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A shopkeeper purchased a calculator for ₹ 650. He sells it at a discount of 20% and still makes a profit of

20%. Find:

(i) the selling price

(ii) marked price Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

(i) It is given that

C.P. = ₹ 650

Profit = 20%

We know that

S.P. = [1 + P/100] of C.P.

Substituting the values

= [1 + 20/100] × 650

By further calculation

= 120/100 × 650

So we get

= 12 × 65

= ₹ 780

Therefore, the selling price of the calculator is ₹ 780.

(ii) It is given that

S.P. = ₹ 780

Discount = 20%

We know that

S.P. = [1 – d/100] of M.P

Substituting the values

780 = [1 – 20/100] of M.P.

By further calculation

780 = 80/100 of M.P.

It can be written as

M.P. = 780 × 100/80

So we get

M.P. = 780 × 10/8

M.P. = 7800/8

M.P. = ₹ 975

Therefore, the market price of the calculator is ₹ 975.

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