An article is bought for rupees 400 and is sold at a loss of 15%. find the S.P
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Answer:
Given:
Cost price = Rs. 400
Repairing charges = Rs. 50
Profit% = 20%
Discount% = 10%
Formula used:
(i) SP = CP × (100 + Profit%)/100
(ii) SP = MP × (100 - Discount%)/100
Where,
CP = Cost price
SP = Selling price
Calculation:
Total cost price = 400 + 50 = Rs. 450
SP = CP × (100 + Profit%)/100
SP = 450 × (100 + 20)/100
⇒ SP = Rs. 540
SP = MP × (100 - Discount%)/100
⇒ 540 = MP × (100 - 10)/100
⇒ MP = Rs. 600
∴ The marked price is Rs. 600.
Shortcut Trick
Total cost price = 400 + 50 = Rs. 450
CP : MP = (100 - Discount%) : (100 + Profit%)
⇒ 450 : MP = (100 - 10) : (100 + 20)
⇒ 450 : MP = 90 : 120
⇒ 450 : MP = 3 : 4
⇒ MP = Rs. 600
∴ The marked price is Rs. 600.
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