Question

A shopkeeper gives a discount of 10% once in 4 months. If a man purchases an article in this scheme for
Rs.25515 in December, then what was the initial price in January?

Answer 1

A shopkeeper gives a discount of 10% once in 4 months. If a man purchases an article in this scheme for

Rs.25515 in December, then what was the initial price in January?

Answer 2

The initial price in January was Rs 28,350.

Explanation:

Given : A shopkeeper gives a discount of 10% once in 4 months.

If a man purchases an article in this scheme for  Rs.25515 in December,

Then let the actual price of the article be x.

After 10% discount , the price of the article = Actual price - 10% of actual price

$= x- 0.10x= 0.90x$  [10%=0.10 ]

According to the question , we have

$0.9x=25515\\\\\Rightarrow\ x=\dfrac{25515}{0.9}=\dfrac{255150}{9}=28350$

So , the actual price of the article=  Rs 28,350

Since the sale will occur after 4 months if it occurs in December.

And January comes just after December, So the initial price in January was Rs 28,350.

∴  The initial price in January was Rs 28,350.

# Learn more :

If x % of 500= 10, find the vlue of x.

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