Arun goes to electronic shop to buy a T.V and a washing machine. He bargains for a 20% discount on a washing machine and 10% discount on a T.V. However the shopkeeper by mistake, interchanged the discount percentage figure while making the bill and arun paid accordingly. When compared to what he should pay for his purchases, what percentage did arun pay less amount given that the washing machine cost 60% as much as the T.V.

Arun goes to electronic shop to buy a T.V and a washing machine. He bargains for a 20% discount on a washing machine and 10% discount on a T.V. However the shopkeeper by mistake, interchanged the discount percentage figure while making the bill and arun paid accordingly. When compared to what he should pay for his purchases, what percentage did arun pay less amount given that the washing machine cost 60% as much as the T.V. Correct Answer 2.89%

Given:

Arun goes to electronic shop to buy a T.V and a washing machine. He bargains for a 20% discount on a washing machine and 10% discount on a T.V.

The washing machine cost 60% as much as the T.V.

Formula used:

After discount cost of the product = given amount (100 – discount%)/100

Calculation:

Let the cost price of T.V Rs. 100

According to the question,

The cost price of washing machine 60% of T.V price

⇒ 100(60/100)

⇒ Rs. 60

The bargained price by arun on washing machine and T.V

Cost of washing machine = 20% discount of Rs. 60

⇒ 60(100 – 20)/100

⇒ Rs. 48

Cost of T.V = 10% discount of Rs. 100

⇒ 100(100 – 10)/100

⇒ Rs. 90

So, Total bargained value = 90 + 48

⇒ Rs. 138

But, the actually pays

Cost of washing machine = 10% discount of Rs. 60

⇒ 60(100 – 10)/100

⇒ Rs. 54

Cost of T.V = 20% discount of Rs. 100

⇒ 100(100 – 20)/100

⇒ Rs. 80

The total actually pays = 80 + 54

⇒ Rs. 134

Arun pays less amount in percentage

⇒ ((138 – 134)/138)× 100

⇒ 2.89%

∴ Arun pays less amount is 2.89%.

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