Three shopkeepers X,Y and Z go to a store to buy stationery items. X purchases 12 dozen marker pens, 5 dozen ink pen and 6 dozen pencils. Y purchases 10 dozen marker pens, 6 dozen ink pen and 7 dozen pencils. Z purchases 11 dozen marker pens, 13 dozen ink pens and 8 dozen pencils. A marker pen cost Rs 40/- , a pen costs Rs. 7/- and a pencil Rs. 1 /- each. Using matrix multiplication calculate the individual bills of X, Y and Z.
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Price of a marker pen= ₹40
Price of a ink pen= ₹7
Price of a pencil= ₹1
Calculation For X
No. of marker pens= 12*12 = 144
Cost of 144 markers= 144*40=₹5760
No. of ink pens=12*5=60
Cost of 60 ink pens=7*60=₹420
No. of pencils= 12*6=72
Cost of pencils= 72*1=₹72
Total bill= ₹(5760+420+72)=₹6252
Calculation For Y
No. of markers=12*10=120
Cost of markers=120*40=₹4800
No. of ink pens=12*6=72
Cost of ink pens=72*7=₹504
No. of pencils=12*7=84
Cost of pencils=84*1=₹84
Total bill=₹(4800+504+84)=₹5388
Calculation For Z
No. of markers=12*11=132
Cost of markers=132*40=₹5280
No. of ink pens= 12*13=156
Cost of ink pens= 156*7=₹1092
No. of pencils= 12*8=96
Cost of pencils=96*1=₹96
Total bill=₹(5280+1092+96)=₹6468
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