Question

Mr. Tandon purchased a computer for Rs. 32000 and a microwave oven for Rs. 6500. On the computer he lost 5% and on the microwave he gained 15%. Find his total gain or loss per cent.
A. Gain = 7%
B. Gain = 6%
C. Loss = 7%
D. Loss = 6%

Answer 1

Hint: When there is a gain and we have the value of Cost Price then use the formula, $SP = \dfrac{{100 + P\% }}{{100}} \times CP$ to find the Selling Price and if there is a loss then the formula is $SP = \dfrac{{100 - l\% }}{{100}} \times CP$ .

Complete step-by-step answer:
Given in the question-
CP of computer = Rs.32000, Loss % on computer = 5%.
CP of microwave = Rs. 6500, Gain % on microwave = 15%.
Now, to find the selling price (SP) of a computer, we use the formula $SP = \dfrac{{100 - l\% }}{{100}} \times CP$ , since there is a loss.
Putting the value of CP of computer, loss % in the above formula we have-
$SP = \dfrac{{100 - 5}}{{100}} \times 32000 = \dfrac{{95}}{{100}} \times 32000 = 30400$
Now, to find the selling price (SP) of a microwave, we use the formula $SP = \dfrac{{100 + P\% }}{{100}} \times CP$ , since there is a profit.
Putting the value of CP of computer, profit % in the above formula we have-
$SP = \dfrac{{100 + 15}}{{100}} \times 6500 = \dfrac{{115}}{{100}} \times 6500 = 7475$
Now, the total CP is = CP of computer + CP of microwave
$ = 32000 + 6500 = 38500$
Now, also the total SP = SP of computer + SP of microwave
$ = 30400 + 7475 = 37875$
Now since the total CP > total SP, so there is a loss
Loss = CP – SP = 38500 – 37875 = Rs. 625
So, the loss % will be $\dfrac{l}{{CP}} \times 100\% $ , where l is the loss and CP is the Cost Price.
Putting the values of loss and CP we have-
Loss % $ = \dfrac{{625}}{{38500}} \times 100 = \dfrac{{125}}{{77}} = 1.62\% $
The loss is 1.62%, so none of the above options are correct.

Note – Whenever such types of questions appear then first write down the things given in the question and then find the selling price of both the items. Then if the selling price < cost price then there will be a loss and to find the loss % use the formula, $\dfrac{l}{{CP}} \times 100\% $ , which will give the loss%.