profit and loss Model Questions & Answers, Practice Test for ibps so prelims 2023

Question :6

Three successive discounts of 10%, 12% and 15% amount to a single discount of:

Answer: (d)

Applying successive discounts of 10%, 12% and 15% on 100, we get 100 × 0.9 × 0. 88 × 0.85 = 67.32

⇒ Single discount = 100 – 67.32 = 32.68

Hence, none of the given options is correct.

Question :7

A book is sold at profit of Rs. 20, which is 10% of its cost price. If its C.P. is increased by 50% and it is still sold at a profit of 10%, then find the new profit.

Answer: (b)

10% of cost price = Rs. 20

∴ Original cost of book = Rs. 200

Now, revised cost = 200 × 1.5 = Rs. 300

∴ Profit = 10% of C.P. = Rs. 30

Question :8

A man sold his watch at a loss of 5%. Had he sold it for Rs. 56.25 more, he would have gained 10%. What is the cost price of the watch (in Rs.) ?

Answer: (c)

Let Cost Price of watch be Rs. x

S.P = x – $5/100 x$ = .95 x

If S.P = 0.95x + 56.25 then profit = 10%

${0.95x + 56.25 - x}/x × 100 = 10$

= $56.25/x - 1 0.05 = 1/10$

= $56.25/x = 1/10 + 5/100 = 3/20$

$x = 56.25 × 20/3$ = 375

Question :9

Each of the two horses is sold for Rs. 720. The first one is sold at 25% profit and the other one at 25% loss. What is the % loss or gain in this deal ?

Answer: (a)

Total selling price of two horses = 2 × 720 = Rs. 1,440

The CP of first horse = $720 × 100/125$ = Rs. 576

The CP of second horse = $720 × 100/75$ = Rs. 960

Total CP of two horses = 576 + 960 = Rs. 1,536

Therefore, loss = Rs. 1,536 – Rs. 1,440 = Rs. 96

∴ % loss = ${96 × 100}/1536$ = 6.25%

Question :10

Profit as a percentage of the selling price is 25%. Express it as a percentage of cost price.

Answer: (c)

Percentage of cost = $\text"Profit%"/{100 - \text"P"%}$ × 100

= $25/{100 - 25} × 100 = 33{1}/3$%.

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