yadavsuvash111
Answered

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A dealer marked the price of a digital watch as Rs 6,000. She then allowed 20% discount to make 20% profit. If she increased the discount to 25%, by how much was the profit percent decreased?​

Sagot :

msm555

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%

semsee45

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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