Qstnid -B-7- A Man Sells A Radio-set For Rs.605 And Gains 10%. At What Price Should He Sell Another Radio Of The Same Kind, In Order To Gain 16 %? - 08: Profit, Loss And Discount Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 4

Qstn# B-7 Prvs-Qstn Next-Qstn

#7
A man sells a radio-set for Rs.605 and gains 10%. At what price should he sell another radio of the same kind, in order to gain 16 %?
Ans : In the first condition,
S.P. of a radio-set = Rs. 605
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 × 111
= Rs. 638
∴ Radio should be sold at Rs. 638