Question

by selling a table for rupees 3168 Rashid loses 12% find its cost price what percent would he gain or lose by selling a table for rupees 3870​

Answer 1

Given:

By selling a table for rupees 3168 Rashid loses 12%

To find:

What per cent would he gain or lose by selling a table for rupees 3870​?

Solution:

The S.P. of the table = Rs. 3168

Loss = 12%

∴ C.P. of the table is,

= $\frac{100}{100 - L\%} \times S.P.$

= $\frac{100}{100 - 12} \times 3168$

= $\frac{100}{88} \times 3168$

= $100 \times 36$

= $\bold{Rs. \:3600}$

We can see that the C.P. of the table i.e., Rs. 3600 is less than the new S.P. of table Rs. 3870, therefore Rashid will make a profit in the transaction.

Now,

The profit percentage is,

= $\frac{S.P. - C.P. }{C.P.} \times 100$

= $\frac{3870 - 3600 }{3600} \times 100$

= $\frac{270 }{3600} \times 100$

= $\bold{7.5\%}$

Thus, Rashid would make a profit of 7.5% by selling a table for Rs. 3870.

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