Question

A shopkeeper incurs a loss of 12% by selling a CD player for Rupees 1760 at what price did the shopkeeper buy the CD player?.

Answer 1

STEP 1: Find percentage of the selling price

100 - 12 = 88%

..............................................................................................................

STEP 2: Find the cost price:

He sold it at 88%

He sold it at Rs 1760

⇒ 88% = 1760

.

1% = 1760 ÷ 88

1% = Rs 20

.

100% = 20 x 100

100% = Rs 2000

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Answer: The shopkeeper bought it at Rs 2000

Answer 2

Loss % = 12 % $\bf{(given)}$
S.P = Rs. 1760 $\bf{(given)}$

We know that,

$C.P = \frac{S.P \times 100}{100 - loss \: \%} \\ \\ \\ C.P = \frac{1760 \times 100}{100 - 12} \\ \\ \\ C.P = \frac{176000}{88} \\ \\ \\ C.P = 2000$

Hence,
$\bf{C.P = Rs. 2000.}$