model 2 hiking & discounting Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 4 EXERCISES
The following question based on discount topic of quantitative aptitude
(a) 22%
(b) 20%
(c) 19%
(d) 25%
The correct answers to the above question in:
Answer: (c)
Let the C.P. of each article be Rs.100.
Marked price = Rs.140
S.P. = ${140 × 85}/100$ = Rs.119
Gain per cent = 19%
Using Rule 8,
Here, r = 40%, $r_1$ = 15%
Gain % = ${r × (100 - r_1)}/100 - r_1$
= ${40 × (100 - 15)}/100 - 15$
= ${40 × 85}/100 - 15$
= $3400/100$ - 15 = 19%
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Question : 1
A shopkeeper marks his sarees at 20% above the cost price and allows the purchaser a discount of 10% for cash buying. What profit percent does he make?
a) 12%
b) 8%
c) 10%
d) 18%
Answer »Answer: (b)
Gain % = $20 - 10 - {20 × 10}/100$
= 20 - 12 = 8%
Using Rule 8,
Here, r = 20%, $r_1$ = 10%
Profit or loss
= ${r × (100 - r_1)}/100 - r_1$
= ${20 × (100 - 10)}/100 - 10$
= 18 - 10 = 8% profit.
Question : 2
A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by
a) 40%
b) 30%
c) 27%
d) 33%
Answer »Answer: (b)
C.P. of article = Rs.100
Let marked price of article x.
$x × 90/100 = 117$
$x = {117 × 100}/90$
= Rs.130 or 30% above the cost price.
Using Rule 8,
Here, $r_1$ = 10%, gain % = 17%, r = ?
Gain % = ${r × (100 - r_1)}/100 - r_1$
17 = ${r × (100 - 10)}/100 - 10$
27 = ${r × 90}/100$ ⇒ r = 30%
Question : 3
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 Rs.3,402 as the price including the sales tax, then the marked price is
a) Rs.3,500
b) Rs.3,800
c) Rs.3,600
d) Rs.3,400
Answer »Answer: (a)
Marked price of article = Rs.x (let)
S.P. of article
= Rs.$(x × 90/100 × 108/100)$
$x × 90/100 × 108/100$ = 3402
$x = {3402 × 100 × 100}/{90 × 108}$
$x$ = Rs.3500
Question : 4
If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is
a) 11$1/9$%
b) 13$1/9$%
c) 12$1/9$%
d) 10$1/9$%
Answer »Answer: (a)
Marked price = Rs.x
Discount = Rs.$x/5$
S.P. = $x - x/5 = Rs.{4x}/5$
Loss = Rs.$x/10$
C.P. = ${4x}/5 + x/10$
= ${8x + x}/10 = Rs.{9x}/10$
Loss per cent = ${x/10}/{{9x}/10} × 100$
= $100/9 = 11{1}/9$%
GET discount PRACTICE TEST EXERCISES
model 1 profit x after discount y
model 2 hiking & discounting
model 3 successive discount
model 4 mixed discount problems of marked price
discount Shortcuts and Techniques with Examples
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