Question

a dealer by a cycle for ₹ 1250 and marks it at 40 % above its cost price . if he allows 8 % discount , find : marked price​

Answer 1

Step-by-step explanation:

Correct Question:-

A dealer buys a bicycle for rupees 1250 and marks it at 40% above its cost price. If he allows 8% discount, find its marked price, selling price and profit percent.

Solution:-

Cost price of the bicycle (CP) = Rs.1250

$\sf Marked \:price = CP + 40% of CP</p><p></p><p>[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \: \: \: \sf= 1250 + \dfrac{40}{100} \times 1250$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \: \: \: \:$ = 1250 + 500

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \sf \: \: \:= 1750$

$\sf \therefore \underline{Marked\: price\: of \: the\: bicycle\: (MP) = Rs.1750}$

$\sf Given, Discount\% = 8\%$

$\sf\dashrightarrow Discount = Discount\% \: of \: MP$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 8\% \: of \: 1750$

$\sf\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:= \dfrac{8}{100}\times 1750$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{8}{100}\times 1750$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=140$

$\sf Discount = Rs.140$

$\sf Selling \: price = Marked \: price - Discount$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 1750 - 140$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 1610$

$\sf \therefore \underline{Selling \: price\: of \: the\: bicycle\: (SP) = Rs.1610}$

$\sf Now, \: Profit = SP - CP$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = 1610 - 1250$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = 360$

$\sf Profit\% = \dfrac{Profit}{CP}\times 100$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = \dfrac{360}{1260}\times100$

$\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = 28.8\%$

$\sf \therefore \underline{Profit\% = 28.8\%}$