Question

A shopkeeper earns 20% for his customer instead of giving discount of 10% if the selling value of a think is 450 then what will the written selling cost
1.Rs.300
2.Rs.400
3.Rs.500
4.Rs.600​

Answer 1

If the selling value of a thing is Rs. 450 then the written selling cost is Rs. 600 due to which he earns 20% profit even after giving a discount of 10%.

Step-by-step explanation:

The selling value of a thing i.e., the C.P. of the thing = Rs. 450

Profit% = 20%

∴ S.P. of the thing = $[\frac{100+P}{100}] * C.P. = [\frac{100+20}{100}] * 450 = [\frac{120}{100}] * 450$ = Rs. 540

Let the written selling cost i.e., the M.P. of the thing be Rs. “x”.

Discount% = 10%

We know that,

M.P. – [10% of M.P.] = S.P.

⇒ x – 0.1x = 540

⇒ 0.9x = 540

⇒ x = 540/0.9  

⇒ x = Rs. 600

Thus, the written selling cost of the thing is option (4): Rs. 600.

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