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

Question : 1 [SSC CPO S.I.2006]

A reduction of 15% in the price of apples would enable a purchaser to get 2 kg more apples for Rs.240. The new price (per kg) of apples is

a) Rs.20

b) Rs.36

c) Rs.15

d) Rs.18

Answer: (d)

Let the original rate = x per kg.

New rate = 85% of x = ${85x}/100 = {17x}/20$

Original quantity for Rs.240 = $240/x$

New quantity = 240 × $20/{17x} = 4800/{17x}$

$4800/{17x} – 240/x$ = 2

${4800 – 4080}/{17x}$ = 2

$720/{17x} = 2 ⇒ x = 720/{2 × 17}$

Original rate per kg = Rs.$720/34$

Reduced rate = Rs.${17x}/20$

= Rs.$(17/20 × 720/34)$ = Rs.18

Question : 2 [SSC CGL Prelim 2003]

A reduction of 20% in the price of salt enabled a purchaser to obtain 4 kg. more for Rs.100. The reduced price of salt per kg is :

a) Rs.6.25

b) Rs.6.50

c) Rs.4

d) Rs.5

Answer: (d)

Due to fall in price, there is a saving of 20% of Rs.100 i.e., Rs.20.

With this amount the purchaser purchases 4 kg. of salt.

Reduced price of salt per kg = $20/4$ = Rs.5

Question : 3 [SSC CGL Prelim 2004]

A tradesman sold an article at a loss of 20%. If the selling price had been increased by Rs.100, there would have been a gain of 5%. The cost price of the article was :

a) Rs.400

b) Rs.250

c) Rs.200

d) Rs.25

Answer: (a)

Let the C.P. of article be x.

105% of x – 80% of x = 100

25% of x = 100

$x = {100 × 100}/25$ = Rs.400

Question : 4 [SSC CGL Tier-I 2016]

A reduction of 20% in the price of rice enables a buyer to buy 5 kg more for rupees 1200. The reduced price per kg of rice will be:

a) 48

b) 60

c) 36

d) 45

Answer: (a)

Original price of rice = Rs.x per kg.

New price = ${80x}/100$ = Rs.${4x}/5$ per kg

According to the question,

$1200/{{4x}/5} – 1200/x$ = 5

${1200 × 5}/{4x} – 1200/x$ = 5

$1500/x – 1200/x$ = 5

$300/x$ = 5 ⇒ 5x = 300

$x = 300/5$ = Rs.60 per kg

New price of rice

= Rs.$({4 × 60}/5)$ per kg = Rs.48 per kg

Question : 5 [SSC MTS 2013]

The reduction of 12 in the selling price of an article will change 5% gain into 2$1/2%$ loss. The cost price of the article is

a) Rs.80

b) Rs.100

c) Rs.140

d) Rs.160

Answer: (d)

If the C.P. of article be Rs.x, then

$x × (105 – {195}/2)$% = 12

$x × 15/200 = 12 ⇒ x = {12 × 200}/15$ = Rs.160

IMPORTANT quantitative aptitude EXERCISES

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