Question : Rice worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the mixture is worth Rs.153 per kg, then the price of the third variety per kg (in Rs.) is:
Option 1: 182.5
Option 2: 195.5
Option 3: 133.5
Option 4: 175.5
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 175.5
Solution : The first and second varieties are mixed in equal proportions. Their average price = $\frac{126 + 135}{2}$ = Rs.130.50 So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at Rs.$x$ per kg, in the ratio 2 : 2 = 1 : 1. By the rule of allegation, we have, Ratio = (Higher value – Mean value) : (Mean value – Lower value) ⇒ $\frac{1}{1} = \frac{x – 153}{153 - 130.5}$ ⇒ $1 = \frac{x – 153}{22.5}$ ⇒ $x = 153 + 22.5$ $\therefore x = 175.5$ Hence, the correct answer is 175.5.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Wheat worth Rs. 80 per kg and Rs. 50 per kg is mixed with a third variety in the ratio $1:2:3$. If the mixture is worth Rs.75 per kg, then the price of the third variety per kg will be equal to:
Question : Rice worth INR 35 per kilogram and INR 38 per kilogram are mixed with a third variety in the ratio 2 : 1 : 2. If the mixture is worth INR 42 per kilogram, the price of the third variety per kilogram is:
Question : How many kilograms of rice costing Rs. 60 per kg must be mixed with 24 kg of rice costing Rs. 42 per kg so that there may be a gain of 12% by selling the mixture at Rs. 56 per kg?
Question : Sourav purchased 30 kg of rice at the rate of Rs. 10 per kg and 35 kg at the rate of Rs. 11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction?
Question : The price of a variety of a commodity is INR 7 per kg and that of another is INR 12 per kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is INR 10 per kg.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile