A reduction of 20% in the price of sugar enables a purchase to obtain

1.	A reduction of 20% in the price of sugar enables a purchase to obtain 4 kg more for Rs. 160. The original price of sugar per kg is:1. Rs. 122. Rs. 103. Rs. 154. Rs. 14
Answer» Correct Answer - Option 2 : Rs. 10 Given: A reduction of 20% in the price of sugar Purchase to obtain 4 kg more for Rs.160 Calculation: Let the original price per kg of sugar is Rs. x Then the reduced price per kg = x × (80/100) = 4x/5 Quantity of sugar that can be bought for Rs.160 originally = Rs. 160/x Quantity of sugar that can be bought for Rs.160 with reduced price = 160/(4x/5) = 800/4x According to the question, ⇒ 800/4x = (160/x) + 4 ⇒ (800/4x) – (160/x) = 4 ⇒ (800 – 640)/4x = 4 ⇒ 160 = 16x ⇒ x = 10 ∴ The original price of sugar is 10 Rs. per kg

A reduction of 20% in the price of sugar enables a purchase to obtain 4 kg more for Rs. 160. The original price of sugar per kg is:1. Rs. 122. Rs. 103. Rs. 154. Rs. 14

Answer» Correct Answer - Option 2 : Rs. 10

Given:

A reduction of 20% in the price of sugar

Purchase to obtain 4 kg more for Rs.160

Calculation:

Let the original price per kg of sugar is Rs. x

Then the reduced price per kg = x × (80/100) = 4x/5

Quantity of sugar that can be bought for Rs.160 originally = Rs. 160/x

Quantity of sugar that can be bought for Rs.160 with reduced price = 160/(4x/5) = 800/4x

According to the question,

⇒ 800/4x = (160/x) + 4

⇒ (800/4x) – (160/x) = 4

⇒ (800 – 640)/4x = 4

⇒ 160 = 16x

⇒ x = 10

∴ The original price of sugar is 10 Rs. per kg

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