Question

a man sold a bicycle at 5% profit. if the cost had been 30% less and selling price be 63 less, he would have gained 20%. find the cp of the bicycle?
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Answer 1

$\large\boxed{\underline{\mathcal{\red{SoLUtION}}}}$

$\bf\large\green{According \:To\: Question}$

SP - CP / CP × 100 = 5

SP - CP / CP = 0.05

SP -CP = 0.05CP

SP = 1.05CP ......(i)

New CP = CP - 0.3CP

New CP = 0.7CP

New SP = SP - 63

SP - 63 - 0.7CP/0.7CP = 0.3

☆From equation (i)

0.35CP - 63 / 0.7CP = 0.3

0.14CP = 63

CP = 450

•°•Initial CP = Rs.450

Answer 2

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

a man sold a bicycle at 5% profit. if the cost had been 30% less and selling price be 63 less, he would have gained 20%. find the cp of the bicycle?

$\huge{\underline{\underline{\mathfrak{\pink{Answer:-}}}}}$

Let C.P. of the bicycle = Rs.100

In the I case :

When Profit = 5% ;

$cp = (100 - \frac{30}{100} \times 100)$

= Rs .(100-30) = rs.70

profit = 30%

$= sp = \frac{100 + pofit}{100} \times cp$

$= sp = \frac{100 + 30\%}{100} \times 100$

$= \frac{130}{100} \times 70$

$= rs.91$

difference of two selling prices

= 105 -91 = 14rs

If difference = rs 14 then,

CP of bicycle = rs 100

if difference = rs 1 then,

CP of bicycle = rs 100/14

if difference = rs 63 then,

CP of bicycle= rs 100/14×63

therefore,

100×63÷14 = rs 50×9 = rs 450

Hope it helps u