Question : The cost of 3 cups and 5 plates is INR 1,080 and the cost of 2 cups and 4 plates is INR 840. Find the ratio of the cost of a cup to the cost of a plate.
Option 1: 1 : 3
Option 2: 2 : 3
Option 3: 1 : 1
Option 4: 1 : 2
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 1 : 3
Solution : Let the cost of 1 cup be $x$ and the cost of 1 plate be $y$> So, according to the question, the equations formed are 3$x$ + 5$y$ = 1080............(equation 1) And, 2$x$ + 4$x$ = 840.............(equation 2) Multiplying equation 1 by 2 and equation 2 by 3, we get: 6$x$ + 10$y$ = 2160................(equation 3) 6$x$ + 12$y$ = 2520.................(equation 4) Subtract equation 3 from equation 4, we get: 2$y$ = 360 ⇒ $y$ = 180 Putting the value of plates in equation 1, we get: 3$x$ + 5 × 180 = 1080 ⇒ $x$ = 60 $\therefore$ Ratio of the cost of a cup to the cost of a plate = 60 : 180 = 1 : 3 Hence, the correct answer is 1 : 3.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : One litre of milk costs INR 40. Water is mixed with milk and the mixture cost becomes INR 30 per litre. Find the ratio of water and milk in the mixture.
Question : Supriya made a profit of 8% by selling a T-shirt after offering a discount of 10%. If the marked price of the t-shirt is INR 1,080, then find its cost price (in INR) for Supriya.
Question : The cost of 4 rings and 2 bangles of gold is INR 40,000. What is the cost of 10 rings and 5 bangles?
Question : The cost of 12 apples and 15 oranges is INR 660. The cost of 15 apples and 21 oranges is INR 870. Find the cost of one apple.
Question : The ratio of the cost price (CP) and marked price (MP) of an article is 4 : 7. A discount of 20% is given on MP and the shopkeeper makes a profit of INR 80. Find the CP of the article.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile