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?

• A. ₹ 580
• B. ₹ 570
• C. ₹ 560
• D. ₹ 590

Answer 1

The Correct Option is C

In April, John spent ₹450 on rice. The price of rice increased by 20% in May.

Step 1: Cost of Rice in May

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

Step 2: Let April Cost of Wheat = ₹x

In May, wheat price increased by 12%.
So May cost of wheat: \[ x + 0.12x = 1.12x \]

Step 3: Total May Expense = ₹150 More Than April

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

Given: \[ (540 + 1.12x) - (450 + x) = 150 \] Simplify: \[ 540 + 1.12x - 450 - x = 150 \] \[ 90 + 0.12x = 150 \Rightarrow 0.12x = 60 \Rightarrow x = \frac{60}{0.12} = 500 \]

Step 4: May Cost of Wheat

\[ 1.12x = 1.12 \times 500 = ₹560 \]

✅ Final Answer: ₹560

Answer 2

Let John buy \( m \) kg of rice and \( p \) kg of wheat. 

If price of rice in April is \( r \), then price in May is \( 1.2r \).

If price of wheat in April is \( w \), then price in May is \( 1.12w \).

It is given that John spent ₹150 more in May than in April.

Given:

• ₹450 was spent on rice in April: \( rm = 450 \)

Step-by-step:

1. Extra amount spent on rice in May: 
   \( 0.2rm = 0.2 \times 450 = 90 \)
2. Remaining extra cost is from wheat: 
   \( 150 - 90 = 60 \) 
   This is due to 12% increase in wheat price: 
   \( 0.12wp = 60 \Rightarrow wp = \frac{60}{0.12} = 500 \)
3. New amount spent on wheat in May: 
   \( 1.12 \times 500 = ₹560 \)

Final Answer: ₹560