10. A watch was sold at a profit of 12%. Had it been sold for 533 more, the profit would have been 14%.
Find the cost price of the watch.
Answers
Answer:
1650
Step-by-step explanation:
Given : A watch was sold at a profit of 12%. Had it been sold for Rs.33 more, the profit would have been 14%.
To find : The cost price of the watch ?
Solution :
Let the cost price be 'x'.
A watch was sold at a profit of 12%.
The selling price is SP=\frac{100+P\%}{100}\times CPSP=
100
100+P%
×CP
SP=\frac{100+12}{100}\times xSP=
100
100+12
×x
SP=\frac{112}{100}\times xSP=
100
112
×x
SP=1.12xSP=1.12x
The profit would have been 14%.
The selling price is SP=\frac{100+P\%}{100}\times CPSP=
100
100+P%
×CP
SP=\frac{100+14}{100}\times xSP=
100
100+14
×x
SP=\frac{114}{100}\times xSP=
100
114
×x
SP=1.14xSP=1.14x
A watch was sold at a profit of 12%. Had it been sold for Rs.33 more, the profit would have been 14%.
i.e. 1.12x+33 = 1.14x1.12x+33=1.14x
1.14x-1.12x=331.14x−1.12x=33
0.02x=330.02x=33
x=\frac{33}{0.02}x=
0.02
33x=1650x=1650