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Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. Rishabh has less money than three times the amount that Keshav has. Lavish has more money than Keshav. Hemang has an amount equal to the difference of amounts with Keshav and Lavish. Rishabh has three times the money with Hemang. Each of them has to buy at least one shorts, or one sleeper, or one sleeveless t-shirt, or one goggle that is priced 200, 400, 600, and 1000 a piece, respectively. Lavish borrows 300 from Rishabh and buys a goggle. Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Rishabh buys three shorts. What is the costliest item that Hemang could buy with his own money?
  • a)
    A shorts
  • b)
    A sleeper
  • c)
    A sleeveless t-shirt
  • d)
    A goggles
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. ...
Let, Rishabh has 'P' amount of money, Keshav has 'Q' amount of money, Lavish has 'R' amount of money, and Hemang has 'S' amount of money.
Therefore, according to the question
P < 3 × Q
R > Q,
S = R - Q
P = 3 × S
Also, Lavish borrows 300 from Rishabh and buys a goggle and Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Implies that, 
Q = 600 - 100 (Rishabh) = 500
R ≥ 1000 - 300 (Rishabh) ≥ 700
Also, Rishabh buys three shorts means he has a minimum of 1000 (100 + 300 + 3 × 200 = 1000) and the maximum is less than 3Q.
Therefore, 1000 ≤ P < 3Q
1000 ≤ P < 3 × 500
1000 ≤ P < 1500
Since Rishabh has three times the money with Hemang
1000 ≤ 3 × S  < 1500
333 ≤  S  < 500
Hence, Hemang could buy a sleeper with his own money.
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Most Upvoted Answer
Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. ...
Given information:
- Rishabh has less money than three times the amount that Keshav has.
- Lavish has more money than Keshav.
- Hemang has an amount equal to the difference of amounts with Keshav and Lavish.
- Rishabh has three times the money with Hemang.
- Each person has to buy at least one item: shorts, sleeper, sleeveless t-shirt, or goggles.
- The prices of the items are: shorts - 200, sleeper - 400, sleeveless t-shirt - 600, goggles - 1000.

Analysis:
Let's assume Keshav has x amount of money.
- Rishabh has less money than three times the amount that Keshav has, so Rishabh has 3x - y (where y is the amount of money Rishabh has).
- Lavish has more money than Keshav, so Lavish has x + z (where z is the amount of money Lavish has).
- Hemang has an amount equal to the difference of amounts with Keshav and Lavish, so Hemang has (x + z) - x = z.
- Rishabh has three times the money with Hemang, so 3x - y = 3z.

Now, let's analyze the purchases made by each person:
1. Lavish borrows 300 from Rishabh and buys a goggle, which costs 1000. So, Lavish has z - 300 money left.
2. Keshav buys a sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. The sleeveless t-shirt costs 600. So, Keshav initially had x + 100 money.
3. Rishabh buys three shorts. Each short costs 200, so Rishabh spends 3 * 200 = 600 on shorts. Rishabh initially had 3x - y money.

Solution:
From the above analysis, we can conclude that:
- Lavish has z - 300 money.
- Keshav initially had x + 100 money.
- Rishabh initially had 3x - y money and spent 600 on shorts.

We know that Rishabh has three times the money with Hemang, so 3x - y = 3z.
From this equation, we can substitute the value of 3x - y as 600 (as Rishabh spent 600 on shorts) to get:
600 = 3z
z = 200

Hence, the costliest item that Hemang could buy with his own money is a sleeper which costs 400.
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Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. Rishabh has less money than three times the amount that Keshav has. Lavish has more money than Keshav. Hemang has an amount equal to the difference of amounts with Keshav and Lavish. Rishabh has three times the money with Hemang. Each of them has to buy at least one shorts, or one sleeper, or one sleeveless t-shirt, or one gogglethat is priced 200, 400, 600, and 1000 a piece, respectively. Lavish borrows 300 from Rishabh and buys a goggle. Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Rishabh buys three shorts. What is the costliest item that Hemang could buy with his own money?a)A shortsb)A sleeperc)A sleeveless t-shirtd)A gogglesCorrect answer is option 'B'. Can you explain this answer?
Question Description
Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. Rishabh has less money than three times the amount that Keshav has. Lavish has more money than Keshav. Hemang has an amount equal to the difference of amounts with Keshav and Lavish. Rishabh has three times the money with Hemang. Each of them has to buy at least one shorts, or one sleeper, or one sleeveless t-shirt, or one gogglethat is priced 200, 400, 600, and 1000 a piece, respectively. Lavish borrows 300 from Rishabh and buys a goggle. Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Rishabh buys three shorts. What is the costliest item that Hemang could buy with his own money?a)A shortsb)A sleeperc)A sleeveless t-shirtd)A gogglesCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. Rishabh has less money than three times the amount that Keshav has. Lavish has more money than Keshav. Hemang has an amount equal to the difference of amounts with Keshav and Lavish. Rishabh has three times the money with Hemang. Each of them has to buy at least one shorts, or one sleeper, or one sleeveless t-shirt, or one gogglethat is priced 200, 400, 600, and 1000 a piece, respectively. Lavish borrows 300 from Rishabh and buys a goggle. Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Rishabh buys three shorts. What is the costliest item that Hemang could buy with his own money?a)A shortsb)A sleeperc)A sleeveless t-shirtd)A gogglesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four friends Rishabh, Keshav, Lavish and Hemang are out for shopping. Rishabh has less money than three times the amount that Keshav has. Lavish has more money than Keshav. Hemang has an amount equal to the difference of amounts with Keshav and Lavish. Rishabh has three times the money with Hemang. Each of them has to buy at least one shorts, or one sleeper, or one sleeveless t-shirt, or one gogglethat is priced 200, 400, 600, and 1000 a piece, respectively. Lavish borrows 300 from Rishabh and buys a goggle. Keshav buys a Sleeveless t-shirt after borrowing 100 from Rishabh and is left with no money. Rishabh buys three shorts. What is the costliest item that Hemang could buy with his own money?a)A shortsb)A sleeperc)A sleeveless t-shirtd)A gogglesCorrect answer is option 'B'. Can you explain this answer?.
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