If the cost of 8 erasers and 5 sharpeners is Rs. 31/-, what will be the cost of 24 erasers and 10
sharpeners?
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Rs. 78 would be the cost of 24 erasers and 10 sharpeners.
Step-by-step explanation:
Let the cost of an eraser = x
Let the cost of a sharpener = y
so,
8x + 5y = 31 ...(i)
Considering 78 to be the cost of 24 sharpeners and 10 erasers(out of the given options),
24x + 10y = 78 ...(ii)
By solving (i) and (ii), we get
The cost of each eraser = Rs. 2
The cost of each sharpener = Rs. 3
Thus,
Cost of erasers = 8 * 2 = Rs. 16
Cost of sharpeners = 5 * 3 = Rs. 15
Now,
The cost of 24 erasers = 24 * Rs. 2 = Rs. 48
The cost of 10 sharpeners = 10 * Rs. 3 = Rs. 30
∵ The total cost of 24 erasers and 10 sharpeners is 48 + 30 = Rs. 78
Learn more: find the cost price
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