CLAT Exam > CLAT Questions > Ramu bought three articles tv washing machine...
Start Learning for Free
Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac?
Most Upvoted Answer
Ramu bought three articles tv washing machine and ac he paid total of ...
Given Information:
Ramu bought three articles - TV, washing machine, and AC. He paid a total of Rs 51,000 to the shopkeeper. The cost price of the washing machine is 20 percent less than that of the AC. The ratio of the cost price of the TV to the AC is 3:4.
Step 1: Determining the Cost Price of the TV, Washing Machine, and AC
Let's assume the cost price of the AC is x. According to the given ratio, the cost price of the TV will be (3/4)x.
Since the cost price of the washing machine is 20 percent less than that of the AC, the cost price of the washing machine will be (x - 20% of x) = (x - 0.2x) = 0.8x.
Therefore, the cost price of the TV, washing machine, and AC can be represented as follows:
TV: (3/4)x
Washing Machine: 0.8x
AC: x
Step 2: Determining the Selling Price and Profit
Ramu made a profit of 18 percent on selling the TV, 35 percent on selling the washing machine, and 22.5 percent on selling the AC.
Let's calculate the selling price of each article:
Selling Price of TV = Cost Price of TV + 18% of Cost Price of TV = (3/4)x + (18/100)(3/4)x = (3/4)x + (27/200)x = (9/8)x
Selling Price of Washing Machine = Cost Price of Washing Machine + 35% of Cost Price of Washing Machine = 0.8x + (35/100)(0.8x) = 0.8x + (28/100)x = (108/100)x
Selling Price of AC = Cost Price of AC + 22.5% of Cost Price of AC = x + (22.5/100)x = x + (9/40)x = (49/40)x
Step 3: Determining the Total Selling Price
The total selling price of all three articles is given as Rs 51,000.
Therefore, (9/8)x + (108/100)x + (49/40)x = 51,000
Step 4: Solving the Equation to Find the Value of x
Combining like terms, we get:
(72/64)x + (108/100)x + (49/40)x = 51,000
(180/160)x + (108/100)x + (49/40)x = 51,000
(180x + 172.8x + 196x)/160 = 51,000
(548.8x)/160 = 51,000
548.8x = 160 * 51,000
x = (160 * 51,000)/548.8
x ≈ 14,926.83
Therefore, the cost price of the AC is approximately Rs 14,926.83.
Step 5: Calculating the Cost Price of TV and Washing Machine
Using the ratio, the cost price of the TV can be calculated as:
Cost Price of TV = (
Ramu bought three articles - TV, washing machine, and AC. He paid a total of Rs 51,000 to the shopkeeper. The cost price of the washing machine is 20 percent less than that of the AC. The ratio of the cost price of the TV to the AC is 3:4.
Step 1: Determining the Cost Price of the TV, Washing Machine, and AC
Let's assume the cost price of the AC is x. According to the given ratio, the cost price of the TV will be (3/4)x.
Since the cost price of the washing machine is 20 percent less than that of the AC, the cost price of the washing machine will be (x - 20% of x) = (x - 0.2x) = 0.8x.
Therefore, the cost price of the TV, washing machine, and AC can be represented as follows:
TV: (3/4)x
Washing Machine: 0.8x
AC: x
Step 2: Determining the Selling Price and Profit
Ramu made a profit of 18 percent on selling the TV, 35 percent on selling the washing machine, and 22.5 percent on selling the AC.
Let's calculate the selling price of each article:
Selling Price of TV = Cost Price of TV + 18% of Cost Price of TV = (3/4)x + (18/100)(3/4)x = (3/4)x + (27/200)x = (9/8)x
Selling Price of Washing Machine = Cost Price of Washing Machine + 35% of Cost Price of Washing Machine = 0.8x + (35/100)(0.8x) = 0.8x + (28/100)x = (108/100)x
Selling Price of AC = Cost Price of AC + 22.5% of Cost Price of AC = x + (22.5/100)x = x + (9/40)x = (49/40)x
Step 3: Determining the Total Selling Price
The total selling price of all three articles is given as Rs 51,000.
Therefore, (9/8)x + (108/100)x + (49/40)x = 51,000
Step 4: Solving the Equation to Find the Value of x
Combining like terms, we get:
(72/64)x + (108/100)x + (49/40)x = 51,000
(180/160)x + (108/100)x + (49/40)x = 51,000
(180x + 172.8x + 196x)/160 = 51,000
(548.8x)/160 = 51,000
548.8x = 160 * 51,000
x = (160 * 51,000)/548.8
x ≈ 14,926.83
Therefore, the cost price of the AC is approximately Rs 14,926.83.
Step 5: Calculating the Cost Price of TV and Washing Machine
Using the ratio, the cost price of the TV can be calculated as:
Cost Price of TV = (
|
Explore Courses for CLAT exam
|
|
Similar CLAT Doubts
Top Courses for CLATView all
Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac?
Question Description
Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac?.
Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac?.
Solutions for Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? in English & in Hindi are available as part of our courses for CLAT.
Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? defined & explained in the simplest way possible. Besides giving the explanation of
Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac?, a detailed solution for Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? has been provided alongside types of Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? theory, EduRev gives you an
ample number of questions to practice Ramu bought three articles tv washing machine and ac he paid total of rs 51000 to the shopkeeper .The cost price of washing machine is 20 percent less than that of ac and the ratio of cp and tv and ac is 3:4 Raku made a profit of 18 percent on selling tv 35 percent profit on washing machine and 22.5percent of profit of selling ac? tests, examples and also practice CLAT tests.
|
|
Explore Courses for CLAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup