Question

a man sold a bicycle at 5% profit if the cost has had been 30% less and the selling price rupees 63 less he would have made a profit of 30% what was the cost price of the bicycle​

Answer 1

$\huge{\mathfrak{\pink{Question:-}}}$

A man sold a bicycle at 5% profit if the cost has had been 30% less and the selling price rupees 63 less he would have made a profit of 30% what was the cost price of the bicycle.

$\huge{\mathfrak{\red{Answer:-}}}$

Solution :-

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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

So, the cost price of the bicycle is $\boxed{ Rs. 450}$

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