Question

A watch is sold at a loss of 6%. Had it been sold for 870 more the gain would have been 6%. Find the cost price.​

Answer 1

Let the cost price of the article be x.

Here , we conclude,

Loss of 6% + 870 = Gain of 6%

→ Gain of 6% - Loss of 6% = 870

$\therefore\rm \ \ \Bigg ( \dfrac{100 +Gain \%}{100} \Bigg )CP - \Bigg ( \dfrac{100 -Loss\%}{100} \Bigg )CP = 870$

$\rm \implies\Bigg ( \dfrac{100 +6}{100} \Bigg )x - \Bigg ( \dfrac{100 -6}{100} \Bigg )x = 870$

$\rm \implies\Bigg ( \dfrac{106}{100} \Bigg )x - \Bigg ( \dfrac{94}{100} \Bigg )x = 870$

$\rm \implies \dfrac{106}{100}x - \dfrac{94}{100}x = 870$

$\rm \implies \dfrac{106-94}{100}x = 870$

$\rm \implies \dfrac{12}{100}x = 870$

$\rm \implies \dfrac{3}{25}x=870$

$\rm \implies x=\dfrac{870\times 25}{3} = 7,250$

Therefore, the cost price of the article is 7,250.

Hope it helps..