Question

if the prices of onions are reduced by 20%one can buy an extra 3kg of it for Rs. 360 .Find the reduced per kg price of onions​

Answer 1

The reduced price per kg of onions is Rs.  24 if the original price is reduced by 20%.

Step-by-step explanation:

Let the original price of the onions be Rs. "x" per kg

The price of the onions are reduced by 20%

∴ The price of 1 kg onion after reduction = x - [(20/100) * x] = Rs. 0.8x

Now, according to the question, we get

$\frac{360}{0.8x} - \frac{360}{x} = 3$

⇒ 360x - 360(0.8x) = 3×(0.8x²)

⇒ 360x - 288x = 2.4x²

⇒ 72x = 2.4x²

⇒2.4x = 72

⇒ x = Rs. 30 ← original per kg price of the onions

∴ 0.8x = 0.8 × 30 = Rs. 24

Thus, the reduced per kg price of onions​ is Rs. 24.

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