The ratio of cost price to selling price is 5:6. What can be the marked price if a discount of 20% is offered?
a)130
b)135
c)140
d)150
e)160
OE : D
Cost price and Selling price
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As written this seems unanswerable. We can almost solve if we make two assumptions:
i) Selling price = Marked price - 20%
ii) Each price must be an integer
Using those, we have
Cost = x
Sale = (6/5)x
Marked = (6/5)x / .8 = (3/2)x
x, (6/5)x, and (3/2)x must all be integers by assumption II. With that in mind, either B or D works: we could have Cost = $90, Selling Price = $108, and Marked Price = $135, or we could have Cost = $100, Selling Price = $120, and Marked Price = $150.
i) Selling price = Marked price - 20%
ii) Each price must be an integer
Using those, we have
Cost = x
Sale = (6/5)x
Marked = (6/5)x / .8 = (3/2)x
x, (6/5)x, and (3/2)x must all be integers by assumption II. With that in mind, either B or D works: we could have Cost = $90, Selling Price = $108, and Marked Price = $135, or we could have Cost = $100, Selling Price = $120, and Marked Price = $150.
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coolhabhi wrote:The ratio of cost price to selling price is 5:6. What can be the marked price if a discount of 20% is offered?
a)130
b)135
c)140
d)150
e)160
OE : D
We cannot find out the absolute value of marked price; however, we can get its ratio value.
On a ratio scale, selling price = 6, which is 80% of marked price.
=> Marked price = 6/80% = 6/0.8 = 7.50
Hope this helps!
-Jay
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