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Maths Puzzle
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a watch sold for rs 448 gives a profit of only 12% .find the profit %if the selling price has been seen rs512
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- Let the cost price of the watch be Rs. 'x'
Then according to the question.
⇒ x/1 + (x*12)/100 = 448
Taking L.C.M. of the denominators and then solving it.
⇒ (100x + 12x)/100 = 448
⇒ 112x = 448*100
⇒ x = 44800/112
⇒ x = Rs. 400
So, the cost price of the watch is Rs. 400
Now, we have to find the profit % if the selling price is Rs. 512
Selling price - Cost price = Profit
Profit = 512 - 400
Profit = Rs. 112
Profit % = (Profit*100)/Cost Price
⇒ (112*100)/400
⇒ 11200/400
⇒ 28 % - 7 years agoHelpfull: Yes(0) No(0)
- let cp=x
then 448=1.12x
so cp=400
if sp=512
then profit %=(112/400)*100 =28% - 6 years agoHelpfull: Yes(0) No(0)
- 112%=448
100%=?
448*100/112=400
512=%?
100*512/400=128%
Profit 28% - 6 years agoHelpfull: Yes(0) No(0)
- Profit of 12% means it's 112% of cp=448
=>448/112=1%of cp
=>4% is 1 % cp
=>100% of cp is 400 RS
Now the product is sold for 512, which is SP
Gain= SP-CP=512-400=112
Gain %=Gain/CP *100
=112/400*100
= 28% - 6 years agoHelpfull: Yes(0) No(0)
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