Question

4. 'A' sells an item 'B' at 20% profit
and 'B' sells it
to 'C' at 25% profit. Accordingly, if
the 'C' to the object *
1,200 to sell , how much the initial
cost of the object (R) ?​

Answer 1

Answer:720

Step-by-step explanation:for b to c it will be 1200*25/100=300

Therefore it will be 1200-300=900

For A to B it will be 900*20/100=180

Therefore 900-180=720

Hence initial cost =720

Answer 2

The initial cost of object =Rs 800

Step-by-step explanation:

Let initial cost of the object=x

Cost of B =S.P of A

Profit =20%

S.P of A=C.P+profit=$x+\frac{20}{100}x=\frac{100x+20x}{100}=\frac{120}{100}x$

S.P of B=C.P of C

Cost of object for B=$\frac{6}{5}x$

Profit of B=25%

S.P of B=C.P+profit=$\frac{6}{5}x+\frac{25}{100}\times \frac{6}{5}x$

S.P of B=$\frac{6}{5}x+\frac{6}{20}x=\frac{24x+6x}{20}x=\frac{30}{20}x=\frac{3}{2}x$

Cost  of object for C=Rs 1200

$\frac{3}{2}x=1200$

$x=\frac{1200\times 2}{3}=800$

Hence, the initial cost of object =Rs 800

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