The cost of a gel pen is 25% more than the cost of a ballpoint pen. If the cost of eight gel pens and ten ballpoint pens is Rs.400, find the cost of ten gel pens and eight ball point pens.
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Cost of 10 gel pens and 8 ball pens
(10×25) + (8×20)
250 + 160
₹410
Step-by-step explanation:
Let the cost of 1 ball pen be x.
Then, Cost of 1 gel pen be
= (x + x×25/100)
= (x + 25x/100)
= (100x+25x)/100
= 125x/100
= 5x/4
According to question,
Cost of 8 gel pens and 10 ball pens is ₹400.
8×(5x/4) + 10×x = 400
40x/4 + 10x = 400
(40x + 40x)/4 = 400
80x = 400×4
80x = 1600
x = 1600/80 = 20
Cost of 1 ball pen is ₹20.
Then, finding Cost of 1 gel pen,
5x/4 = (5×20)/4 = 100/4 = ₹25.
Cost of 1 ball pen is ₹20.
Cost of 1 gel pen is ₹25.
Cost of 10 gel pens and 8 ball pens
(10×25) + (8×20)
250 + 160
₹410
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