Question

the shopkeeper sold a ceiling fan for rupees 1152 thereby gaining 1/8 of its cost price . find its cost price​

Answer 1

Given :-

SP = ₹1152

Total gain = 1/8 of the cost price

To Find :-

The cost price of the ceiling fan.

Solution :-

Let the CP be ₹ x

A/q ,

Total gain = 1/8 of CP

$=\: {\dfrac{1}{8}}\: \times x$

$=\: {\dfrac{x}{8}}$

SP = CP + Gain

$=\: x\: +\: {\dfrac{x}{8}}$

$=\: {\dfrac{8x + x}{8}}$

$=\: {\dfrac{9x}{8}}$

But, Also given that SP = ₹1152

A/q,

${\dfrac{9x}{8}}\: =\: 1152$

$=>\: 9x\: =\: 1152 \times 8$

$=>\: x\: =\: {\dfrac{1152 \times 8}{9}}$

=> x = 1024.

Therefore, The cost price of the ceiling fan is ₹1024.

Short-hands Used :-

• SP = Selling Price
• CP = Cost Price
• P = profit
• L = Loss

Extra Information :-

• Cost price :- It is the price at which an article is bought.
• Selling price :- It is the price at which an article is finally sold.
• Profit :- It is the total money gained by selling the article at more price than CP.
• Loss :- It is the total money losed by selling the article at less price than CP.