Discount
- The market price of a clock is ₹ 3200 . It is to be sold at ₹ 2448 at two successive discounts . If the first discount is 10 %, then the second discount is
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Let rate of second discount = r %
MP = ₹ 3200 , SP = ₹ 2448 ,
r1 = 10 % and r2 = r %
∴ y = MP x (100 - r1/100) (100 - r2/100)Correct Option: C
Let rate of second discount = r %
MP = ₹ 3200 , SP = ₹ 2448 ,
r1 = 10 % and r2 = r %
∴ y = MP x (100 - r1/100) (100 - r2/100)
⇒ 2448 = [3200 x (100 - 10) x (100 - r)] / (100 x 100)
⇒ (2448 x 100 x 100) / (3200 x 90) = 100 - r
∴ r = 100 - 85 = 15 %
- 20% profit is made when a discount of 20% is given on the marked price. When the discount is 30% profit will be
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Let the marked price of article be Rs. M and its C.P. be Rs. 100.
According to the question,M × 80 = 100 × 120 100 100 ⇒ M = 120 × 100 = Rs. 150 90
Correct Option: B
Let the marked price of article be Rs. M and its C.P. be Rs. 100.
According to the question,M × 80 = 100 × 120 100 100 ⇒ M = 120 × 100 = Rs. 150 90 S.P. after a discount of 30% = 150 × 70 100
Selling Price = Rs. 105 i.e. gain = 5%
- A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays ₹ 3,402 as the price including the sales tax, then the marked price is
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Let Marked price of article = ₹ p
∴ S.P. of article = ₹ 
p × 90 × 108 
100 100
Correct Option: B
Let Marked price of article = ₹ p
∴ S.P. of article = ₹ p × 90 × 108 100 100 ∴ p × 90 × 108 = 3402 9 9 ⇒ p = 3402 × 100 × 100 90 × 108
Hence Marked price of article = ₹ 3500
- A businessman allows a discount of 10 % on the marked price. What percent above the cost price must he mark his goods to make a profit of 17 percent ?
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Let C.P. of article = ₹ 100
and marked price of article = ₹ p∴ p × 90 = 117 100
2nd method to solve this question.
Let, C.P. = ₹ 100, r = 17%, D = 10%, M.P. = ?M.P. = 100 + r C.P. 100 − r
Correct Option: C
Let C.P. of article = ₹ 100
and marked price of article = ₹ p∴ p × 90 = 117 100 ⇒ p = 117 × 100 = ₹ 130 90
i.e. 30% above the cost price.
2nd method to solve this question.
Let, C.P. = ₹ 100, r = 17%, D = 10%, M.P. = ?M.P. = 100 + r C.P. 100 − r M.P. = 100 + 17 100 100 − 10 M.P. = 117 × 100 90
⇒ 30% above cost price.
- Charging 30 % above its production cost a radio maker puts a label of ₹ 286 on a radio as its price. But at the time of selling it, he allows 10 % discount on the labelled price. What will his gain be ?
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Let Production cost of radio= ₹ p
∴ p × 130 = 286 100 ⇒ p = 286 × 100 = ₹ 220 130
∴ Selling price = 90% of 286
Correct Option: D
Let Production cost of radio= ₹ p
∴ p × 130 = 286 100 ⇒ p = 286 × 100 = ₹ 220 130
∴ Selling price = 90% of 286∴ Selling price = 286 × 90 = ₹ 257.40 100
Required Profit = ₹ (257.40 – 220) = ₹ 37.40
