A dealer bought a refrigerator for rupees 11515.after allowing a discount of 16%on its marked price he gains 20%.find the marked price of refrigerator.
Answers
Answer:
The marked price of the refrigerator is Rs 16450 .
Step-by-step explanation:
As given
A dealer bought a refrigerator for rupees 11515.after allowing a discount of 16%on its marked price he gains 20%.
20% is written in the decimal form
= 0.20
Gain amount = 0.20 × Cost price of the refrigerator
= 0.20 × 11515
= Rs 2303
Thus
Selling price of the refrigerator = Cost price of the refrigerator + Gain amount
Put all the values in the above
Selling price of the refrigerator = Rs 11515 + Rs 2303
= Rs 13818
Let us amount the marked price of the refrigerator be y .
16% is written in the decimal form
= 0.16
Thus
Discount on the refrigerator = 0.16 × Marked price of the refrigerator .
= 0.16y
Thus
Marked price - Discount on the refrigerator = Selling price
Put all the values in the above
y - 0.16y = 13818
0.84y = 13818
y = Rs 16450
Therefore the marked price of the refrigerator is Rs 16450 .