Question
Download Solution PDFBy selling a table for Rs. 350 instead of Rs. 400, loss per cent increases by 5%. The cost price of the table is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Selling price (SP) when loss increases by 5% = Rs. 350
Selling price (SP) when loss is less = Rs. 400
Difference in loss percentage = 5%
Formula Used:
Loss % = [(Cost Price - Selling Price) / Cost Price] × 100
Calculation:
Let the Cost Price (CP) of the table be Rs. x.
When SP = Rs. 400:
Loss % = [(x - 400) / x] × 100
Loss % = [(x - 400) / x] × 100
When SP = Rs. 350:
Loss % = [(x - 350) / x] × 100
Loss % = [(x - 350) / x] × 100
Given that the loss % increases by 5%, so:
[(x - 350) / x] × 100 - [(x - 400) / x] × 100 = 5
[(x - 350) - (x - 400)] / x × 100 = 5
[50 / x] × 100 = 5
50 / x = 5 / 100
50 / x = 1 / 20
⇒ x = 50 × 20
⇒ x = 1000
The cost price of the table is Rs. 1000.
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