A shopkeeper purchased a washing machine of 10,000, he sells it at discount of 10% and still makes a profit of 15% 1. find the selling price 2. find the Marked price.
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Given :- cost price of machine = rs 10000
discount % = 10%
profit % = 15%
To find :- the selling price (SP)
the marked price (MP)
Solution:-
- let SP be x
- profit = SP-CP = (x-10000)
- profit % = profit/CP * 100 = (x-10000)/10000*100 = (x-10000)/100
- 15= (x-10000)/100
- 15*100= x-10000
- 1500 = x-10000
- 1500+10000= x
- 11500= selling price
- marked price(MP) = discount + selling price of machine
- the cost price of machine is the seeling price of the person from whom it is purchased
- Discount = mp-sp = MP- 10000
- discount % = discount/mp * 100
- 10 = (MP-10000)/MP*100
- 10 MP = (MP-10000)*100
- 10 MP = 100 MP - 1000000
- 1000000= 100MP-10MP
- 1000000=90 MP
- 100000/9 = MP
- 11111.11 =MP
Answer : hence the SP is 11500 and MP is 11111.11
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