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A shopkeeper sold an item for Rs 1,510 a...

A shopkeeper sold an item for Rs 1,510 after giving a discount of `24(1)/(2)%` and thereby incurred a loss of 10%. Had he sold the item without discount, his net profit would have been

A

₹ 641

B

₹ `322(1)/(9)`

C

₹ `422(2)/(9)`

D

₹ `322(2)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
वस्तु का क्रयमूल्य = `1510/(100-10)xx100`
= `(151xx100)/9`
= ₹ 1677.78
वस्तु का अंकित मूल्य = `1510/(100-24.5)xx100`
= `1510/75.5xx100` = ₹ 2000
`therefore` यदि बस्तु को अंकित मूल्य पर बेचा जाए तो लाभ
= 2000 - 1677.78
= ₹ `322(2)/(9)`
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