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 - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
1500
B
1600
C
1200
D
1100

Solution:

Profit =7%
According to Question
Profit = S.P-C.P
Profit % =

\frac{SP - CP}{CP \times 100}

\frac{SP - CP}{CP \times 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

\times

100
12=(SP+60)-CP/CP

\times

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

\times \frac{100}{5}

CP =1200
Exam Type: CBSE

Solution:

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