Question

By selling a purse for rupees 250, ranjan loses one-sixth of what it cost her. Find 1) the cost price of the purse 2) her loss percentage.

Answer 1

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 %.





Hope it helps you.
With regards@
Tanisha

Answer 2

Answer:

16 whole 2/3

but,

let's see how

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 whole 2/3 %.

I hope that you get it.

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