By selling a purse for Rs 250, Ranjana loses one sixth of what it cost her. Find the cp of purse
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Secondary School Math 5 points
By selling a purse for rs.250, Ranjana loses one-sixth of what it cost her. Find (i) the cost price of the purse (ii) her loss percentage.
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Me · Beginner
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rohangupta0424 Ace
Step-by-step explanation:
1) Let the cost price of the purse be ₹x. Then,
Loss = 1/6 of ₹x
= ₹x/6
Cost Price = Selling Price + Loss
x = 250 + x/6
x - x/6 = 250
6x - x/6 = 250
5x/6 = 250
x = 250×6/5
x = 300
Hence, the cost price of the purse is ₹300.
2) Loss = Cost Price - Selling Price
= ₹(300-250)
= ₹50
Loss % = Loss/Cost Price × 100
= 50/300 × 100
= 50/3 %
= 16 unit 2/3 %.
Answer:
Cost price of purse = ₹300
Step-by-step explanation:
CP = x
SP = ₹250
Loss money = 1/6 × x
x - 1/6 × x = 250
x - x/6 = 250
6x/6 - x/6 = 250
5x/6 = 250
5x = 250 × 6
5x = 1500
x = 1500/5
x = 300
CP = ₹300
Check ⇒
CP = ₹300
SP = ₹250
Loss money = 1/6 × 300 = ₹50
300 - 50 = 250
250 = 250
L.H.S = R.H.S
Hence, verified.
The answer is correct.
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