 + 7500 + 12500
⁹/₂₀x = 22,500
x = 22500 × 20
              9
   = 50,000
∴ Down Payment ½ of 45,000 = 22,500
=Kshs. 22,500