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Question:
The cost of table ₹ 200 more than a chair. The cost price of 2 tables and 3 chairs is ₹ 1400. Find the cost of each.
Answer:
- The cost price of each chair is ₹ 200.
- The cost price of each table is ₹ 400.
Given:
The cost of a table ₹ 200 more than a chair.
The cost price of 2 table and 3 chair is ₹ 1400.
To find:
- The cost price of each chair .
- The cost price of each table.
Explnation:
Let, the cost price(C.P.) of each chair be, 'n'.
∴ The C.P. of each table _
(n+200)
∴ The C.P. of 2 tables _
(n+200)×2
= 2n+400
∴ The C.P. of 3 chais_
(n×3)
= 3n.
∴ The C.P. of 2 tables and 3 chairs together_
(2n+400)+3n
= 5n+400
According to the problem:
5n+400 = 1400
⇒ 5n = 1400-400
⇒ 5n = 1000
⇒ n = (1000÷5)
⇒ n = ₹ 200.
∴ The C.P. of each chair is ₹ 200.
∴ The C.P. of each table_
₹(200+200)
= ₹ 400.
∴ The C.P. of each table is ₹ 400.
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