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CAT 2020 Quant Question [Slot 2] with Solution 02

Question

In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent ? 150 more due to price increase of rice and wheat by 20% and 12%, respectively. If John had spent ? 450 on rice in April, then how much did he spend on wheat in May?

  1. ? 580
  2. ? 570
  3. ? 560
  4. ? 590
Option: 3
Solution:

Amount spent on rice in May \( = 450 \times 1.2 = ?540\).

If the amount spent on wheat in April is w, then in May it would be 1.12w.

Given, \((1.12w + 540) - (w + 450) = 150\)

\( \Rightarrow 12w = 60\)

\( \Rightarrow w = 500\)

\(\therefore \) The amount spent on wheat in May =1.12w i.e., ? 560

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