a shopkeeper sold a watch at a profit of 12%. If he had sold it for ₹144 more he would have made a profit of 18%. find the ceiling price of the watch
Answers
Answer:
The cost price of the watch is Rs.200.
Step-by-step explanation:
Given : A shopkeeper sold a watch at a profit of 12% . If he had sold it for 144 more he would have made a profit of 18%.
To find : The cost price of the watch ?
Let the cost price of the watch = x
A shopkeeper sold a watch at a profit of 12%.
The price is p=x+\frac{12}{100}\times x=1.12xp=x+
100
12
×x=1.12x
He sell the article for Rs. 12 more
The Selling Price is SP=1.12x+12SP=1.12x+12
According to the question,
18=\frac{1.12x+12-x}{x}\times10018=
x
1.12x+12−x
×100
18=\frac{0.12x+12}{x}\times10018=
x
0.12x+12
×100
0.18x=0.12x+120.18x=0.12x+12
0.18x-0.12x=120.18x−0.12x=12
0.06x=120.06x=12
x=\frac{12}{0.06}x=
0.06
12
x=200x=200
The cost price of the watch is Rs.200
Answer:
Let the C P of the toy = Rs.1oo
If the gain is 12%, the first S P = 100 + 12 = Rs.112
If he had been sold Rs.33 more gain = 14 %
Therefore second S P = 100 = 14 = Rs 114 .
Difference in second S P and first S P = Rs.2 [ 114 - 112=2]
If Rs,2 is the difference in S P , cost price = Rs. 100
If the difference in S P is Rs.33, cost price = 100/2*33= 50 x 33 = Rs1650