Question

After availing a successive discount of 18% and 6%, Raghu bought a smart phone for Rs. 11,562. What is the original price of the phone?
A) 15000
B) 14500
C) 12950
D) None of these

Answer 1

the option d is correct.

As the first answer for A is11,400

for B it's 11,520

for C it is 11,080.

Hope it help.

Answer 2

Original price of the phone = Rs. 15000 [ The correct option is A) 15000 ]

Given :

After availing a successive discount of 18% and 6%, Raghu bought a smart phone for Rs. 11,562.

To find :

The original price of the phone is

A) 15000

B) 14500

C) 12950

D) None of these

Solution :

Step 1 of 2 :

Form the equation to calculate original price of the phone

Let original price of the phone = Rs. C

Since after availing a successive discount of 18% and 6%, Raghu bought a smart phone for Rs. 11,562

So by the given condition

$\displaystyle \sf C \times \bigg[1 - \frac{18}{100} \bigg] \times \bigg[1 - \frac{6}{100} \bigg] = 11562$

Step 2 of 2 :

Calculate original price of the phone

$\displaystyle \sf C \times \bigg[1 - \frac{18}{100} \bigg] \times \bigg[1 - \frac{6}{100} \bigg] = 11562$

$\displaystyle \sf{ \implies }C \times \frac{82}{100} \times \frac{94}{100} = 11562$

$\displaystyle \sf{ \implies }C = 11562 \times \frac{100}{82} \times \frac{100}{94}$

$\displaystyle \sf{ \implies }C = 15000$

∴ The original price of the phone = Rs. 15000

Hence the correct option is A) 15000

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