The total railway fare for five members in three tier and two tier is ₹2050 whereas the total railway fare for eight members in three tier and five members in two tier is ₹3350. Find the fare paid by a couple travelling through two tier.
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let the cost of travelling in 3 tier be x and 2 tier be y
5x+3y=2050 -(i)
8x+5y=3350-(ii)
by cross multiplication method
x = y = 1
3 2050 2050 5 5 3
5 3350 3350 8 8 5
x/10050-10250 =y/16400-16750=1/25-24
×/-200=y/-350=1
x=Rs 200 is the cost of travelling in 3 tier
y=Rs 350 is the cost of travelling in 2 tier
2y
2×350
Rs 700 is the fare paid by a couple travelling through two tier
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