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प्रश्न
By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was ______.
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उत्तर
By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was ₹ 80000.
Explanation:
Selling price of an article = ₹ 112000
Gain% = 40%
Let ₹ x be the cost price of the article.
∴ Cost price = Selling price – Profit % on cost price
∴ Selling price = Cost price + Profit % on cost price
So, `112000 = x + x xx 40/100`
⇒ `112000 = (100x + 40x)/100`
⇒ 112000 × 100 = 140x
⇒ `x = (112000 xx 100)/140`
⇒ `x = (112000 xx 5)/7`
⇒ x = 16000 × 5
⇒ x = ₹ 80000
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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 |
