A salesman sells an article at 8% profit. If he had bought it as 8% le

1.	A salesman sells an article at 8% profit. If he had bought it as 8% less and sold it for Rs. 17 less, he would have gained 15%. The cost price of the article is:1). Rs. 672.722). Rs. 658.763). Rs. 772.724). Rs. 780.45
Answer» S.P = Selling price, C.P = COST price S.P of the ARTICLE = C.P + Profit = C.P + (8/100) × C.P =C.P + 0.08C.P. = 1.08C.P. C.P of the article is 8% LESS = C.P₁= C.P – 8%C.P = C.P – (8/100) × C.P. = C.P – 0.08C.P = 0.92C.P S.P Of article when C.P is 8% less = S.P₁= S.P – 17 = 1.08C.P – 17 Profit % when C.P. is 8% less = 15% ⇒ $(\frac{{{\RM{S}}.{\rm{P}}1{\rm{\;}}-{\rm{\;C}}.{\rm{P}}1{\rm{\;}}}}{{C.P1}})$ × 100 = 15 ⇒ 1.08C.P – 17 – 0.92C.P = 15 × (0.92C.P/100) ⇒ 0.16C.P – 17 = 0.138C.P ⇒ (0.16 – 0.138) C.P = 17 ⇒ C.P = 17/0.022 = RS. 772.72 ∴ C.P of the article = Rs. 772.72

A salesman sells an article at 8% profit. If he had bought it as 8% less and sold it for Rs. 17 less, he would have gained 15%. The cost price of the article is:1). Rs. 672.722). Rs. 658.763). Rs. 772.724). Rs. 780.45

Answer»

S.P = Selling price, C.P = COST price

S.P of the ARTICLE = C.P + Profit = C.P + (8/100) × C.P =C.P + 0.08C.P. = 1.08C.P.

C.P of the article is 8% LESS = C.P₁= C.P – 8%C.P = C.P – (8/100) × C.P. = C.P – 0.08C.P = 0.92C.P

S.P Of article when C.P is 8% less = S.P₁= S.P – 17 = 1.08C.P – 17

Profit % when C.P. is 8% less = 15%

⇒ $(\frac{{{\RM{S}}.{\rm{P}}1{\rm{\;}}-{\rm{\;C}}.{\rm{P}}1{\rm{\;}}}}{{C.P1}})$ × 100 = 15

⇒ 1.08C.P – 17 – 0.92C.P = 15 × (0.92C.P/100)

⇒ 0.16C.P – 17 = 0.138C.P

⇒ (0.16 – 0.138) C.P = 17

⇒ C.P = 17/0.022 = RS. 772.72

∴ C.P of the article = Rs. 772.72

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