Question

A sold an article to B at 30% gain B sold it to C at a gain of 10% and C sold it to D making a profit of 50 % if D has purchased it for rupees 429 find the cost price of A?​

Answer 1

Solution :-

Let the cost price of an article for A be Rs x.

A sold an article to B at 30% gain.

So, Selling price = C.P + gain% of C.P

= x + 30% of x

= x + 0.3x = 1.3x

It's cost price for B.

B sold it to C at a gain of 10%.

Selling price = C.P + gain% of C.P

= 1.3x + 10% of 1.3x

= 1.3x + 0.13x = 1.43x

It's cost price for C.

Now, C sold it to D making a profit of 50 %.

Selling price = C.P + gain% of C.P

= 1.43x + 50% of 1.43x

= 1.43x + 0.715x = 2.145x

It's cost price for D.

It's given that D has purchased it for Rs 429

Therefore,

=> 2.145x = 429

=> x = 429/2.145 = 200

Hence,

The cost price of an article for A = Rs 200

Answer 2

Answer

Step by step explanation

Let C. P of A would be yRs

A sold to an article to B at 30% profit

So,

S.P = y + 30% of y

S. P = y + 0.3y = 1.3y

It is C. P of B

_______________________________

B sold it again to C at 10% profit

So,

S.P = 1.3y + 10% of 1.3y

S.P = 1.3y + 0.13y

S.P = 1.16y

It is C.P of C

______________________________

Now C sold it to D for 50% profit

S.P = 1.16y + 50% of 1.16

S.P = 1.16y + 0.58y = 1.74y

It is cost price of D

_______________________________

Now,

1.74y = 429

y = 429/1.74 = 247 ( approx)

Hence cost price of A is 247 Rs

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