A shopkeeper allows 8% discounton
the purchase of a mobile set. What will be the selling pricer of the mobile set with 10% vat
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8th
Maths
Comparing Quantities
Prices Related to Buying and Selling
Marked price of an article ...
MATHS
Marked price of an article is Rs.2860 and rate of VAT is 8%. Shopkeeper allows a discount of 20% and still makes a profit of 10%. If he spent 4% as overheads, then find the original cost price of the article.
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ANSWER
Marked Price =Rs.2860
Vat =8%
∴S.P=M.P(1+
100
vat%
)
=2860(1+
100
8
)
=Rs.3088.8
Discount =20%
∴ Actual SP=3088.8(1−
100
20
)
=2471.04
Now,
Price without vat =2860(1−
100
20
)
=2288
Let the cost price be
′
X
′
Overheads =4%
∴NetC.P=X(1+
100
4
)
=1.04X
Profit%=(
C.P
S.P−C.P
)×100%
ATP,
10=
1.04X
2288−1.04X
×100
⇒10.4X=228800−104X
⇒114X=228800
⇒X=2000
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