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Question
A store purchased pens at ₹ 216 per dozen. He paid ₹ 58 for conveyance and sold the pens at the discount of ₹ 2 per pen and made a overall profit of ₹ 50. Find the M.P. of each pen.
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Solution
Cost of a dozen pens = ₹ 216
Paid for conveyance = ₹ 58
Cost price of 12 pens = 216 + 58
= ₹ 274 ...[∵ 1 dozen = 12]
Profit of 12 pens = ₹ 50
Profit = S.P. – C.P.
⇒ 50 = S.P. – 274
⇒ S.P = 50 + 274 = ₹ 324
Also discount allowed per pen = ₹ 2
Discount for 12 pens = 2 × 12 = ₹ 24
S.P. = M.P. – Discount
⇒ 324 = M.P. – 24
⇒ M.P. = 324 + 24 = ₹ 348
Marked price for 12 pens = ₹ 348
M.P. of a pen = `348/12` = ₹ 29
M.P. per pen = ₹ 29
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A store is having a 25% discount sale. Sheela has a Rs 50 gift voucher and wants to use it to buy a board game marked for Rs 320. She is not sure how to calculate the concession she will get. The sales clerk has suggested two ways to calculate the amount payable.
- Method 1: Subtract Rs 50 from the price and take 25% off the resulting price.
- Method 2: Take 25% off the original price and then subtract Rs 50.
For each method, calculate the amount Sheela would have to pay. Show your work.
Match the entries in Column I with the appropriate entries in Column II:
| Column I | Column II |
| (i) 3:5 | (A) ₹ 54 |
| (ii) 2.5 | (B) ₹ 47 |
| (iii) 100% | (C) ₹ 53 |
| (iv) `2/3` | (D) ₹ 160 |
| (v) `6 1/4%` | (E) 60% |
| (vi) 12.5% | (F) 25% |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (G) `1/16` |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (H) 250% |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(K) 20% |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(L) 0.125 |
| (M) 3 : 2 | |
| (N) ₹ 164 | |
| (O) 3 : 3 |
