Question:medium

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?

Updated On: Jan 15, 2026
  • ₹ 580
  • ₹ 570
  • ₹ 560
  • ₹ 590
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The Correct Option is C

Solution and Explanation

In April, John's expenditure on rice was ₹450. The price of rice escalated by 20% in May.

Step 1: Rice Cost in May

April cost of rice = ₹450
Percentage increase = 20% 
Rice cost in May: \[ 450 + \frac{20}{100} \times 450 = 450 + 90 = ₹540 \]

Step 2: Assign Variable for April Wheat Cost

Let the April cost of wheat be ₹x.
In May, the wheat price saw a 12% increase.
Therefore, the May cost of wheat is: \[ x + 0.12x = 1.12x \]

Step 3: Determine Total May Expense Relative to April

Total April expense = ₹450 (rice) + ₹x (wheat) = ₹(450 + x) 
Total May expense = ₹540 (rice) + ₹1.12x (wheat) = ₹(540 + 1.12x)

It is given that the May total expense was ₹150 more than the April total expense:
\[ (540 + 1.12x) - (450 + x) = 150 \] Simplifying the equation: \[ 540 + 1.12x - 450 - x = 150 \] \[ 90 + 0.12x = 150 \Rightarrow 0.12x = 150 - 90 \Rightarrow 0.12x = 60 \Rightarrow x = \frac{60}{0.12} = 500 \]

Step 4: Calculate May Cost of Wheat

The cost of wheat in May is calculated as: \[ 1.12x = 1.12 \times 500 = ₹560 \]

✅ Final Answer: ₹560

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