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Madhav purchased an item for Rs. 42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What i
Question

Madhav purchased an item for Rs. 42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What is the overall gain (in Rs. )?

A.

6720

B.

4200

C.

1680

D.

2520

Correct option is C

Given:

Purchasing cost of item = Rs 42,000

Loss percentage = 20%

Gain at again selling = 30%

Formula Used:

Loss = CP - SP

Gain = SP - CP

SP=100Loss%100×CP\text{SP} = \frac{100 - \text{Loss\%}}{100} \times \text{CP}​​

​​​SP=100+Profit%100×CP\text{SP} = \frac{100 + \text{Profit\%}}{100} \times \text{CP}​​

Solution:

Selling price with a loss of 20% = 10020100×42000\frac{100 - 20}{100} \times 42000​​

SP = 80 ×\times​ 420 = Rs 33,600

Now, the cost price = Rs 33,600 and gain = 30%.

So, Selling Price = 100+30100×33600\frac{100 + 30}{100} \times 33600​​

SP = 130 ×\times​ 336 = Rs 43,680

Overall Gain = Rs (43680 - 42000) = Rs 1,680.

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