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10. A man sold a bicycle at 5% profit. If the costhad been 30% less and the selling price 63less, he would have made a profit of 30%.What was the cost price of the bicycle ?

Answer»

Solution :-

Let the cost price be Rs. 100.

Gain = 5 %

Selling price = 100 + 5 % of 100

S.P. = Rs. 105

If the C.P. had been 30 % less then,

Supposed C.P. = Rs. 70

Gain = 30 %

S.P. = 70 + 30 % of 70

= 70 + 21

New S.P. = Rs. 91

Difference between old S.P. and new S.P. = 105 - 91

= Rs. 14

If the difference is Rs. 14 then the C.P. = Rs. 100

If the difference is Rs. 1 then the C.P. = 100/14

If the difference is Rs. 63 then the C.P. will be = (100*63)/14

Cost Price = Rs. 450

Hence, the cost price of the bicycle is Rs. 450

Answer.

is the correct answer Plz accepted as best

Let the c.p be $ 100gain=5%sp=100×5% of 100sp =$105if the C.P had been 30%less then

supposed C.P =70gain =30%SP=70+30%of70new S.P=91deffrence between old SP and newSP=105-91=14then the CP is 14 if the difference is 14 then the CP=100 if the difference is 1 then the CP=100/4if the difference is 63 then the CP=(100*63)/14hense,the cost price of bicycle=450

let the CP be Rs.100Gain = 5%S.p = 100+5%×100sp = Rs 105if the CP had been 30% less thencp supposed = 70gain =30%sp = 70+30%×70= 70+21sp = 91differences between these =105-91= 14



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