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Question
The marked price of a sofa set is Rs. 36000 and is available in Guwahati at 20% discount. A shopkeeper from Delhi buys this article in Guwahati and spends Rs. 1500 on his travelling and Rs. 1200 on the transportation etc. of the article. Find the profit per cent made by the shopkeeper, if he sells the article in Delhi at the
a. marked price, b. 5% discount.
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Solution
M.P. of the sofa = Rs.36000, discount at Guwahati = 20%
S.P. = `(1 - "d"/100)` of M.P.
⇒ S.P. = `(1 - 20/100) xx 36000`
⇒ S.P. = `(80)/(100) xx 36000`
⇒ S.P. = Rs.28800
So, the S.P. at Guwahati is Rs.28800.
So, total expenses
= S.P. + travelling expenses + transportation of the article
= Rs.28800 + Rs.1500 + Rs.1200
= Rs.31500
So, the C.P. at Delhi = Rs.31500
a. S.P. at Delhi
= marked price
= Rs.36000
So, profit
= S.P. - C.P.
= Rs.36000 - Rs.31500
= Rs.4500
Profit %
= `"Profit"/"C.P." xx 100`
= `(4500)/(31500) xx 100`
= `14(2)/(7)`%
b. discount = 5% of 36000
= `(5)/(100) xx 36000`
= Rs.1800
⇒ S.P.
= 36000 - 1800
= Rs.34200
So, Profit
= S.P. - C.P.
= Rs.34200 - Rs.31500
= Rs.2700
Profit %
= `"Profit"/"C.P." xx 100`
= `(2700)/(31500) xx 100`
= `8(4)/(7)`%.
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