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Naresh Patel Ch

· started a discussion

· 1 Months ago

Wrong options (Question:122999.0)

ans should be 2600

Question:
A person bought an item and sold it at a loss of 5%. If he had bought it for 10% less and sold it for \(\unicode{x20B9} \)390 more, he would have had a profit of 20%, Find the cost price of the item. 
Options:
A) \(\unicode{x20B9} \)1305.69
B) \(\unicode{x20B9} \)1306.69
C) \(\unicode{x20B9} \)3000
D) \(\unicode{x20B9} \)1308.69
Solution:

Let Actual C.P.= \(\unicode{x20B9} \)100 

Loss = 5% 

Actual S.P. = \(\unicode{x20B9} \)95

Suppose C.P. at a loss of 10% = \(\unicode{x20B9} \)90

Suppose SP at 20% gain = \(\cfrac{90 × 120}{100}\) = \(\unicode{x20B9} \)108 

Difference in selling price = 108 – 95 = Rs.13 

C.P. = \(\left ( \cfrac {100}{13} \right )\) × 390

= \(\unicode{x20B9} \)3000.

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