Question

A man sells a radio set at a gain of 5%. Had he sold it for Rs 490 less, he would have lost 2%. Find the cost price of the radio set.

Answer 1

C.P = x
gain = 5 %

S.P = x+(5/100)x
= x+(1/20)x
= (21/20)x
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Now if S.P were to be ₹490 less , then ;

S.P = (21/20)x - 490
C.P = x
Loss = 2 %

S.P = x - (2/100)x

(21/20)x - 490 = x - (1/50)x

(21/20)x + (49/50)x = 490

[ (105+98)/100 ] x = 490

x = 49000/203

x = 241.37
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Hence the cost price of the Radio set is ₹ 241.37

Answer 2

Answer:

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