The price of a sedan car and a hatchback variant are in the ratio of8:7 if the sedan car costs 3rd.40000 more than a hatchback a man decides to purchase both the models,what will be the total expense
Answers
Ratio of price of a sedan car and a hatchback variant is 8:7
Price of Sedan is 40000 more than the hatchback.
Let the price of hatchback be x.
price of sedan car is( x+40000)
According to the question,
8:7=(x+40000) : x
Now ,value of x is 35000 .
Therefore, price of hatchback is 35000 .
Price of sedan car is (35000+40000)
=75000
Total expense =(75000+35000)
=110000
Concept:
Expense is the amount we spent on buying something.
Given:
The ratio of the price of a sedan car and a hatchback variant = 8:7,
And,
A sedan car costs 40000 more than a hatchback.
Find:
We are asked to find the total expense of both cars.
Solution:
We have,
The ratio of the price of a sedan car and a hatchback variant = 8:7,
And,
A sedan car costs 40000 more than a hatchback.
Now,
Let the price of Hatchback = y,
So,
the price of sedan car = y + 40000
NOw,
According to the question,
The ratio of the price of a sedan car and a hatchback variant = 8:7,
i.e.
(y + 40000)/y = 8 7
On solving we get,
8y = 7 × (y + 40000)
i.e.
8y = 7y + 280000
On solving we get,
y = 280000
now,
The cost of sedan car = y + 40000 = 280000 + 40000 = 320000
So,
The total cost of both cars = 320000 + 280000 = 6,00,000
Hence, the total expense of buying both cars is 6,00,000.
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