Question

The price of sugar increases, and then decreases by 20 percent. If the final price of sugar is rupees 2 less than the original price, what was the origina price?​

Answer 1

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Step-by-step explanation:

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Answer 2

Given:

Decrease in price is 20%

The Family can buy 20 kg more for Rs. 400.

Calculation:

Let the initial price of sugar be x Rs./kg

Let the initial weight of sugar be y kg

When the price of sugar decreases by 20%, the new price 

⇒ [(100 – 20)/100] × x = 0.8x Rs./kg

Similarly, the increased amount of purchased sugar

⇒ (y + 20) kg

So, we get the relation for money spent in purchase as:

⇒ xy = 400      ----(i)

Similarly,

⇒ 0.8x × (y + 20) = 400

⇒ 0.8xy + 16x = 400

⇒ (0.8 × 400) + 16x = 400

⇒ x = 5

The final price of sugar

⇒ 0.8 × 5 = 4 Rs./kg

∴ The final price of the sugar is Rs. 4 per kg

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