model 10 reduced/increased price of an article Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC CPO S.I.2008]

An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for Rs.40. The price of 15 mangoes before increase was

a) Rs.20

b) Rs.25

c) Rs.10

d) Rs.15

Answer: (b)

Let the original price of 1 mango be x.

New rate = 120% of x = ${6x}/5$

Number of mangoes bought in Rs.40 = $40/x$

New quantity = ${40 × 5}/{6x} = 100/{3x}$

$40/x – 100/{3x} = 4$

${120 – 100}/{3x} = 4 ⇒ 20/{3x} = 4$

3x = 5 ⇒ $x$ = Rs.$5/3$

Price of 15 mangoes before increase = $5/3 × 15$ = Rs.25

Question : 12 [SSC CHSL 2014]

A tradesman marks his goods at 25 p.c. above the cost price. If he reduces the marked price by 12$1/2$ p.c., then his profit will be

a) 6$3/8$ p.c.

b) 5$1/3$ p.c.

c) 9$3/8$ p.c.

d) 7$3/5$ p.c.

Answer: (c)

Required profit percent = $(x + y + {xy}/100)%$

by Here, x = 25%, y = - $25/2%$

= $(25 – 25/2 – {25 × 25}/200)% = (25/2 – 25/8)%$

= $({100 – 25}/8)% = 75/8 % = 9{3}/8%$

IMPORTANT quantitative aptitude EXERCISES

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