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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) 23 (D) ₹ 160 (v) 614% (E) 60% (vi) 12.5% - Mathematics

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Question

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
Match the Columns

Solution

Column I Column II
(i) 3:5 (E) 60%
(ii) 2.5 (H) 250%
(iii) 100% (O) 3:3
(iv) `2/3` (J) `66 2/3%`
(v) `6 1/4%` (G) `1/16`
(vi) 12.5% (L) 0.125
(vii) SP when CP = ₹ 50 and loss = 6 % (B) ₹ 47
(viii) SP when CP = ₹ 50 and profit = ₹ 4 (A) ₹ 54
(ix) Profit% when CP = ₹ 40 and SP = ₹ 50 (F) 25%
(x) Profit% when CP = ₹ 50 and SP = ₹ 60 (K) 20%
(xi) Interest when principal = ₹ 800,
Rate of interest = 10% per annum
nd period = 2 years
(D) ₹ 160
(xii) Amount when principal = ₹ 150,
Rate of interest = 6% per annum
and period = 1 year
(I) ₹ 159

Explanation:

(i) 3:5 i.e. `3/5 = 3/5 xx 100/100 = 300/5%` = 60%

(ii) 2.5 = `25/10 xx 100/100 = 2500/10%` = 250%

(iii) 100% = `100/100 = 1 = 1 xx 3/3 = 3/3` i.e. 3:3

(iv) `2/3 = 2/3 xx 100/100 = 200/3% = 66 2/3%`

(v) `6 1/4% = 25/4% = 25/4 xx 1/100 = 1/16`

(vi) 12.5% = `12.5/100` = 0.125

(vii) C.P. = ₹ 50, Loss = 6%

∴ S.P. = `((100 - 6)/100) xx 50`

= `(94 xx 50)/100`

= ₹ 47

(viii) C.P. = ₹ 50, profit = ₹ 4

∴ S.P. = ₹ (50 + 4) = ₹ 54

(ix) C.P. = ₹ 40, S.P. = ₹ 50

∴ Profit% = `((50 - 40)/40) xx 100`

= `10/40 xx 100`

= 25%

(x) C.P. = ₹ 50, S.P. = ₹ 60

∴ Profit % = `((60 - 50)/40) xx 100`

= `10/50 xx 100`

= 20%

(xi) Principal = ₹ 800, Rate = 10% p.a., Time = 2 years

∴  Interest = `(P xx R xx T)/100`

= `(800 xx 10 xx 2)/100`

= ₹ 160

(xii) Principal = ₹ 150, Rate = 6% p.a., Time = 1 year

Interest = `(150 xx 6 xx 1)/100` = ₹ 9

∴ Amount = ₹ (150 + 9) = ₹ 159

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Chapter 7: Comparing Quantities - Exercise [Page 213]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 129. | Page 213

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