Question : Due to a price hike of 20%, 4 kg less sugar is available for Rs. 120. What is the initial price per kg of sugar?
Option 1: Rs. 5 per kg
Option 2: Rs. 4 per kg
Option 3: Rs. 6 per kg
Option 4: Rs. 5.5 per kg
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: Rs. 5 per kg
Solution : Let the initial price of the sugar be Rs. $x$ per kg. Increase in price is 20%, it means increased price $=\frac{120x}{100}=\frac{6x}{5}$ According to the question, Initial quantity – Current quantity = Reduction in quantity ⇒ $\frac{120}{x} -\frac{120}{ \frac{6x}{5}} = 4$ ⇒ $\frac{120}{x} -\frac{600}{ {6x}} = 4$ ⇒ $\frac{120}{x} -\frac{100}{ {x}} = 4$ ⇒ $\frac{20}{x} = 4$ $\therefore x = 5$ Hence, the correct answer is Rs. 5 per kg.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : If the price of sugar increases by 20%, one can buy 2 kg less for Rs. 50. What is the amount of sugar that could be bought before the price hike?
Question : A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kg more for Rs. 160. Then the price per kg before the reduction was:
Question : In what ratio should sugar at Rs. 30 per kg be mixed with sugar at Rs. 45 per kg so that, on selling the mixture at Rs. 42 per kg, there is a profit of 20%?
Question : In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg to earn a profit of 20% by selling the mixture at Rs. 54 per kg?
Question : If sugar costs Rs. 12 per kg and Rs. 7 per kg, what proportion must a grocer mix them in to make a mixture worth Rs. 8 per kg?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile