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

The correct answer is (C): \(560\)

Amount spent on rice in May = \(450×1.2 = 540\)

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

Given, \((1.12w+540)-(w+450) = 150\)

\(⇒ 12w = 60\)

\(⇒ w = 500\)

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

Answer 2

Let John buy \(m\) kg of rice and \(p\) kg of wheat.
If price of rice be \(r\) in April,
Then, price in May \(= 1.2r\)
Now let the price of wheat be \(w\) in April,
Then, price in April \(= 1.12w\)
Now, John spent \(₹150\) more in May,
\(⇒ 0.2(rm)+0.12(wp) =150\)
Its also given that he had spent \(₹ 450\) on rice in April.
\(⇒ rm = 450\)
\(⇒ 0.2rm = 0.2 \times 450\)
\(0.2rm = 90\)
On substituting,
\(wp =\) \(\frac {60}{0.12}\)
\(⇒ wp = 500\)
Amount spent on wheat in May \(= 1.12 \times 500\)
\(=₹ 560\)

So, the correct option is (C): \(₹ 560\)