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Ramesh buys an article for 15% less than its original value, and sells it for 10% more than its original value. Find the percentage of gain (approxima
Question

Ramesh buys an article for 15% less than its original value, and sells it for 10% more than its original value. Find the percentage of gain (approximately).

A.

25.62%

B.

41.52%

C.

31.25%

D.

29.41%

Correct option is D

Given:

Cost Price = 15% less than original value. Selling Price = 10% more than the original price.

Formula Used:

Profit percentage = (S.PC.P)C.P×100%\frac{(S.P - C.P)}{ C.P}× 100 \%

Where,

S.P = Selling price And C.P = Cost price

Solution:

Let the original value be 100 ₹. So the Cost Price of article for Ramesh = 15% less than 100: 

=>CP=10015100×100%=> CP = 100 - \frac{15 }{ 100} × 100 \% ​​

=> CP = 85 ₹ 

Selling Price of article = 10% more than the original value:

=>SP=100+(10100)×100=> SP = 100 + (\frac{10 }{ 100}) × 100​​

=> SP = 110 ₹ Now,

Profit percentage

=[(S.PC.P)C.P]×100 =>(11085)85×100= [\frac{(S.P - C.P) }{C.P}] × 100 \\\ \\=>\frac{ (110 - 85) }{ 85} × 100 ​​

=> 29.41%

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