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Choose whether the given statement is true or false:
On selling an exhaust fan for Rs 7350, a man gains $16$ of its cost price. Then the cost price of the fan is Rs 6300.

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True

False

answer is A.

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Detailed Solution

The given statement is on selling an exhaust fan for Rs 7350, a man gains

of its cost price. Then the cost price of the fan is Rs 6300.
We have to find whether the statement is true or false.
We have the following formulas,
S.P=selling price.
C.P=cost price.
Gain=S.P-C.P

G a i n % = S . P − C . P C . P × 100

Loss=C.P-S.P

L o s s % = C . P − S . P C . P × 100

Let the C.P of the television be ‘a’.
Gain on the exhaust fan is

= x 6

.
The S.P of the exhaust fan is

= x + x 6

.
The C.P of the exhaust fan is,

⇒ x + x 6 = 7350 ⇒ 7 x 6 = 7350 ⇒ x = 7350 × 6 7 ⇒ x = 6300

The C.P of the exhaust fan is Rs 6300.
Hence, the correct option is 1.

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