Mr. tandon purchase a computer for rs.32000 and a microwave oven for rs. 6500 and on selling the computer he lost 5% and on selling the microwave he gained 15%. find his total loss and gain percent??
2. if mr tandon sold the oven at the same price and computer for 33000 find his gain
answer the second part also
Answers
Hint: When there is a gain and we have the value of Cost Price then use the formula, SP=100+P%100×CP to find the Selling Price and if there is a loss then the formula is SP=100−l%100×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=100−l%100×CP , since there is a loss.
- Putting the value of CP of computer, loss % in the above formula we have-
SP=100−5100×32000=95100×32000=30400
- Now, to find the selling price (SP) of a microwave, we use the formula SP=100+P%100×CP , since there is a profit.
- Putting the value of CP of computer, profit % in the above formula we have-
- SP=100+15100×6500=115100×6500=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 lCP×100% , where l is the loss and CP is the Cost Price.
- Putting the values of loss and CP we have-
- Loss % =62538500×100=12577=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, lCP×100% , which will give the loss%.
Answer:
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SOLUTION
Hint: When there is a gain and we have the value of Cost Price then use the formula, SP=100+P%100×CP to find the Selling Price and if there is a loss then the formula is SP=100−l%100×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=100−l%100×CP , since there is a loss.
Putting the value of CP of computer, loss % in the above formula we have-
SP=100−5100×32000=95100×32000=30400
Now, to find the selling price (SP) of a microwave, we use the formula SP=100+P%100×CP , since there is a profit.
Putting the value of CP of computer, profit % in the above formula we have-
SP=100+15100×6500=115100×6500=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 lCP×100% , where l is the loss and CP is the Cost Price.
Putting the values of loss and CP we have-
Loss % =62538500×100=12577=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, lCP×100% , which will give the loss%.