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A bought a radio set and spent Rs.110 on its repairs. He then sold it to B at 20% profit, B sold it to C at a loss of 10% and C sold it for Rs.1188 at a profit of 10%. What is the amount for which A bought the radio set ?

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answer is B.

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Detailed Solution

Concept: Let's assume that

is A's cost price. The selling price of A, which is making a

profit on

, will now be the cost price of B. However, the cost price of C, which represents a

loss on the cost price of B, will equal the selling price of B. Further simplification yields the value of

, however the

profit on this cost price of C is given as Rs. 1188. Now, the amount A spent is found by taking 110 out of

.
If profit is

then,

If loss is

then,

Let's assume that A's cost is Rs.

The cost price of B, which is now given by, will equal the selling price of A.
A sells at a profit of

as we already know
on substituting the respective values,

Considering that B sells at a

loss once more

In this case, the cost price of C will be the selling price of B.
given C sold it at a profit of

which is Rs.1188
SP of C = Rs.1188
from the profit formula we get,

on substituting the respective value we get,
Question Image

Now, the price at which A purchased is revealed by deducting the costs he incurred for the repairs.

Hence, the correct answer is option (2) .

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