Question

Find the Cast Price when
SP =₹ 1820 and gain %=12%

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Answer 1

CP +PROFIT/GAIN =SP

CP= SP - GAIN

CP= 1820-12/100

CP=1820-218.4

CP= 1601.6

Answer 2

Given

we have given selling price =₹ 1820

Gain= 12%

To find

we have to find cost price

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Know the basic concepts:

=>The cost at which an articles is purchased is called its cost price (CP)

=>The cost at which an articles sold is called its selling price (SP).

⋆If SP is greater than CP then it is profit or gain.

⋆If CP is greater than SP then it is loss.

IMPORTANT FORMULAE

Gain = (S.P.) - (C.P.)

Loss = (C.P.) - (S.P.)

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When SP and Gain% are given we can find the cost price by using this Formula:

$\sf CP = \bigg [\dfrac{100}{(100 + Gain\%)} \bigg]\times SP$

$\sf \: CP = \dfrac{100}{100 + 12} \times 1820$

$\sf \: CP= \dfrac{100}{112} \times 1820$

$\sf \: CP = \dfrac{100}{56} \times 910$

$\sf \: CP=100 \times 16.25 = 1625$

Hence,the cost price is ₹1625