A Cricket bat is sold at a profit of 7%. Had it been sold for Rs. 60. more, the profit percent would have been 12%. Find the cost price of the bat

# A Cricket bat is sold at a profit of 7%. Had it been sold for Rs. 60. more, the profit percent would have been 12%. Find the cost price of the bat

1. A
1500
2. B
1600
3. C
1200
4. D
1100

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### Solution:

Profit =7%
According to Question
Profit = S.P-C.P
Profit % = $\frac{\mathit{SP}-\mathit{CP}}{\mathit{CP}×100}$
7= $\frac{\mathit{SP}-\mathit{CP}}{\mathit{CP}×100}$
0.7 C.P. = S.P- C.P
SP =1.07 CP     --------(i)
0.07sp-cp sp =1-07cp -----(i)
According to question
A ball sold for 60 more
SP1 = SP + 60
Profit % =SP1-CP/CP $×$100
12=(SP+60)-CP/CP$×$100
0.12CP=SP-CP+60
SP+60=1.12CP-(ii)
Subtracting  equation-(i) from equation -(ii)
(SP+60=1.12 CP )-(SP=1.07CP)
SP+60=1.12 CP
-SP = - 1.07 CP
60=0.05 CP
60=$\frac{5}{100}$ CP
CP = 60$×\frac{100}{5}$
CP =1200
Exam  Type:  CBSE

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