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Sagot :
Profit decreased by 7.5%
Answer:
Solution Given:
Marked Price= Rs 6,000
discount =20%
Selling Price =M.P- discount% of M.P
=M.P(1-discount%)
=6000(1-20%)
= Rs 4,800
Again
Profit = 20%
Cost Price=(S.P*100)/(100+profit%)
= (4800*100)/(100+20%)
= Rs 4,000
For discount 25%
Marked Price =Rs 6,000
Selling Price =M.P - discount% of M.P
=M.P(1-discount%)
=6000(1-25%)
=Rs 4,500
Profit = S.P- C.P= Rs 4,500- Rs 4,000=Rs 500
Profit %=Profit/C.P* 100%= 500/4000*100 = 12.5%
Profit % decreased from 20% to 12.5%
Profit decreased by 7.5%
Answer:
7.5%
Step-by-step explanation:
Marked Price
Rs 6,000
Discounted Price
If the price is discounted by 20%, then the discounted price is 80% of the marked price:
[tex]\implies \sf Discounted\:Price =80\% \textsf{ of marked price}[/tex]
[tex]\implies \sf Discounted\:Price =0.8 \times 6000[/tex]
[tex]\implies \sf Discounted\:Price = 4800\:Rs[/tex]
Cost Price
If the dealer makes 20% when selling the watch at the discounted price, then the cost price is:
[tex]\implies \sf Cost\:Price=\dfrac{100\%}{120\%} \times 4800[/tex]
[tex]\implies \sf Cost\:Price=\dfrac{4800}{1.2}[/tex]
[tex]\implies \sf Cost\:Price=4000\:Rs[/tex]
Discount of 25%
If the price is discounted by 25%, then the discounted price is 75% of the marked price:
[tex]\implies \sf Discounted\:Price =75\% \textsf{ of marked price}[/tex]
[tex]\implies \sf Discounted\:Price =0.75\times 6000[/tex]
[tex]\implies \sf Discounted\:Price = 4500\:Rs[/tex]
Profit after 25% discount
[tex]\implies \sf Profit=\dfrac{discounted\:price}{cost\:price}-1 \times 100[/tex]
[tex]\implies \sf Profit=\dfrac{4500}{4000}-1 \times 100[/tex]
[tex]\implies \sf Profit=12.5\%[/tex]
Therefore, the profit decreased from 20% to 12.5% which means the profit percent decreased by 7.5%.
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