percentage Model Questions & Answers, Practice Test for ssc mts tier 1 2024

Question :6

A large watermelon weighs 20 kg with 96% of its weight being water. It is allowed to stand in the sun and some of the water evaporation so that now, only 95%, of its weight is water. Its reduced weight will be

Answer: (d)

96% of 20 kg = $96/100 × 20$ = 19.2 kg [wt. of water]

Let 'x' kg of water in evaporated, then

19.2 – x = 95% of (20 – x )

⇒ 19.2 – x = ${95 × (20 - x)}/100$

⇒ 1920 – 100 x = 1900 – 95 x

⇒ 5 x = 20 ⇒ x = 4 kg

∴ Reduced wt = 20 – 4 = 16 kg

Question :7

94.5% of 550 = ?

Answer: (d)

94.5% of 550 = ?

? = $550 × 94.5/100$ = 519.75

Question :8

Mr. Giridhar spends 50% of his monthly income on household items and out of the remaining he spends 50% on transport, 25% on entertainment, 10% on sports and remaining amount of Rs. 900 is saved. What is Mr. Giridhar’s monthly income ? (weight in gm)

Answer: (b)

Total expenses = $1/2 + 1/4 + 1/8 + 1/20$

= ${20 + 10 + 5 + 2}/40 = 37/40$

Saving = Rs. 900

Total monthly income = $\text"Saving"/\text"1 - Total expense"$

= $900/(1 - 37/40) = 900/{3/40} = 900/3 × 40$ = Rs. 12000

Question :9

When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.

Answer: (a)

Since, expenditure = price × consumption

∴ 110% of 30 = $132/100$ × new consumption

$110/100 × 30 = 132/100 ×$ new consumption

New consumption = 25 kg

Question :10

There are 1556 employees in an organization. Out of these, 25% got transferred to different places. How many such employees got the transfer?

Answer: (e)

Required number of transferred employees

= ${1556 × 25}/100 = 389$

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