Successive discounts of 1212

The correct option is B Rs. 3200 Let the M.P. of the cupboard be Rs x . #160;Then, (100 12.5)% of (100 7.5)% of Rs. x=2590 #10; ...

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Standard VIII

Mathematics

Finding Discounts

Successive di...

Question

Successive discounts of $12 \frac{1}{2}$ % and $7 \frac{1}{2}$ % are given on the marked price of a cupboard. If the customer pays Rs $2590$ , then what is the marked price?

Rs.

3108

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Rs.

3148

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Rs.

3200

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Rs.

3600

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Solution

The correct option is B Rs. $3200$
Let the M.P. of the cupboard be Rs $x$ .
Then, $(100 - 12.5) %$ of $(100 - 7.5) %$ of Rs. $x = 2590$
$\Rightarrow \frac{87.5}{100} \times \frac{92.5}{100} \times x = 2590$
$\Rightarrow x = \frac{2590 \times 100 \times 100}{87.5 \times 92.5} =$ Rs. $3200$

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Successive discounts of 1212% and 712% are given on the marked price of a cupboard. If the customer pays Rs 2590, then what is the marked price?

The correct option is B Rs. 3200Let the M.P. of the cupboard be Rs x. Then, (100−12.5)% of (100−7.5)% of Rs. x=2590 ⇒87.5100×92.5100×x=2590 ⇒x=2590×100×10087.5×92.5= Rs. 3200

Successive discounts of $12 \frac{1}{2}$ % and $7 \frac{1}{2}$ % are given on the marked price of a cupboard. If the customer pays Rs $2590$ , then what is the marked price?

The correct option is B Rs. $3200$
Let the M.P. of the cupboard be Rs $x$ .
Then, $(100 - 12.5) %$ of $(100 - 7.5) %$ of Rs. $x = 2590$
$\Rightarrow \frac{87.5}{100} \times \frac{92.5}{100} \times x = 2590$
$\Rightarrow x = \frac{2590 \times 100 \times 100}{87.5 \times 92.5} =$ Rs. $3200$