A mixer is sold at discount of 25% and profit given is 20%. Find the ratio of CP to MRP.

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A mixer is sold at discount of 25% and profit given is 20%. Find the ratio of CP to MRP.

A05:08

B08:05

C04:05

D05:04

Akhilesh ? Apr 2 '25 at 22:36

correct answer is: 05:08
Explanation: The mixer is sold at a 25% discount, meaning the selling price (SP) is 75% of the MRP (0.75 * MRP). The profit is 20%, so SP is also 120% of the CP (1.20 * CP). Setting these equal gives 0.75 * MRP = 1.20 * CP. Solving for the ratio CP/MPR yields 5/8 or 05:08.

• OPTION a (05:08): Correct, as shown by the calculations.
• OPTION b (08:05): Incorrect, as it reverses the correct ratio.
• OPTION c (04:05): Incorrect, does not match the calculated ratio.
• OPTION d (05:04): Incorrect, does not match the calculated ratio.

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A trader sells an article at Rs. 3200 with 20% loss. What will be the selling price of article if trader gains 25%?

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A trader sells an article at Rs. 3200 with 20% loss. What will be the selling price of article if trader gains 25%?

ARs. 5000

BRs. 3500

CRs. 4000

DRs. 4700

Akhilesh ? Apr 2 '25 at 23:01

correct answer is: option a (Rs. 5000)
Explanation: Let the cost price of the article be $CP$.
Given, selling price (SP) = Rs. 3200 and loss = 20%.
We know that $SP = CP - Loss$. Since the loss is 20%, $SP = CP - 0.20CP = 0.80CP$.
Therefore, $3200 = 0.80CP$, which implies $CP = \frac{3200}{0.80} = 4000$.
Now, the trader wants to gain 25%. So, the new selling price (SP') will be $SP' = CP + 0.25CP = 1.25CP$.
Substituting the value of CP, $SP' = 1.25 \times 4000 = 5000$.
So, the selling price of the article should be Rs. 5000

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If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article whose retail price is Rs.1265. is:

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If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then the cost of production of an article whose retail price is Rs.1265. is:

ARs.632.50

BRs.800

CRs.814

DRs.834.34

Nithin ? Aug 11 '2022 at 19:25

Correct answer is: Rs.800

Explanation:

C.P. of article

$= \Large 1265 \times \frac{100}{110} \times \frac{100}{115} \times \frac{100}{125}$

$= \text{Rs. 800}$

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Ram bought 1600 eggs at Rs. 3.75 per dozen. He sold 900 of them at 2 for Re 1 and the remaining at 5 for Rs. 2. His gain per cent is :

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Ram bought 1600 eggs at Rs.3.75 per dozen. He sold 900 of them at 2 for Re.1 and the remaining at 5 for Rs.2. His gain per cent is:

A40%

B45%

C42%

D46%

Nithin ? Aug 11 '2022 at 8:54

Correct answer is: 46%

Explanation:

C.P. of 12 eggs = Rs.3.75

Therefore, C.P. of 1600 eggs

$=\Large \frac{3.75 \times 1600}{12} = \text{= Rs. 500}$

$\text{S.P. of 900 eggs = }\Large \frac{1}{2} \times 900 = \text{Rs 450}$

S.P. of remaining 700 eggs

$= \Large \frac{2}{5} \times 700 = \text{Rs 280}$

Total S.P. = 450 + 280 = Rs.730

Gain = 730 - 500 = Rs.230

Gain percent =  $\Large \frac{230}{500} \times 100$

= 46%

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By selling a table for Rs.350 instead of Rs.400, loss percent increases by 5%. The cost price of the table is:

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By selling a table for Rs.350 instead of Rs.400, loss percent increases by 5%. The cost price of the table is:

ARs.435

BRs.417.50

CRs.1000

DRs.1050

Nithin ? Aug 11 '2022 at 8:46

Correct answer is: Rs.1000

Explanation:

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

$\Large \frac{400-350}{x} \times 100 = 5$

$\implies \Large 50 \times 100 = 5x$

$\implies x = Rs.1000$

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