A man sells a radio-set for 605 and gains
10% At what price should he sell another
radio of the same kind, in order to gain 16%?
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In the first condition,
S.P. of a radio-set = Rs. 605
Gain = 10%
C.P. = 100/(100 +gain%) × S.P.
= 100/(100 + 10) × Rs. 605 = Rs. 100/110 ×605
= Rs. (100 × 605)/110 = 10 × 55 = Rs. 550
In the second condition :
C.P. = Rs. 550
Gain = 16%
S.P. = (100 + gain %)/100 × C.P.
= (100 + 16)/100 × Rs. 550 = Rs. 116/100 × 550
= Rs. (116 × 550)/100 = 58 × 11 = Rs. 638
∴ Radio should be sold at Rs. 638.
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