The price of sugar is reduced by 20%. Now a person can buy 500g more sugar for Rs. 36. The original price of the sugar per kilogram was
1. Rs. 14.40
2. Rs. 15.60
3. Rs. 18
4. Rs. 16.5
1. Rs. 14.40
2. Rs. 15.60
3. Rs. 18
4. Rs. 16.5
Correct Answer – Option 3 : Rs. 18
Given:
A person can buy 500g more sugar for Rs. 36 if the price of sugar is reduced by 20%.
Calculations:
Let the original price of sugar be Rs. x/kg.
Reduced price of sugar = 80% of x = (80/100) × x = (4/5) x
so \(\frac{36}{\frac{4x}{5}}\ – \frac{36}{x}\ = \ \frac{1}{2}\) (consumption = expenditure/price)
⇒ \(\frac{45}{x}\ -\ \frac{36}{x}\ =\ \frac{1}{2}\)
⇒ 9/x = 1/2
⇒ x= 18
∴ the original price of sugar is Rs. 18/kg.