SSC GD Constable 4 Feb 2025 Shift 2 Paper

Section: Elementary Mathematics

Question : 59 of 80

Marks: +1, -0

A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 26% less than what is written on it. Find his profit percentage.

$34\;{5}/{37}\%$
$36\;{6}/{37}\%$
$37\;{10}/{37}\%$
$35\;{5}/{37}\%$

Validate

Solution:

\;\text " Profit Percentage "\;= (\;{\;\text " Selling Price "\;- \;\text " Cost Price "\;}/{\;\text " Cost Price "\;}) × 100

Calculation:
Let the Cost Price (CP) of 1 kg be ₹100.
Since the shopkeeper uses a weight that is

26 \%

less, the weight used is

74 \%

of 1 kg .
⇒ Actual weight used

=0.74 kg

Selling Price (SP) for

0.74 kg=₹ 100

(as he claims to sell at cost price for 1 kg )
Profit = SP - CP for 0.74 kg
CP for

0.74 kg=0.74 × 100=₹ 74

Profit

=100-74=₹ 26

Profit Percentage

=\;{\;\text " Prof it "\;}/{ CP } × 100

⇒ Profit Percentage

=\;{26}/{74} × 100

⇒ Profit Percentage

=\;{2600}/{74}=35 \;{5}/{37} \%

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