Question

an article is marked at rupee 2250 if discount offered is 12 percent and still the profit is 10 percent. find SP, CP​

Answer 1

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8th

Maths

Comparing Quantities

Prices Related to Buying and Selling

An article is marked at Rs....

MATHS

An article is marked at Rs. 2,250. By selling it at a discount of 12%, the dealer makes a profit of 10%. Find the cost price of the article for the dealer.

A

Rs. 1,500

B

Rs. 1,600

C

Rs. 1,700

D

Rs. 1,800

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ANSWER

Discount =12 % of Marked Price =10012×2,250=Rs270 

And Selling price will be = Marked Price −Discount =Rs2,250−Rs270=Rs1,980

Now, with this S.P. and for Profit % =C.P.S.P.−C.P.×100=10 %, we have

=>C.P.1,980−C.P.×100=10

=>1,980−C.P.=0.1C.P.

1.1C.P.=1,980

=>C.P.=Rs1,800

Answer 2

Answer:(i) Marked Price = Rs. 2,250

S.P. = (2250(100 – 12))/100= (2250 × 88)/100 = 45 × 44

= Rs. 1980

(ii) S.P. = Rs. 1980,  Profit = 10%

∴ C.P. of the article = (100/110) × 1980 = 100 × 18

= Rs. 1800

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