A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price he still makes a profit of 50%. Find the ratio of cost price to marked price.
Answers
Answer:
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Step-by-step explanation:
A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. What is the ratio of the C.P. to the M.P.?
Productivity maximized.
A. Assuming the 50% is on cost
Cost (C) + profit = discounted price (DSP)+ discount = marked price (MSP)
MSP = 100
- 25
DSP 75
profit 50/150 x DSP = 25
C = 50
B. If the 50% is on DSP then
D = 75
profit 50% x 75 = 37.5
C = 75 - 37.5 = 37.5
Answer:
1:2
Step-by-step explanation:
Given,
Discount = 25%
Discount = (MP × Discount %)/100
= (MP×25)/100
= Rs 25MP/100
SP = MP – Discount
= (MP – 25MP/100)
= (100MP – 25MP)/100
= 75MP/100
We know that the given profit = 50%
Selling price = (100 + Gain %)/100 × CP
= (100 + 50)/100 × CP
= 150/100 × CP
= 150CP/100
By equating both SP we get,
75MP/100 = 150CP/100
75MP/150CP = 100/100
75MP/150CP = 1
(By cross multiplying)
CP/MP = 75/150
= 1/2
∴ The ratio CP to MP = 1:2