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Shajeer Shamras

· started a discussion

· 1 Months ago

Again the answer is wrong (Question: 178071.0 )

let cost price be x.

x sold at 5 percentage loss is .95x

if he bought for 10 percentage less and sold for 390 he would have a gain of 20 percentage..eqn as below

.9x+390=1.2*.9x
ie (1.2-1).9x=390
.2*.9x=390
.18x=390
x=390/.18=2166.6


x is the actual cost price.the other statement was a statement only.
so answer is 2166.6



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.

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
The given answer is correct,.
In your solution , in LHS you have taken .9 x + 390 but it will be .95 x + 390 because question says that if it would have been sold at 390 more so old SP + 390 will be used , i.e .95x + 390

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