Comprehension
DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.
| Colour | Rs / liter |
|---|---|
| RED | 20 |
| YELLOW | 25 |
| WHITE | 15 |
| ORANGE | 22 |
| PINK | 18 |
Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.
Question: 1
The cheapest way to manufacture AVOCADO paint would cost
The cheapest way to manufacture AVOCADO paint would cost
Show Hint
AVOCADO needs ORANGE and PINK. For each of these, compare the buying price with the cost of mixing it from other colours.
Updated On: Nov 7, 2026
- Rs. 19.50 per litre.
- Rs. 19.75 per litre
- Rs. 20.00 per litre.
- Rs. 20.25 per litre.
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Understand what AVOCADO is made of:
AVOCADO is half ORANGE and half PINK. So its cost per litre is \(\frac{1}{2}\) of the ORANGE cost plus \(\frac{1}{2}\) of the PINK cost. To make AVOCADO as cheaply as possible, we make both ORANGE and PINK as cheaply as possible.
Step 2: Cheapest way to get ORANGE:
Buying ORANGE costs Rs. 22 per litre. Mixing RED and YELLOW in equal parts costs \(\frac{20 + 25}{2} = 22.5\) per litre.
Buying is cheaper, so ORANGE costs Rs. 22 per litre.
Step 3: Cheapest way to get PINK:
Buying PINK costs Rs. 18 per litre. Mixing RED and WHITE in equal parts costs \(\frac{20 + 15}{2} = 17.5\) per litre.
Mixing is cheaper, so PINK costs Rs. 17.5 per litre.
Step 4: Cost of AVOCADO:
\[ \text{AVOCADO} = \frac{22 + 17.5}{2} = \frac{39.5}{2} = 19.75 \]
So the cheapest cost is Rs. 19.75 per litre, which is option (2).
Option (1) 19.50 is lower than any possible route, so it cannot be reached. Option (3) 20.00 is what we get if all colours come from RED, YELLOW and WHITE, but the better route above is cheaper. Option (4) 20.25 is the dearest route (mixing ORANGE and buying PINK), so it is not the cheapest.
Final Answer:
The least cost of one litre of AVOCADO paint is Rs. 19.75. \[ \boxed{\text{Option 2}} \]
AVOCADO is half ORANGE and half PINK. So its cost per litre is \(\frac{1}{2}\) of the ORANGE cost plus \(\frac{1}{2}\) of the PINK cost. To make AVOCADO as cheaply as possible, we make both ORANGE and PINK as cheaply as possible.
Step 2: Cheapest way to get ORANGE:
Buying ORANGE costs Rs. 22 per litre. Mixing RED and YELLOW in equal parts costs \(\frac{20 + 25}{2} = 22.5\) per litre.
Buying is cheaper, so ORANGE costs Rs. 22 per litre.
Step 3: Cheapest way to get PINK:
Buying PINK costs Rs. 18 per litre. Mixing RED and WHITE in equal parts costs \(\frac{20 + 15}{2} = 17.5\) per litre.
Mixing is cheaper, so PINK costs Rs. 17.5 per litre.
Step 4: Cost of AVOCADO:
\[ \text{AVOCADO} = \frac{22 + 17.5}{2} = \frac{39.5}{2} = 19.75 \]
So the cheapest cost is Rs. 19.75 per litre, which is option (2).
Option (1) 19.50 is lower than any possible route, so it cannot be reached. Option (3) 20.00 is what we get if all colours come from RED, YELLOW and WHITE, but the better route above is cheaper. Option (4) 20.25 is the dearest route (mixing ORANGE and buying PINK), so it is not the cheapest.
Final Answer:
The least cost of one litre of AVOCADO paint is Rs. 19.75. \[ \boxed{\text{Option 2}} \]
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Question: 2
WASHEDORANGE can be manufactured by mixing
WASHEDORANGE can be manufactured by mixing
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Break ORANGE into RED and YELLOW, then write WASHEDORANGE as shares of the three basic colours.
Updated On: Nov 7, 2026
- CREAM and RED in the ratio 14:10.
- CREAM and RED in the ratio 3:1.
- YELLOW and PINK in the ratio 1:1.
- RED, YELLOW, and WHITE in the ratio 1:1:2.
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Write WASHEDORANGE in basic colours:
WASHEDORANGE is half ORANGE and half WHITE. ORANGE itself is half RED and half YELLOW. So in one litre of WASHEDORANGE:
RED = \(\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}\), YELLOW = \(\frac{1}{4}\), WHITE = \(\frac{1}{2}\).
The ratio RED : YELLOW : WHITE is \(\frac{1}{4} : \frac{1}{4} : \frac{1}{2} = 1 : 1 : 2\).
Step 2: Match with option (4):
Option (4) says RED, YELLOW and WHITE in the ratio 1:1:2. This is exactly what we found. So (4) is correct.
Step 3: Why option (1) is wrong:
CREAM is 70% WHITE and 30% YELLOW. Mixing CREAM and RED in the ratio 14:10 gives \(\frac{14}{24}\) CREAM and \(\frac{10}{24}\) RED. Then YELLOW is \(\frac{14}{24} \times 0.3 = 0.175\) and WHITE is \(\frac{14}{24} \times 0.7 \approx 0.408\). The target is 0.25 YELLOW and 0.5 WHITE, so this fails.
Step 4: Why option (2) is wrong:
CREAM and RED in the ratio 3:1 gives \(\frac{3}{4}\) CREAM, so YELLOW is \(0.75 \times 0.3 = 0.225\) and WHITE is \(0.75 \times 0.7 = 0.525\). RED is 0.25. The target is 0.25 : 0.25 : 0.5, and 0.225 and 0.525 do not match. So (2) fails.
Step 5: Why option (3) is wrong:
PINK is half RED and half WHITE. YELLOW and PINK in the ratio 1:1 gives YELLOW \(\frac{1}{2}\), RED \(\frac{1}{4}\), WHITE \(\frac{1}{4}\). The target needs only \(\frac{1}{4}\) YELLOW and \(\frac{1}{2}\) WHITE. So (3) fails.
Final Answer:
WASHEDORANGE is RED, YELLOW and WHITE in the ratio 1:1:2. \[ \boxed{\text{Option 4}} \]
WASHEDORANGE is half ORANGE and half WHITE. ORANGE itself is half RED and half YELLOW. So in one litre of WASHEDORANGE:
RED = \(\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}\), YELLOW = \(\frac{1}{4}\), WHITE = \(\frac{1}{2}\).
The ratio RED : YELLOW : WHITE is \(\frac{1}{4} : \frac{1}{4} : \frac{1}{2} = 1 : 1 : 2\).
Step 2: Match with option (4):
Option (4) says RED, YELLOW and WHITE in the ratio 1:1:2. This is exactly what we found. So (4) is correct.
Step 3: Why option (1) is wrong:
CREAM is 70% WHITE and 30% YELLOW. Mixing CREAM and RED in the ratio 14:10 gives \(\frac{14}{24}\) CREAM and \(\frac{10}{24}\) RED. Then YELLOW is \(\frac{14}{24} \times 0.3 = 0.175\) and WHITE is \(\frac{14}{24} \times 0.7 \approx 0.408\). The target is 0.25 YELLOW and 0.5 WHITE, so this fails.
Step 4: Why option (2) is wrong:
CREAM and RED in the ratio 3:1 gives \(\frac{3}{4}\) CREAM, so YELLOW is \(0.75 \times 0.3 = 0.225\) and WHITE is \(0.75 \times 0.7 = 0.525\). RED is 0.25. The target is 0.25 : 0.25 : 0.5, and 0.225 and 0.525 do not match. So (2) fails.
Step 5: Why option (3) is wrong:
PINK is half RED and half WHITE. YELLOW and PINK in the ratio 1:1 gives YELLOW \(\frac{1}{2}\), RED \(\frac{1}{4}\), WHITE \(\frac{1}{4}\). The target needs only \(\frac{1}{4}\) YELLOW and \(\frac{1}{2}\) WHITE. So (3) fails.
Final Answer:
WASHEDORANGE is RED, YELLOW and WHITE in the ratio 1:1:2. \[ \boxed{\text{Option 4}} \]
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Question: 3
Assume that AVOCADO, CREAM and WASHEDORANGE each sells for the same price. Which of the three is the most profitable to manufacture?
Assume that AVOCADO, CREAM and WASHEDORANGE each sells for the same price. Which of the three is the most profitable to manufacture?
Show Hint
With the same selling price, the lowest manufacturing cost gives the highest profit. Work out each paint's cheapest cost per litre.
Updated On: Nov 7, 2026
- AVOCADO
- CREAM
- WASHEDORANGE
- Sufficient data is not available.
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Decide what to compare:
All three paints sell at the same price. So the paint with the lowest cost per litre gives the highest profit. We find the cheapest cost of each.
Step 2: AVOCADO:
From the previous question, the cheapest cost of AVOCADO is Rs. 19.75 per litre.
Step 3: CREAM:
CREAM is 70 percent WHITE and 30 percent YELLOW, which are both bought colours.
\[ 0.7 \times 15 + 0.3 \times 25 = 10.5 + 7.5 = 18 \]
So CREAM costs Rs. 18 per litre.
Step 4: WASHEDORANGE:
WASHEDORANGE is half ORANGE and half WHITE. ORANGE costs 22 if bought (22.5 if mixed), so we use 22.
\[ 0.5 \times 22 + 0.5 \times 15 = 11 + 7.5 = 18.5 \]
So WASHEDORANGE costs Rs. 18.5 per litre.
Step 5: Compare:
Costs: AVOCADO 19.75, CREAM 18, WASHEDORANGE 18.5. CREAM is the lowest, so it is the most profitable.
Option (1) is wrong because AVOCADO costs the most. Option (3) is wrong because WASHEDORANGE costs 0.5 more than CREAM per litre. Option (4) is wrong because the table gives all the data we need.
Final Answer:
CREAM is the most profitable paint to manufacture. \[ \boxed{\text{Option 2}} \]
All three paints sell at the same price. So the paint with the lowest cost per litre gives the highest profit. We find the cheapest cost of each.
Step 2: AVOCADO:
From the previous question, the cheapest cost of AVOCADO is Rs. 19.75 per litre.
Step 3: CREAM:
CREAM is 70 percent WHITE and 30 percent YELLOW, which are both bought colours.
\[ 0.7 \times 15 + 0.3 \times 25 = 10.5 + 7.5 = 18 \]
So CREAM costs Rs. 18 per litre.
Step 4: WASHEDORANGE:
WASHEDORANGE is half ORANGE and half WHITE. ORANGE costs 22 if bought (22.5 if mixed), so we use 22.
\[ 0.5 \times 22 + 0.5 \times 15 = 11 + 7.5 = 18.5 \]
So WASHEDORANGE costs Rs. 18.5 per litre.
Step 5: Compare:
Costs: AVOCADO 19.75, CREAM 18, WASHEDORANGE 18.5. CREAM is the lowest, so it is the most profitable.
Option (1) is wrong because AVOCADO costs the most. Option (3) is wrong because WASHEDORANGE costs 0.5 more than CREAM per litre. Option (4) is wrong because the table gives all the data we need.
Final Answer:
CREAM is the most profitable paint to manufacture. \[ \boxed{\text{Option 2}} \]
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