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The difference between the amount when a PPE kit is sold at 30% loss and at 12.5% profit is Rs. 680, then find the cost price of the PPE kit.

The difference between the amount when a PPE kit is sold at 30% loss and at 12.5% profit is Rs. 680, then find the cost price of the PPE kit. Correct Answer Rs. 1600

GIVEN:

Difference between the amount when a PPE kit is sold at 30% loss and at 12.5% profit is Rs. 680

CALCULATION:

Let the C.P. of the PPE kit be Rs. x.

Difference amount = Rs. 680

Amount at which kit sold at Loss = Rs. 0.7x

Amount at which kit sold at Profit = Rs. 1.125x

According to question,

⇒ 1.125x – 0.7x = 680

⇒ 0.425x = 680

⇒ x = 680/0.425

⇒ x = 1600

∴the Cost price of the PPE kit = Rs. 1600

Alternate Solution

If article is sold at 30% loss

We know that 30% = 3/10

It means if CP is 10 units then SP will be 7 units

If article is sold at 12.5% profit

We know that 12.5%= 1/8

It means if CP is 8 units then SP will be 9 units

In any case CP of aticel will remain same

So,

Cost.Price.

Selling.Price.

80

56

80

90

Difference amount = Rs. 680

⇒ (90 – 56) units = Rs. 680

⇒ 34 units = Rs. 680

⇒ 1 unit = Rs. 20

So, Cost Price of PPE kit = 80 units

⇒ Cost Price of PPE kit = Rs. (80 × 20)

⇒ Cost Price of PPE kit = Rs. 1600

∴the Cost price of the PPE kit = Rs. 1600

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