Question

a shopkeeper sells a lamp for ₹350 and gains 1/6th of its cost price. find its cost price​

Answer 1

Let Cp of lamp be ₹x

Gain=1/6 x ₹x

=₹x/6

Sp of the lamp=cp+gain

₹350=x+x/6

₹350=(6x+x)/6

₹350=7x/6

₹350 x 6=7x

(₹350 x 6)/7=x

₹300=x

Therefore, cost price of lamp=₹300.

Answer 2

Cost price is Rs. 420.

Step-by-step explanation:

Since we have given that

Selling price = Rs. 350

Let the cost price be 'x'.

Gain = $\dfrac{1}{6}$ of Cost price = $\dfrac{1}{6}x$

So, it becomes,

Selling price = Cost price + Profit

$350=x-\dfrac{x}{6}\\\\350=\dfrac{6x-x}{6}\\\\350=\dfrac{5x}{6}\\\\350\times \dfrac{6}{5}=x\\\\70\times 6=x\\\\420=x$

Hence, Cost price is Rs. 420.

# learn more:

A shopkeeper sells a lamp for rupees 350 and gains 1 upon 6 of its cost price find its price ​

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