x sells a bicycle to y at a profit of 25% and y sells it to z at a profit of 20%. If z pays Rs.156,
how much did x pay for it?
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Hey Dear,
● Answer -
x paid Rs. 104 for the bicycle.
● Explaination -
Let m be the price x paid for the bicycle.
Cost price for x = m
x sold it to y at 25% profit.
Cost price for y = m × (100+25)/100
Cost price for y = m × 125/100
Cost price for y = 5m/4
y sold it to z at profit of 20%.
Cost price for z = 5m/4 × (100+20)/100
Cost price for z = 5m/4 × 120/100
Cost price for z = 3m/2
But we know that z paid 156 ₹ for the bicycle.
156 = 3m/2
m = 156 × 2/3
m = 104 Rs
Therefore, x paid Rs. 104 for the bicycle.
Thanks..
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