The price of 1 kg of sugar is increased by 30%, and the increase amount is Rs 48. What is the new price (in Rs) of sugar per kg after applying this 30% increase?

Introduction / Context:
This question tests percentage increase and the relationship between original value, percentage change, and change amount. If an item increases by 30%, then the increase is 30% of the original price, not 30% of the new price. Once the original price is found from the increase amount, the new price is obtained by adding the increase or multiplying by 1.30. The key skill here is translating the words into a clean equation.

Given Data / Assumptions:

• Percentage increase = 30%
• Increase amount = Rs 48
• Let original price = P (Rs per kg)
• New price = P + 48

Concept / Approach:
Increase amount = (percentage increase) * (original price). So, 0.30 * P = 48. Solve for P. Then compute new price = P + 48 (or P * 1.30).

Step-by-Step Solution:
0.30 * P = 48 P = 48 / 0.30 P = 160 New price = 160 + 48 = 208

Verification / Alternative check:
30% of 160 is 0.30 * 160 = 48, exactly the given increase. Therefore the new price must be 160 + 48 = 208. Another check is 160 * 1.30 = 208, which confirms the same result.

Why Other Options Are Wrong:
160 is the original price, not the new price. 216 would mean the increase was 56, not 48. 192 and 178 come from using the wrong base for 30% or arithmetic mistakes.

Common Pitfalls:
Applying 30% to the new price instead of the original, dividing 48 by 30 instead of 0.30, or forgetting to add the increase after finding the original price.

Final Answer:
The new price of sugar is Rs 208 per kg.