Discount
- If on a marked price, the difference of selling prices with a discount of 30 % and two successive discounts of 20 % and 10 % is ₹ 72, then the marked price (in ₹) is
-
View Hint View Answer Discuss in Forum
Let the marked price = ₹ N
The discount equivalent to successive discounts 20 % and 10 % = { r1 + r2 - (r1 r2)/100 } %
Where, r1 = 20 and r2 = 10
Then, 30 - 2 = 28 %
According to the question,
{(100 - 28)N}/100 - {(100 - 30)N}/100 = 72Correct Option: A
Let the marked price = ₹ N
The discount equivalent to successive discounts 20 % and 10 % = { r1 + r2 - (r1 r2)/100 } %
Where, r1 = 20 and r2 = 10
Then, 30 - 2 = 28 %
According to the question,
{(100 - 28)N}/100 - {(100 - 30)N}/100 = 72
⇒ (72N - 70N)/100 = 72
∴ N = (72 x 100)/2 = ₹ 3600
- Ram bought a T.V. with 20 % discount on the labelled price. Had he bought it with 30 % discount he would have saved ₹ 800. The value of the T.V. set that he bought is
-
View Hint View Answer Discuss in Forum
Let Marked price of TV = Rs. q
According to question,q × 80 − q × 70 = 800 100 100 ⇒ 10q = 800 100
Correct Option: B
Marked price of TV = Rs. q (let)
According to question,q × 80 − q × 70 = 800 100 100 ⇒ 10q = 800 100 ⇒ q = 800 × 100 = Rs. 8000 10
- A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at marked price allowing no discount.
-
View Hint View Answer Discuss in Forum
Let C.P of article = Rs. 100
M.P. of article = Rs. k
According to the question,k × 90 = 117 100 ⇒ k = 117 × 100 = Rs. 130 90
Correct Option: A
Let C.P of article = Rs. 100
M.P. of article = Rs. k
According to the question,k × 90 = 117 100 ⇒ k = 117 × 100 = Rs. 130 90
marked price = k = Rs. 130
∴ On allowing no discount profit = 30%
- If the discount of 10% is given on the marked price of a radio, the gain is 20%. If the discount is increased to 20%, the gain percent is :
-
View Hint View Answer Discuss in Forum
Let the C.P. of article be Rs. 100 and the marked price be Rs. q.
Case I= q × 90 = 120 100 ⇒ q = 120 × 100 90 Marked price q = Rs. 400 3
Case IIS.P. = q × 80 = Rs. 4q 100 5 = Rs. 
4 × 400 
= Rs. 320 5 3 3 ∴ Profit = Rs. 320 − 100 3
Correct Option: C
Let the C.P. of article be Rs. 100 and the marked price be Rs. q.
Case I= q × 90 = 120 100 ⇒ q = 120 × 100 90 Marked price q = Rs. 400 3
Case IIS.P. = q × 80 = Rs. 4q 100 5 = Rs. 4 × 400 = Rs. 320 5 3 3 ∴ Profit = Rs. 320 − 100 3 Profit = Rs. 320 − 300 3 Profit = Rs. 20 3 ∴ Profit percent = 20 % 3 Profit percent = 6 2 % 3
- A seller increases the cost price of an article by 30% and fixed the marked price as Rs. 286. But during sale he gave 10% discount to the purchaser. Percentage of profit will be
-
View Hint View Answer Discuss in Forum
According to question ,
C.P. of article = Rs. 100 × 286 = Rs. 220 130 S.P. of article = 286 × 90 = Rs. 257.40 100
Correct Option: A
According to question ,
C.P. of article = Rs. 100 × 286 = Rs. 220 130 S.P. of article = 286 × 90 = Rs. 257.40 100
∴ Profit = Rs. (257.40 – 220) = Rs. 37.40∴ Profit percent = 37.40 × 100 = 17% 220
