P sold his bicycle to Q at a profit of 10%. Q sold it to R for N209 at a loss of 5%. How much did the bicycle cost P?

Kkinni

2 years ago

The calculation has no proof in mathematics 😏😏
It may not be accepted in Waec 😕😕

@Myschool
Just put the one with formula

FAECSB7610542

1 year ago

Let the cost price that P bought it be represented by 'x', and the selling price from P to Q represented by 'a'; since it is a percentage PROFIT of 10%, then:
[(a - x) ÷ x]*100 = 10
(a - x)/x = 0.1, if you divide through by 100, then multiply through by x
(a - x) = 0.1x
a = 0.1x + x
a = 1.1x
x = a/1.1 ......(i)

The selling price from P to Q {a} is the cost price Q bought it. Let the price Q sold it to R be represented by 'y'; since it is a percentage LOSS of 5%, then:
[(a - y)÷a]*100 = 5
(a - y)÷a = 0.05
(a - y) = 0.05a
a - 0.05a = y
0.95a = y
y = 209 from the question
0.95a = 209
a = 209/0.95
a = 220
But we were asked to find the cost price P bought it,
Recall from equ-(i)
x = a/1.1
x = 220/1.1
x = 200.

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