Question

There was 25% off on shirt. A lady bought a shirt and got an additional 20% discount for paying in cash
and further 10% discount for being a loyal customer. She paid ₹405. What was the price tag (in ₹) on the
shirt?

Answer 1

Answer:

The market price of shirt is Rs 750 .

Step-by-step explanation:

Given as :

The discount percentage on shirt = $d_1$% = 25 %

The additional discount percentage = $d_2$ % = 20%

The loyal customer discount percentage = $d_3$% = 10%

The Selling price of shirt after all discount = s.p = Rs 405

Let The market price on shirt = Rs m.p

According to question

Equivalent discount percentage

i.e First equivalent discount = 25% + 20% - $\frac{25\times 20}{100}$

Or,  First equivalent discount = 45% - $\frac{25\times 20}{100}$

or, First equivalent discount = 45 % - 5% = 40%

Again

Second equivalent discount = 40% + 10% - $\dfrac{40\times 10}{100}$

Or,  Second equivalent discount = 50% - $\dfrac{40\times 10}{100}$

Or,  Second equivalent discount = 50% - 4 % = 46 %

So, Equivalent discount percentage = 46%

Since we know

Discount % = $\dfrac{m.p - s.p}{m.p}$

or, 46% = 1 - $\dfrac{405}{m.p}$

Or, $\dfrac{405}{m.p}$ = 1 - 0.46

Or, $\dfrac{405}{m.p}$ = 0.54

∴  m. p = $\dfrac{405}{0.54}$

Or, m.p = 750

So, The market price of shirt = m.p = Rs 750

Hence, The market price of shirt is Rs 750 . Answer