NIFT PG 2020 Question Paper with solutions

Question : 21 of 150

Marks: +1, -0

M r x

and

{Mr} y

each bought the same motorcycle using a

10 \%

off coupon.

{Mr} x

's cashier took

10 \%

off the price and then added

8.5 \%

sales tax, whereas Mr y's cashier first added the sales tax and then took

10 \%

off the total price. The amount

M r x

paid is

Solution:

Let CP of motorcycle

=₹ 100

∴

Cost paid by Mr x

=(100-10 \%

of 100

)+85 \%

(100-10 \%

of 100

)

=(100-10)+\{85 \%

(100-10)\}

=90+7.65=97.65

Now, cost paid by Mr y

=(100+8.5 \%

of 100

)

-\{10 \%

(100+8.5 \%

of 100

)\}

=1085-(10 \%

of 108.5

)=108.5-10.85=97.65

So, both Mr x and Mr y paid the same amount.

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