Question

A bag marked at Rs200 is sold at Rs160.Find the rate of discount
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Answer 1

Given

• Marked Price = Rs. 200.
• Selling Price = Rs. 160.

To Find

• Rate of Discount.

Solution

In this question we are given marked and selling price and is asking to find rate of discount or discount percentage. We will first calculate discount and then we will calculate rate of discount.

Discount = MP - SP = 200 - 160 = Rs. 40.

Discount% = D/MP × 100 = 40/200 × 100

= 20%.

∴ Rate of discount is 20%.

Verification

MP = Rs. 200.

Rate of discount = 20%

Discount = 20/100 × 200 = Rs. 40.

SP = MP - discount = 200 - 40 = Rs. 160.

We got selling price from rate of discount, therefore our answer is correct.

Hence, verified ✓

Used Abbreviations

MP = Marked Price.

SP = Selling Price.

D = Discount.

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Answer 2

Answer:

Given :-

• A bag marked at Rs 200 is sold at Rs 160.

To Find :-

• What is the rate of discount.

Formula Used :-

$\clubsuit$ Discount Formula :

$\mapsto \sf\boxed{\bold{\pink{Discount =\: M.P - S.P}}}$

where,

• M.P = Marked Price
• S.P = Selling Price

$\bigstar$ Rate of discount or discount% Formula :

$\small \longrightarrow \sf\boxed{\bold{\pink{Discount\% =\: \bigg\lgroup \dfrac{Discount}{Marked\: Price} \times 100\bigg\rgroup \%}}}$

Solution :-

First, we have to find the discount :

Given :

• Marked Price = Rs 200
• Selling Price = Rs 160

According to the question by using the formula we get,

$\implies \sf Discount =\: Rs\: 200 - Rs\: 160$

$\implies \sf\bold{\purple{Discount =\: Rs\: 40}}$

Hence, the discount is Rs 40 .

Now, we have to find the rate of discount :

Given :

• Discount = Rs 40
• Marked Price = Rs 200

According to the question by using the formula we get,

$\dashrightarrow \sf Discount\% =\: \bigg\lgroup \dfrac{40}{200} \times 100\bigg\rgroup \%$

$\dashrightarrow \sf Discount\% =\: \bigg\lgroup \dfrac{40 \times 100}{200}\bigg\rgroup \%$

$\dashrightarrow \sf Discount\% =\: \bigg\lgroup \dfrac{40\cancel{00}}{2\cancel{00}}\bigg\rgroup \%$

$\dashrightarrow \sf Discount\% =\: \bigg\lgroup \dfrac{\cancel{40}}{\cancel{2}}\bigg\rgroup \%$

$\dashrightarrow \sf\bold{\red{Discount\% =\: 20\%}}$

$\therefore$ The rate of discount is 20% .